Início:

Com uma crise e diversos problemas econômicos em várias vertentes, que afetou principalmente diversas corretoras imobiliárias, a grande área metropolitana que agrega Dallas e Fort Worth (DFW) e o estado do Texas sofreu grandes efeitos. Um efeito é visto diretamente na Easton Imobiliária, quando em meio a crise houve 2 reclamações de clientes que haviam vendido suas casas com tal corretora, alegando que tais vendas foram subvalorizadas em relação a média do mercado imobiliário. Logo, é pedido um documento para comprovar que essas vendas tidas como abaixo do mercado foram propositais, mas sim uma consequência direta da crise que fez com que o preço médio das casas fosse reduzido.

Importando a Base de Dados - Easton Imobiliária

library(readxl)
casoeaston <- read_xlsx("C:/Users/marce/OneDrive/Documentos/RStudio/Base_de_dados-master/Base_de_dados-master/Base de dados - Easton Imobiliária.xlsx")

É possível identificar na base diversas informações, como:

  • Tamanho da casa
  • Idade da casa
  • Corretora
  • Preço da casa
  • Número de quartos
  • Mês de venda
  • Área na DFW
library(knitr)
kable(casoeaston)
Mês Preço Tamanho Quartos Idade Localização Corretora
3 172950 173.54289 3 2 1 0
3 167250 183.01900 3 2 1 0
3 158250 172.24224 3 2 1 0
3 150750 209.77507 4 2 3 0
3 139050 190.35834 3 2 2 1
3 138150 129.41394 2 2 1 0
3 129300 113.52752 2 2 1 0
3 111900 140.74811 3 2 3 0
3 175350 206.98798 4 3 1 0
3 172350 181.25384 4 3 1 0
3 162900 161.93000 3 3 1 0
3 158250 150.22422 4 3 1 0
3 150750 143.16359 3 3 1 0
3 123600 167.22548 3 3 2 0
3 116700 137.31070 2 3 2 0
3 183750 196.67574 3 4 1 0
3 180000 182.46158 3 4 1 0
3 174150 234.02277 4 4 2 0
3 165750 171.68482 2 4 1 0
3 165750 222.40989 3 4 2 0
3 158400 149.38809 2 4 1 0
3 154200 174.37901 3 4 1 0
3 151650 153.56873 3 4 1 0
3 151500 149.29519 3 4 1 0
3 151050 164.43839 3 4 1 0
3 132900 142.79198 2 4 1 0
3 126600 153.84744 3 4 2 0
3 122250 130.25007 2 4 1 0
3 121650 176.14417 4 4 3 1
3 121350 142.23456 3 4 2 0
3 119550 159.14291 3 4 3 0
3 108750 126.16233 2 4 2 0
3 185850 193.98155 3 5 1 0
3 168900 174.37901 3 5 1 0
3 168300 191.65898 3 5 1 0
3 153150 210.51830 3 5 2 0
3 148800 149.57390 3 5 1 1
3 144150 172.24224 4 5 2 0
3 135750 182.27577 3 5 2 0
3 132750 142.04875 3 5 1 0
3 131400 199.46283 3 5 3 1
3 129900 165.08871 3 5 2 0
3 129750 138.33263 2 5 1 0
3 124950 159.60743 3 5 3 0
3 115350 177.16610 3 5 3 0
3 108900 144.09262 3 5 3 0
3 190650 210.05378 4 6 1 0
3 187200 208.47443 4 6 1 0
3 184050 176.14417 3 6 1 0
3 175500 203.45767 4 6 1 0
3 174300 256.13369 4 6 2 0
3 171300 217.48603 4 6 2 0
3 166200 168.43322 3 6 1 0
3 165600 233.55825 4 6 2 0
3 165150 176.42288 3 6 1 0
3 154050 158.39969 3 6 1 0
3 152250 202.43573 3 6 2 0
3 150450 160.72227 3 6 1 0
3 145950 144.55714 3 6 1 0
3 145050 148.45906 3 6 1 0
3 138750 149.10939 3 6 1 0
3 138150 195.65381 4 6 2 0
3 136950 142.60617 3 6 1 0
3 135000 168.99064 3 6 2 1
3 132750 170.66289 3 6 2 0
3 130200 177.72352 3 6 3 1
3 127950 179.67449 3 6 3 0
3 124650 156.54163 3 6 3 0
3 120900 172.05644 3 6 2 0
3 114450 148.64487 3 6 3 0
3 110100 141.95585 3 6 3 1
3 99450 130.43587 2 6 3 1
3 184800 231.79309 4 7 2 0
3 178050 180.04610 2 7 1 0
3 169800 168.06161 4 7 1 0
3 163350 190.63705 3 7 1 0
3 159600 152.45389 3 7 1 0
3 158550 227.51955 3 7 3 0
3 152550 204.38670 3 7 2 0
3 148200 143.44230 3 7 1 0
3 148050 183.85512 3 7 2 0
3 145800 181.53255 3 7 2 0
3 141600 159.05001 3 7 1 0
3 140550 186.73512 3 7 3 0
3 138600 181.16093 4 7 3 0
3 125100 141.58424 3 7 1 0
3 120600 169.45515 4 7 2 0
3 119400 139.35457 3 7 2 0
3 117150 141.77004 3 7 2 0
3 110850 158.21388 3 7 3 1
3 109200 126.53395 2 7 2 0
3 107400 153.66163 2 7 2 0
3 184650 205.22282 4 8 1 0
3 168000 169.26935 3 8 1 0
3 161700 168.80483 3 8 1 0
3 158850 212.93378 3 8 2 0
3 157650 186.64221 3 8 2 0
3 157200 137.12489 4 8 1 0
3 156150 171.12741 4 8 1 0
3 153300 210.23959 3 8 2 0
3 149550 152.17519 2 8 1 0
3 144150 167.59709 3 8 2 0
3 140400 189.33640 4 8 2 1
3 140250 206.24476 4 8 3 0
3 134100 193.23833 3 8 2 1
3 132750 151.61777 3 8 1 0
3 126600 203.45767 3 8 3 0
3 118800 160.25775 3 8 2 0
3 112500 162.48742 2 8 3 0
3 180750 178.46675 3 9 1 0
3 180150 196.58284 3 9 1 0
3 168000 164.81000 3 9 1 0
3 157650 158.02808 3 9 1 0
3 157350 149.94551 4 9 1 0
3 157200 161.09388 4 9 1 0
3 127950 165.36742 3 9 2 0
3 127050 167.22548 3 9 3 0
3 121500 167.78290 3 9 2 0
3 121050 111.57656 2 9 1 0
3 178500 199.83445 4 10 1 0
3 173550 239.13243 4 10 2 0
3 170400 196.39703 3 10 1 0
3 158100 174.75063 3 10 1 0
3 129450 184.22674 3 10 2 0
3 130050 139.26166 3 11 1 0
3 183000 213.49119 3 12 1 0
4 179700 205.59444 3 2 1 0
4 160950 168.71193 3 2 1 0
4 156450 156.91324 3 2 1 0
4 152250 163.97387 3 2 1 0
4 187200 203.08605 4 3 1 0
4 133950 178.37384 3 3 2 0
4 127050 147.53003 4 3 2 0
4 126150 164.62419 4 3 3 0
4 115050 154.03325 4 3 2 0
4 171150 199.18413 3 4 1 0
4 162450 160.16485 2 4 1 0
4 158850 218.69376 4 4 2 0
4 157200 220.64473 4 4 2 0
4 154200 154.12615 2 4 1 0
4 151950 168.89773 3 4 1 0
4 150450 158.21388 3 4 1 0
4 142800 148.27326 3 4 1 0
4 131700 155.51970 3 4 2 1
4 124650 157.65646 3 4 2 0
4 123300 169.17644 4 4 2 0
4 114750 146.78681 2 4 2 0
4 105600 137.58941 2 4 2 0
4 187500 217.57893 3 5 1 0
4 183600 216.46409 4 5 1 0
4 175800 191.65898 3 5 1 0
4 169500 186.54931 3 5 1 0
4 168750 173.07837 3 5 1 0
4 165000 181.25384 3 5 1 0
4 162450 224.73246 3 5 3 0
4 155550 190.07963 2 5 1 0
4 153900 156.72743 3 5 1 0
4 146250 149.01648 3 5 1 0
4 140400 199.92735 4 5 2 1
4 139950 135.63844 2 5 1 0
4 139050 194.35317 4 5 3 0
4 138750 152.17519 3 5 1 0
4 136500 138.51844 2 5 1 0
4 131850 142.60617 3 5 1 0
4 127650 175.12224 3 5 3 0
4 123300 162.95194 3 5 3 0
4 122550 157.19195 3 5 3 0
4 122250 140.28360 2 5 3 0
4 120750 161.27968 3 5 3 0
4 117750 162.85904 3 5 2 0
4 116850 149.66680 3 5 3 0
4 115950 161.37259 3 5 2 0
4 115800 154.96228 3 5 2 0
4 115200 191.65898 4 5 3 0
4 114600 155.98421 3 5 2 0
4 177900 188.87189 3 6 1 0
4 176550 194.26026 3 6 1 1
4 168000 240.43308 4 6 3 0
4 163800 241.73372 4 6 2 0
4 154500 168.52612 3 6 1 0
4 140700 166.11064 4 6 2 0
4 137400 176.98030 3 6 3 0
4 132450 181.99706 3 6 2 1
4 117750 130.25007 2 6 2 0
4 112350 140.65521 2 6 2 0
4 110850 102.00754 2 6 1 0
4 110700 119.28751 2 6 1 0
4 108600 154.59066 3 6 3 0
4 100050 120.58815 2 6 2 1
4 181800 210.33249 4 7 1 0
4 161700 163.32355 3 7 1 0
4 160500 205.78024 3 7 2 0
4 159600 227.89117 4 7 3 0
4 158100 165.83193 3 7 1 0
4 157200 170.56999 3 7 1 0
4 156450 219.43699 4 7 3 1
4 151200 232.25761 3 7 3 0
4 150450 165.73903 3 7 1 0
4 150150 166.20354 3 7 1 0
4 149100 165.92484 3 7 1 0
4 148050 152.54680 3 7 1 0
4 147750 215.16345 3 7 3 0
4 146400 130.62168 2 7 1 0
4 145800 214.32732 4 7 2 1
4 145050 175.95836 4 7 1 0
4 141150 157.00614 3 7 1 0
4 129900 159.70033 3 7 2 1
4 124350 167.31838 4 7 2 0
4 121200 187.47834 4 7 3 0
4 181050 189.15060 3 8 1 0
4 177000 187.57125 4 8 1 0
4 173100 202.62154 3 8 1 0
4 166500 181.34674 4 8 1 0
4 160800 209.68217 4 8 2 0
4 160500 173.91450 3 8 1 0
4 159000 208.10282 4 8 2 0
4 153750 160.72227 3 8 1 0
4 153750 167.22548 3 8 1 0
4 150300 168.34032 3 8 1 0
4 146250 162.48742 3 8 1 0
4 144300 210.14668 3 8 2 0
4 143700 155.24099 3 8 1 0
4 132300 181.62545 3 8 3 0
4 128700 133.68748 3 8 1 0
4 123900 174.37901 4 8 3 0
4 123600 161.55839 3 8 2 0
4 121350 192.49511 3 8 3 0
4 117300 151.33906 3 8 2 0
4 103800 178.28094 3 8 3 0
4 169350 205.31573 3 9 1 0
4 145800 142.69907 3 9 1 0
4 136350 196.11832 3 9 2 0
4 126150 158.39969 3 9 2 0
4 124950 182.36867 4 9 3 1
4 123300 187.38544 3 9 3 0
4 122700 170.66289 3 9 2 0
4 178050 197.41897 3 10 1 0
4 154800 198.25510 4 10 2 0
4 139950 196.95445 3 10 2 0
4 134250 168.52612 4 10 2 0
4 128400 188.12866 3 11 3 0
4 119850 119.19460 2 11 1 0
4 118800 159.60743 4 11 2 1
4 149850 210.61120 4 13 3 0
5 178500 208.84604 4 3 1 0
5 176250 191.10156 3 3 1 0
5 166950 202.15702 3 3 1 0
5 166500 191.38027 3 3 1 0
5 159600 191.19446 3 3 1 0
5 133350 189.52221 3 3 3 0
5 117600 167.13258 3 3 2 0
5 102300 166.85387 3 3 3 0
5 174150 189.70801 3 4 1 0
5 173850 238.76082 3 4 2 1
5 173100 193.79575 3 4 1 1
5 146400 210.42539 4 4 2 0
5 146250 206.15185 4 4 2 0
5 143850 221.48086 4 4 3 0
5 135600 164.06678 3 4 3 0
5 135000 151.89648 3 4 1 0
5 132000 170.75579 3 4 2 0
5 131700 212.46926 4 4 3 0
5 131400 184.22674 3 4 2 0
5 127800 148.45906 3 4 1 0
5 123900 154.03325 3 4 2 1
5 122400 183.76222 4 4 3 0
5 121200 130.90039 2 4 1 0
5 179550 194.07446 4 5 1 0
5 160950 168.24741 3 5 1 1
5 156900 161.46549 3 5 1 0
5 148950 164.90290 3 5 1 0
5 145200 205.12992 4 5 2 0
5 132900 198.71961 3 5 2 0
5 129450 179.48868 3 5 3 0
5 127500 164.43839 3 5 2 1
5 126900 166.57516 3 5 1 0
5 126300 127.37007 2 5 1 0
5 122100 183.48351 3 5 3 1
5 117900 176.32998 3 5 3 0
5 117300 165.36742 2 5 2 0
5 112650 128.67072 2 5 1 0
5 110700 151.80357 2 5 2 0
5 104400 137.58941 2 5 2 0
5 175950 201.87831 3 6 1 0
5 166650 170.75579 3 6 1 0
5 162150 213.95571 3 6 2 0
5 151950 202.52864 4 6 2 0
5 150300 226.40472 4 6 3 0
5 146700 234.95180 4 6 3 1
5 145200 209.31056 3 6 2 0
5 144750 156.82034 3 6 1 0
5 142800 151.24615 3 6 1 0
5 141150 149.94551 3 6 1 0
5 138450 186.92092 4 6 3 0
5 138000 195.09639 4 6 2 0
5 133650 183.29771 4 6 3 0
5 131400 195.09639 4 6 3 0
5 129450 190.45124 3 6 3 0
5 128100 142.14166 3 6 1 0
5 125550 196.11832 3 6 3 0
5 117600 175.02933 4 6 3 0
5 117450 181.06803 3 6 3 0
5 112200 163.69516 2 6 2 0
5 109350 99.31335 2 6 1 0
5 108900 151.06035 3 6 3 0
5 108600 138.42553 2 6 2 0
5 108150 138.61134 2 6 2 0
5 107400 156.35582 3 6 3 0
5 104250 110.83333 2 6 1 0
5 103350 156.91324 3 6 2 0
5 102450 134.61651 2 6 3 0
5 165450 189.61511 3 7 1 0
5 155550 161.09388 3 7 1 0
5 154050 236.80986 4 7 3 0
5 146850 168.15451 3 7 1 0
5 145950 171.49902 3 7 1 0
5 141900 193.79575 3 7 3 0
5 137250 146.78681 2 7 1 0
5 133650 121.23847 4 7 1 0
5 131850 148.83068 3 7 1 0
5 127200 166.11064 4 7 3 0
5 121350 177.90933 3 7 3 0
5 119850 139.44747 3 7 2 0
5 117900 168.43322 4 7 3 0
5 115200 159.14291 3 7 2 0
5 111900 180.32481 3 7 3 1
5 108300 153.47583 3 7 2 0
5 108000 172.52095 3 7 3 0
5 107400 132.29393 2 7 2 0
5 178050 188.03576 3 8 1 0
5 177750 253.81112 4 8 3 0
5 173400 192.86672 3 8 1 0
5 172200 266.81754 4 8 3 0
5 164700 187.57125 3 8 1 0
5 157500 222.78150 4 8 2 0
5 152550 217.02151 3 8 2 0
5 137250 152.82551 3 8 1 0
5 134400 154.40486 2 8 1 0
5 133500 192.40220 3 8 3 0
5 124200 165.64613 4 8 2 0
5 108000 154.86937 3 8 2 0
5 178350 212.74797 4 9 1 0
5 171150 198.44090 4 9 1 1
5 171000 191.00866 4 9 1 0
5 158100 186.27060 3 9 1 0
5 148650 168.52612 3 9 1 0
5 145500 207.26669 4 9 3 0
5 144900 180.69642 4 9 1 0
5 139350 160.16485 3 9 1 0
5 124200 186.82802 3 9 2 0
5 121950 180.32481 3 9 2 0
5 121500 154.12615 3 9 2 0
5 117000 138.42553 3 9 1 0
5 106800 141.02682 2 9 2 0
5 154050 158.58550 4 10 1 0
5 120150 184.87706 4 10 2 1
5 114300 168.15451 3 10 2 1
5 102000 156.26292 3 10 2 0
6 137550 221.57376 4 1 3 0
6 105750 162.39452 3 1 2 0
6 158100 185.80609 3 2 1 0
6 125850 175.67966 3 2 2 1
6 119850 129.87845 2 2 1 0
6 111000 152.17519 4 2 2 0
6 109950 128.11330 2 2 1 0
6 159600 189.05769 3 3 1 0
6 141900 132.29393 2 3 1 0
6 140550 155.79840 3 3 1 0
6 131100 151.80357 3 3 1 0
6 125400 142.04875 3 3 1 0
6 181500 209.40346 4 4 1 0
6 172800 206.05895 4 4 1 0
6 170250 220.55183 3 4 1 0
6 159300 183.01900 3 4 1 0
6 158550 172.98547 4 4 1 0
6 152550 169.82676 3 4 1 0
6 152400 194.44607 3 4 1 0
6 142500 169.36225 3 4 1 0
6 139200 169.54805 2 4 1 0
6 138150 152.73260 3 4 1 0
6 136350 171.87063 3 4 1 0
6 132750 203.45767 3 4 3 1
6 125850 180.78932 3 4 3 1
6 125550 197.23316 4 4 2 0
6 115200 158.86420 4 4 2 0
6 113700 141.86295 3 4 1 0
6 113400 122.72492 2 4 1 0
6 102450 164.43839 3 4 2 0
6 101400 143.53520 3 4 2 1
6 177450 206.05895 3 5 1 0
6 154950 249.81628 4 5 3 0
6 151200 162.20871 3 5 1 0
6 150750 192.95962 3 5 1 0
6 141900 174.28611 4 5 1 0
6 133350 143.99972 3 5 1 0
6 132750 201.87831 4 5 2 0
6 129450 195.09639 4 5 2 1
6 128700 193.14543 3 5 3 1
6 115350 165.64613 3 5 2 0
6 114750 176.23707 3 5 3 1
6 107700 164.90290 4 5 2 0
6 102150 137.31070 2 5 3 0
6 167700 196.11832 4 6 1 0
6 166650 192.12349 3 6 1 0
6 150450 223.33892 3 6 2 0
6 149850 168.06161 3 6 1 1
6 138600 170.19838 3 6 1 0
6 134550 157.37776 3 6 1 0
6 132000 143.99972 2 6 1 0
6 131850 147.53003 3 6 1 0
6 130650 203.08605 4 6 3 0
6 118350 159.79324 3 6 2 0
6 116850 186.82802 4 6 3 0
6 114450 182.55448 3 6 3 0
6 108450 147.62294 3 6 2 0
6 106800 139.63327 3 6 2 0
6 106500 129.22813 2 6 1 0
6 103200 159.60743 3 6 2 0
6 158400 200.85638 3 7 1 0
6 153000 200.11316 3 7 1 0
6 138750 146.78681 3 7 1 0
6 138150 158.86420 3 7 1 0
6 136800 141.77004 3 7 1 0
6 128400 167.96870 3 7 2 0
6 124800 195.74671 3 7 3 0
6 123150 136.19586 2 7 1 0
6 122700 187.38544 4 7 3 0
6 118500 189.05769 3 7 2 0
6 118200 137.96102 2 7 1 1
6 116850 161.46549 3 7 2 1
6 115950 168.34032 3 7 2 0
6 113700 162.30162 3 7 2 1
6 111600 157.00614 3 7 3 0
6 110850 160.44356 3 7 2 0
6 101550 112.78429 2 7 1 0
6 99000 149.75971 3 7 2 0
6 179850 210.98281 4 8 1 0
6 156900 164.15968 3 8 1 0
6 151650 160.07194 3 8 1 0
6 150750 179.30287 3 8 1 0
6 149400 170.56999 3 8 1 0
6 146250 226.49762 4 8 3 0
6 144750 168.24741 3 8 1 0
6 139350 212.00475 4 8 3 0
6 137250 133.40877 2 8 1 0
6 121800 117.42945 2 8 1 0
6 120450 162.02291 3 8 2 0
6 118800 178.46675 3 8 3 0
6 110250 149.38809 3 8 2 0
6 153750 216.09248 4 9 2 0
6 145350 195.18929 3 9 2 0
6 140400 163.32355 3 9 1 0
6 127800 182.74029 3 9 2 0
6 124350 180.97513 3 9 2 1
6 119250 171.68482 3 9 2 1
6 119100 180.41771 4 9 2 1
6 107250 169.26935 3 9 3 0
6 106350 142.04875 3 9 2 0
6 135450 187.75705 4 10 2 0
6 110400 162.48742 3 10 2 0
6 132450 161.55839 3 11 1 0

Obtendo as médias, desvio padrão e medianas de tais relações:

Preços x Corretora:

boxplot(casoeaston$Preço~casoeaston$Corretora,
     col = c('powderblue'),
     main = 'Preço x Corretora',
     xlab = 'Corretora', ylab = 'Preço')

library(psych)
describeBy(casoeaston$Preço, casoeaston$Corretora)
## 
##  Descriptive statistics by group 
## group: 0
##    vars   n     mean       sd median  trimmed      mad   min    max range
## X1    1 415 141066.1 22239.58 139950 140549.1 26242.02 99000 190650 91650
##    skew kurtosis     se
## X1 0.15    -0.95 1091.7
## -------------------------------------------------------- 
## group: 1
##    vars  n   mean       sd median  trimmed     mad   min    max range skew
## X1    1 46 130950 19097.96 128100 129422.4 15456.1 99450 176550 77100 0.75
##    kurtosis      se
## X1     0.04 2815.84

Preços x Tamanho:

plot(casoeaston$Tamanho~casoeaston$Preço,
        col = c('powderblue'),
        main = 'Preço x Tamanho',
        xlab = 'Preço', ylab = 'Tamanho')

describeBy(casoeaston$Preço, casoeaston$Tamanho)
## 
##  Descriptive statistics by group 
## group: 99.3133536047774
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 109350 NA 109350  109350   0 109350 109350     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 102.007541869079
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 110850 NA 110850  110850   0 110850 110850     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 110.833331010757
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 104250 NA 104250  104250   0 104250 104250     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 111.57655535953
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 121050 NA 121050  121050   0 121050 121050     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 112.784294926286
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 101550 NA 101550  101550   0 101550 101550     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 113.527519275059
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 129300 NA 129300  129300   0 129300 129300     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 117.429447106117
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 121800 NA 121800  121800   0 121800 121800     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 119.194604934452
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 119850 NA 119850  119850   0 119850 119850     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 119.287507978049
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 110700 NA 110700  110700   0 110700 110700     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 120.588150588401
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 100050 NA 100050  100050   0 100050 100050     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 121.238471893578
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 133650 NA 133650  133650   0 133650 133650     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 122.724920591123
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 113400 NA 113400  113400   0 113400 113400     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 126.162333204198
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 108750 NA 108750  108750   0 108750 108750     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 126.533945378585
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 109200 NA 109200  109200   0 109200 109200     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 127.370072770954
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 126300 NA 126300  126300   0 126300 126300     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 128.113297119727
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 109950 NA 109950  109950   0 109950 109950     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 128.670715381307
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 112650 NA 112650  112650   0 112650 112650     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 129.228133642886
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 106500 NA 106500  106500   0 106500 106500     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 129.41393973008
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 138150 NA 138150  138150   0 138150 138150     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 129.878454948063
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 119850 NA 119850  119850   0 119850 119850     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 130.250067122449
##    vars n   mean      sd median trimmed     mad    min    max range skew
## X1    1 2 120000 3181.98 120000  120000 3335.85 117750 122250  4500    0
##    kurtosis   se
## X1    -2.75 2250
## -------------------------------------------------------- 
## group: 130.435873209642
##    vars n  mean sd median trimmed mad   min   max range skew kurtosis se
## X1    1 1 99450 NA  99450   99450   0 99450 99450     0   NA       NA NA
## -------------------------------------------------------- 
## group: 130.621679296835
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 146400 NA 146400  146400   0 146400 146400     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 130.900388427625
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 121200 NA 121200  121200   0 121200 121200     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 132.293934081574
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 124650 24395.18 124650  124650 25574.85 107400 141900 34500    0
##    kurtosis    se
## X1    -2.75 17250
## -------------------------------------------------------- 
## group: 133.408770604734
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 137250 NA 137250  137250   0 137250 137250     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 133.687479735524
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 128700 NA 128700  128700   0 128700 128700     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 134.61651017149
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 102450 NA 102450  102450   0 102450 102450     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 135.638443651052
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 139950 NA 139950  139950   0 139950 139950     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 136.195861912632
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 123150 NA 123150  123150   0 123150 123150     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 137.124892348598
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 157200 NA 157200  157200   0 157200 157200     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 137.310698435791
##    vars n   mean      sd median trimmed      mad    min    max range skew
## X1    1 2 109425 10288.4 109425  109425 10785.91 102150 116700 14550    0
##    kurtosis   se
## X1    -2.75 7275
## -------------------------------------------------------- 
## group: 137.589407566581
##    vars n   mean     sd median trimmed    mad    min    max range skew
## X1    1 2 105000 848.53 105000  105000 889.56 104400 105600  1200    0
##    kurtosis  se
## X1    -2.75 600
## -------------------------------------------------------- 
## group: 137.961019740968
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 118200 NA 118200  118200   0 118200 118200     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 138.332631915354
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 129750 NA 129750  129750   0 129750 129750     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 138.425534958951
##    vars n   mean     sd median trimmed     mad    min    max range skew
## X1    1 2 112800 5939.7 112800  112800 6226.92 108600 117000  8400    0
##    kurtosis   se
## X1    -2.75 4200
## -------------------------------------------------------- 
## group: 138.518438002547
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 136500 NA 136500  136500   0 136500 136500     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 138.611341046144
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 108150 NA 108150  108150   0 108150 108150     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 139.26166235132
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 130050 NA 130050  130050   0 130050 130050     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 139.354565394917
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 119400 NA 119400  119400   0 119400 119400     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 139.447468438514
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 119850 NA 119850  119850   0 119850 119850     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 139.633274525707
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 106800 NA 106800  106800   0 106800 106800     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 140.283595830883
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 122250 NA 122250  122250   0 122250 122250     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 140.655208005269
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 112350 NA 112350  112350   0 112350 112350     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 140.748111048866
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 111900 NA 111900  111900   0 111900 111900     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 141.026820179656
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 106800 NA 106800  106800   0 106800 106800     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 141.584238441236
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 125100 NA 125100  125100   0 125100 125100     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 141.770044528429
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 126975 13894.65 126975  126975 14566.55 117150 136800 19650    0
##    kurtosis   se
## X1    -2.75 9825
## -------------------------------------------------------- 
## group: 141.862947572025
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 113700 NA 113700  113700   0 113700 113700     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 141.955850615622
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 110100 NA 110100  110100   0 110100 110100     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 142.048753659219
##    vars n   mean       sd median trimmed      mad    min    max range
## X1    1 3 121500 13625.25 125400  121500 10897.11 106350 132750 26400
##     skew kurtosis      se
## X1 -0.26    -2.33 7866.54
## -------------------------------------------------------- 
## group: 142.141656702815
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 128100 NA 128100  128100   0 128100 128100     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 142.234559746412
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 121350 NA 121350  121350   0 121350 121350     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 142.606171920798
##    vars n   mean      sd median trimmed     mad    min    max range skew
## X1    1 2 134400 3606.24 134400  134400 3780.63 131850 136950  5100    0
##    kurtosis   se
## X1    -2.75 2550
## -------------------------------------------------------- 
## group: 142.699074964395
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 145800 NA 145800  145800   0 145800 145800     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 142.791978007992
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 132900 NA 132900  132900   0 132900 132900     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 143.163590182378
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 150750 NA 150750  150750   0 150750 150750     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 143.442299313168
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 148200 NA 148200  148200   0 148200 148200     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 143.535202356764
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 101400 NA 101400  101400   0 101400 101400     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 143.999717574747
##    vars n   mean     sd median trimmed     mad    min    max range skew
## X1    1 2 132675 954.59 132675  132675 1000.75 132000 133350  1350    0
##    kurtosis  se
## X1    -2.75 675
## -------------------------------------------------------- 
## group: 144.092620618344
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 108900 NA 108900  108900   0 108900 108900     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 144.557135836327
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 145950 NA 145950  145950   0 145950 145950     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 146.786808882646
##    vars n   mean       sd median trimmed    mad    min    max range  skew
## X1    1 3 130250 13444.33 137250  130250 2223.9 114750 138750 24000 -0.38
##    kurtosis      se
## X1    -2.33 7762.09
## -------------------------------------------------------- 
## group: 147.530033231419
##    vars n   mean      sd median trimmed     mad    min    max range skew
## X1    1 2 129450 3394.11 129450  129450 3558.24 127050 131850  4800    0
##    kurtosis   se
## X1    -2.75 2400
## -------------------------------------------------------- 
## group: 147.622936275015
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 108450 NA 108450  108450   0 108450 108450     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 148.273257580192
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 142800 NA 142800  142800   0 142800 142800     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 148.459063667385
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 136425 12197.59 136425  136425 12787.42 127800 145050 17250    0
##    kurtosis   se
## X1    -2.75 8625
## -------------------------------------------------------- 
## group: 148.644869754578
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 114450 NA 114450  114450   0 114450 114450     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 148.830675841771
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 131850 NA 131850  131850   0 131850 131850     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 149.016481928964
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 146250 NA 146250  146250   0 146250 146250     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 149.109384972561
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 138750 NA 138750  138750   0 138750 138750     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 149.295191059754
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 151500 NA 151500  151500   0 151500 151500     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 149.388094103351
##    vars n   mean       sd median trimmed     mad    min    max range skew
## X1    1 2 134325 34047.19 134325  134325 35693.6 110250 158400 48150    0
##    kurtosis    se
## X1    -2.75 24075
## -------------------------------------------------------- 
## group: 149.573900190544
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 148800 NA 148800  148800   0 148800 148800     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 149.666803234141
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 116850 NA 116850  116850   0 116850 116850     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 149.759706277737
##    vars n  mean sd median trimmed mad   min   max range skew kurtosis se
## X1    1 1 99000 NA  99000   99000   0 99000 99000     0   NA       NA NA
## -------------------------------------------------------- 
## group: 149.945512364931
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 149250 11455.13 149250  149250 12009.06 141150 157350 16200    0
##    kurtosis   se
## X1    -2.75 8100
## -------------------------------------------------------- 
## group: 150.22422149572
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 158250 NA 158250  158250   0 158250 158250     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 151.06034888809
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 108900 NA 108900  108900   0 108900 108900     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 151.246154975283
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 142800 NA 142800  142800   0 142800 142800     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 151.33905801888
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 117300 NA 117300  117300   0 117300 117300     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 151.61776714967
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 132750 NA 132750  132750   0 132750 132750     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 151.803573236863
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 120900 14424.98 120900  120900 15122.52 110700 131100 20400    0
##    kurtosis    se
## X1    -2.75 10200
## -------------------------------------------------------- 
## group: 151.896476280459
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 135000 NA 135000  135000   0 135000 135000     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 152.175185411249
##    vars n   mean       sd median trimmed      mad    min    max range
## X1    1 3 133100 19886.36 138750  133100 16012.08 111000 149550 38550
##     skew kurtosis      se
## X1 -0.26    -2.33 11481.4
## -------------------------------------------------------- 
## group: 152.453894542039
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 159600 NA 159600  159600   0 159600 159600     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 152.546797585636
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 148050 NA 148050  148050   0 148050 148050     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 152.732603672829
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 138150 NA 138150  138150   0 138150 138150     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 152.825506716426
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 137250 NA 137250  137250   0 137250 137250     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 153.475828021602
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 108300 NA 108300  108300   0 108300 108300     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 153.568731065198
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 151650 NA 151650  151650   0 151650 151650     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 153.661634108795
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 107400 NA 107400  107400   0 107400 107400     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 153.847440195988
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 126600 NA 126600  126600   0 126600 126600     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 154.033246283181
##    vars n   mean     sd median trimmed    mad    min    max range skew
## X1    1 2 119475 6257.9 119475  119475 6560.5 115050 123900  8850    0
##    kurtosis   se
## X1    -2.75 4425
## -------------------------------------------------------- 
## group: 154.126149326778
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 137850 23122.39 137850  137850 24240.51 121500 154200 32700    0
##    kurtosis    se
## X1    -2.75 16350
## -------------------------------------------------------- 
## group: 154.404858457568
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 134400 NA 134400  134400   0 134400 134400     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 154.590664544761
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 108600 NA 108600  108600   0 108600 108600     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 154.869373675551
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 108000 NA 108000  108000   0 108000 108000     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 154.962276719148
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 115800 NA 115800  115800   0 115800 115800     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 155.240985849937
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 143700 NA 143700  143700   0 143700 143700     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 155.519694980727
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 131700 NA 131700  131700   0 131700 131700     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 155.798404111517
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 140550 NA 140550  140550   0 140550 140550     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 155.98421019871
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 114600 NA 114600  114600   0 114600 114600     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 156.2629193295
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 102000 NA 102000  102000   0 102000 102000     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 156.355822373097
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 107400 NA 107400  107400   0 107400 107400     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 156.54162846029
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 124650 NA 124650  124650   0 124650 124650     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 156.727434547483
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 153900 NA 153900  153900   0 153900 153900     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 156.82033759108
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 144750 NA 144750  144750   0 144750 144750     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 156.913240634676
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 129900 37547.37 129900  129900 39363.03 103350 156450 53100    0
##    kurtosis    se
## X1    -2.75 26550
## -------------------------------------------------------- 
## group: 157.006143678273
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 126375 20895.01 126375  126375 21905.41 111600 141150 29550    0
##    kurtosis    se
## X1    -2.75 14775
## -------------------------------------------------------- 
## group: 157.191949765466
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 122550 NA 122550  122550   0 122550 122550     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 157.37775585266
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 134550 NA 134550  134550   0 134550 134550     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 157.656464983449
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 124650 NA 124650  124650   0 124650 124650     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 158.028077157836
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 157650 NA 157650  157650   0 157650 157650     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 158.213883245029
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 130650 28001.43 130650  130650 29355.48 110850 150450 39600    0
##    kurtosis    se
## X1    -2.75 19800
## -------------------------------------------------------- 
## group: 158.399689332222
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 140100 19728.28 140100  140100 20682.27 126150 154050 27900    0
##    kurtosis    se
## X1    -2.75 13950
## -------------------------------------------------------- 
## group: 158.585495419415
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 154050 NA 154050  154050   0 154050 154050     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 158.864204550205
##    vars n   mean      sd median trimmed      mad    min    max range skew
## X1    1 2 126675 16228.1 126675  126675 17012.83 115200 138150 22950    0
##    kurtosis    se
## X1    -2.75 11475
## -------------------------------------------------------- 
## group: 159.050010637399
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 141600 NA 141600  141600   0 141600 141600     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 159.142913680995
##    vars n   mean      sd median trimmed     mad    min    max range skew
## X1    1 2 117375 3075.91 117375  117375 3224.65 115200 119550  4350    0
##    kurtosis   se
## X1    -2.75 2175
## -------------------------------------------------------- 
## group: 159.607428898978
##    vars n   mean       sd median trimmed     mad    min    max range  skew
## X1    1 3 115650 11211.94 118800  115650 9117.99 103200 124950 21750 -0.26
##    kurtosis      se
## X1    -2.33 6473.21
## -------------------------------------------------------- 
## group: 159.700331942575
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 129900 NA 129900  129900   0 129900 129900     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 159.793234986171
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 118350 NA 118350  118350   0 118350 118350     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 160.071944116961
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 151650 NA 151650  151650   0 151650 151650     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 160.164847160558
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 150900 16334.17 150900  150900 17124.03 139350 162450 23100    0
##    kurtosis    se
## X1    -2.75 11550
## -------------------------------------------------------- 
## group: 160.257750204154
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 118800 NA 118800  118800   0 118800 118800     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 160.443556291348
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 110850 NA 110850  110850   0 110850 110850     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 160.722265422137
##    vars n   mean      sd median trimmed     mad    min    max range skew
## X1    1 2 152100 2333.45 152100  152100 2446.29 150450 153750  3300    0
##    kurtosis   se
## X1    -2.75 1650
## -------------------------------------------------------- 
## group: 161.093877596524
##    vars n   mean      sd median trimmed     mad    min    max range skew
## X1    1 2 156375 1166.73 156375  156375 1223.14 155550 157200  1650    0
##    kurtosis  se
## X1    -2.75 825
## -------------------------------------------------------- 
## group: 161.279683683717
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 120750 NA 120750  120750   0 120750 120750     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 161.372586727314
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 115950 NA 115950  115950   0 115950 115950     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 161.46548977091
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 136875 28319.63 136875  136875 29689.06 116850 156900 40050    0
##    kurtosis    se
## X1    -2.75 20025
## -------------------------------------------------------- 
## group: 161.558392814507
##    vars n   mean     sd median trimmed    mad    min    max range skew
## X1    1 2 128025 6257.9 128025  128025 6560.5 123600 132450  8850    0
##    kurtosis   se
## X1    -2.75 4425
## -------------------------------------------------------- 
## group: 161.930004988893
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 162900 NA 162900  162900   0 162900 162900     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 162.02290803249
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 120450 NA 120450  120450   0 120450 120450     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 162.208714119683
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 151200 NA 151200  151200   0 151200 151200     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 162.30161716328
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 113700 NA 113700  113700   0 113700 113700     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 162.394520206877
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 105750 NA 105750  105750   0 105750 105750     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 162.487423250473
##    vars n   mean       sd median trimmed     mad    min    max range skew
## X1    1 3 123050 20119.21 112500  123050 3113.46 110400 146250 35850 0.38
##    kurtosis       se
## X1    -2.33 11615.83
## -------------------------------------------------------- 
## group: 162.85903542486
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 117750 NA 117750  117750   0 117750 117750     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 162.951938468456
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 123300 NA 123300  123300   0 123300 123300     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 163.323550642843
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 151050 15061.37 151050  151050 15789.69 140400 161700 21300    0
##    kurtosis    se
## X1    -2.75 10650
## -------------------------------------------------------- 
## group: 163.695162817229
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 112200 NA 112200  112200   0 112200 112200     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 163.973871948019
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 152250 NA 152250  152250   0 152250 152250     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 164.066774991616
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 135600 NA 135600  135600   0 135600 135600     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 164.159678035212
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 156900 NA 156900  156900   0 156900 156900     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 164.438387166002
##    vars n   mean       sd median trimmed      mad    min    max range
## X1    1 3 127000 24303.86 127500  127000 34915.23 102450 151050 48600
##     skew kurtosis       se
## X1 -0.02    -2.33 14031.84
## -------------------------------------------------------- 
## group: 164.624193253195
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 126150 NA 126150  126150   0 126150 126150     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 164.809999340388
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 168000 NA 168000  168000   0 168000 168000     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 164.902902383985
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 128325 29168.15 128325  128325 30578.62 107700 148950 41250    0
##    kurtosis    se
## X1    -2.75 20625
## -------------------------------------------------------- 
## group: 165.088708471178
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 129900 NA 129900  129900   0 129900 129900     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 165.367417601968
##    vars n   mean      sd median trimmed     mad    min    max range skew
## X1    1 2 122625 7530.69 122625  122625 7894.84 117300 127950 10650    0
##    kurtosis   se
## X1    -2.75 5325
## -------------------------------------------------------- 
## group: 165.646126732758
##    vars n   mean     sd median trimmed    mad    min    max range skew
## X1    1 2 119775 6257.9 119775  119775 6560.5 115350 124200  8850    0
##    kurtosis   se
## X1    -2.75 4425
## -------------------------------------------------------- 
## group: 165.739029776355
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 150450 NA 150450  150450   0 150450 150450     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 165.831932819951
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 158100 NA 158100  158100   0 158100 158100     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 165.924835863548
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 149100 NA 149100  149100   0 149100 149100     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 166.110641950741
##    vars n   mean      sd median trimmed      mad    min    max range skew
## X1    1 2 133950 9545.94 133950  133950 10007.55 127200 140700 13500    0
##    kurtosis   se
## X1    -2.75 6750
## -------------------------------------------------------- 
## group: 166.203544994338
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 150150 NA 150150  150150   0 150150 150150     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 166.575157168724
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 126900 NA 126900  126900   0 126900 126900     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 166.853866299514
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 102300 NA 102300  102300   0 102300 102300     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 167.132575430304
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 117600 NA 117600  117600   0 117600 117600     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 167.2254784739
##    vars n   mean       sd median trimmed     mad    min    max range skew
## X1    1 3 134800 16501.59 127050  134800 5114.97 123600 153750 30150 0.37
##    kurtosis     se
## X1    -2.33 9527.2
## -------------------------------------------------------- 
## group: 167.318381517497
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 124350 NA 124350  124350   0 124350 124350     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 167.597090648287
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 144150 NA 144150  144150   0 144150 144150     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 167.78289673548
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 121500 NA 121500  121500   0 121500 121500     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 167.968702822673
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 128400 NA 128400  128400   0 128400 128400     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 168.06160586627
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 159825 14106.78 159825  159825 14788.93 149850 169800 19950    0
##    kurtosis   se
## X1    -2.75 9975
## -------------------------------------------------------- 
## group: 168.154508909866
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 130575 23016.33 130575  130575 24129.31 114300 146850 32550    0
##    kurtosis    se
## X1    -2.75 16275
## -------------------------------------------------------- 
## group: 168.247411953463
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 152850 11455.13 152850  152850 12009.06 144750 160950 16200    0
##    kurtosis   se
## X1    -2.75 8100
## -------------------------------------------------------- 
## group: 168.34031499706
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 133125 24289.12 133125  133125 25463.65 115950 150300 34350    0
##    kurtosis    se
## X1    -2.75 17175
## -------------------------------------------------------- 
## group: 168.433218040656
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 142050 34153.26 142050  142050 35804.79 117900 166200 48300    0
##    kurtosis    se
## X1    -2.75 24150
## -------------------------------------------------------- 
## group: 168.526121084253
##    vars n   mean       sd median trimmed     mad    min    max range  skew
## X1    1 3 145800 10421.49 148650  145800 8673.21 134250 154500 20250 -0.25
##    kurtosis      se
## X1    -2.33 6016.85
## -------------------------------------------------------- 
## group: 168.711927171446
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 160950 NA 160950  160950   0 160950 160950     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 168.804830215043
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 161700 NA 161700  161700   0 161700 161700     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 168.897733258639
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 151950 NA 151950  151950   0 151950 151950     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 168.990636302236
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 135000 NA 135000  135000   0 135000 135000     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 169.176442389429
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 123300 NA 123300  123300   0 123300 123300     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 169.269345433026
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 137625 42956.74 137625  137625 45033.97 107250 168000 60750    0
##    kurtosis    se
## X1    -2.75 30375
## -------------------------------------------------------- 
## group: 169.362248476622
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 142500 NA 142500  142500   0 142500 142500     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 169.455151520219
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 120600 NA 120600  120600   0 120600 120600     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 169.548054563816
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 139200 NA 139200  139200   0 139200 139200     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 169.826763694605
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 152550 NA 152550  152550   0 152550 152550     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 170.198375868992
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 138600 NA 138600  138600   0 138600 138600     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 170.569988043378
##    vars n   mean      sd median trimmed     mad    min    max range skew
## X1    1 2 153300 5515.43 153300  153300 5782.14 149400 157200  7800    0
##    kurtosis   se
## X1    -2.75 3900
## -------------------------------------------------------- 
## group: 170.662891086975
##    vars n   mean      sd median trimmed     mad    min    max range skew
## X1    1 2 127725 7106.42 127725  127725 7450.06 122700 132750 10050    0
##    kurtosis   se
## X1    -2.75 5025
## -------------------------------------------------------- 
## group: 170.755794130572
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 149325 24501.25 149325  149325 25686.04 132000 166650 34650    0
##    kurtosis    se
## X1    -2.75 17325
## -------------------------------------------------------- 
## group: 171.127406304958
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 156150 NA 156150  156150   0 156150 156150     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 171.499018479344
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 145950 NA 145950  145950   0 145950 145950     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 171.684824566538
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 142500 32880.47 142500  142500 34470.45 119250 165750 46500    0
##    kurtosis    se
## X1    -2.75 23250
## -------------------------------------------------------- 
## group: 171.870630653731
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 136350 NA 136350  136350   0 136350 136350     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 172.056436740924
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 120900 NA 120900  120900   0 120900 120900     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 172.242242828117
##    vars n   mean      sd median trimmed      mad    min    max range skew
## X1    1 2 151200 9970.21 151200  151200 10452.33 144150 158250 14100    0
##    kurtosis   se
## X1    -2.75 7050
## -------------------------------------------------------- 
## group: 172.520951958907
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 108000 NA 108000  108000   0 108000 108000     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 172.98546717689
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 158550 NA 158550  158550   0 158550 158550     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 173.078370220487
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 168750 NA 168750  168750   0 168750 168750     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 173.54288543847
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 172950 NA 172950  172950   0 172950 172950     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 173.914497612856
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 160500 NA 160500  160500   0 160500 160500     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 174.286109787243
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 141900 NA 141900  141900   0 141900 141900     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 174.379012830839
##    vars n   mean       sd median trimmed      mad    min    max range
## X1    1 3 149000 22946.24 154200  149000 21794.22 123900 168900 45000
##     skew kurtosis       se
## X1 -0.21    -2.33 13248.02
## -------------------------------------------------------- 
## group: 174.750625005226
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 158100 NA 158100  158100   0 158100 158100     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 175.029334136016
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 117600 NA 117600  117600   0 117600 117600     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 175.122237179612
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 127650 NA 127650  127650   0 127650 127650     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 175.679655441192
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 125850 NA 125850  125850   0 125850 125850     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 175.958364571982
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 145050 NA 145050  145050   0 145050 145050     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 176.144170659175
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 152850 44123.46 152850  152850 46257.12 121650 184050 62400    0
##    kurtosis    se
## X1    -2.75 31200
## -------------------------------------------------------- 
## group: 176.237073702772
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 114750 NA 114750  114750   0 114750 114750     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 176.329976746368
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 117900 NA 117900  117900   0 117900 117900     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 176.422879789965
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 165150 NA 165150  165150   0 165150 165150     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 176.980298051544
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 137400 NA 137400  137400   0 137400 137400     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 177.166104138738
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 115350 NA 115350  115350   0 115350 115350     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 177.723522400317
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 130200 NA 130200  130200   0 130200 130200     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 177.909328487511
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 121350 NA 121350  121350   0 121350 121350     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 178.280940661897
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 103800 NA 103800  103800   0 103800 103800     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 178.373843705494
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 133950 NA 133950  133950   0 133950 133950     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 178.46674674909
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 149775 43805.27 149775  149775 45923.53 118800 180750 61950    0
##    kurtosis    se
## X1    -2.75 30975
## -------------------------------------------------------- 
## group: 179.30287414146
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 150750 NA 150750  150750   0 150750 150750     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 179.488680228653
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 129450 NA 129450  129450   0 129450 129450     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 179.674486315846
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 127950 NA 127950  127950   0 127950 127950     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 180.046098490233
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 178050 NA 178050  178050   0 178050 178050     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 180.324807621022
##    vars n   mean      sd median trimmed     mad    min    max range skew
## X1    1 2 116925 7106.42 116925  116925 7450.06 111900 121950 10050    0
##    kurtosis   se
## X1    -2.75 5025
## -------------------------------------------------------- 
## group: 180.417710664619
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 119100 NA 119100  119100   0 119100 119100     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 180.696419795409
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 144900 NA 144900  144900   0 144900 144900     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 180.789322839006
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 125850 NA 125850  125850   0 125850 125850     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 180.975128926199
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 124350 NA 124350  124350   0 124350 124350     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 181.068031969795
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 117450 NA 117450  117450   0 117450 117450     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 181.160935013392
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 138600 NA 138600  138600   0 138600 138600     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 181.253838056989
##    vars n   mean      sd median trimmed     mad    min    max range skew
## X1    1 2 168675 5197.23 168675  168675 5448.55 165000 172350  7350    0
##    kurtosis   se
## X1    -2.75 3675
## -------------------------------------------------------- 
## group: 181.346741100585
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 166500 NA 166500  166500   0 166500 166500     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 181.532547187778
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 145800 NA 145800  145800   0 145800 145800     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 181.625450231375
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 132300 NA 132300  132300   0 132300 132300     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 181.997062405761
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 132450 NA 132450  132450   0 132450 132450     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 182.275771536551
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 135750 NA 135750  135750   0 135750 135750     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 182.368674580148
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 124950 NA 124950  124950   0 124950 124950     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 182.461577623745
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 180000 NA 180000  180000   0 180000 180000     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 182.554480667341
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 114450 NA 114450  114450   0 114450 114450     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 182.740286754534
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 127800 NA 127800  127800   0 127800 127800     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 183.018995885324
##    vars n   mean     sd median trimmed     mad    min    max range skew
## X1    1 2 163275 5621.5 163275  163275 5893.34 159300 167250  7950    0
##    kurtosis   se
## X1    -2.75 3975
## -------------------------------------------------------- 
## group: 183.297705016114
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 133650 NA 133650  133650   0 133650 133650     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 183.483511103307
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 122100 NA 122100  122100   0 122100 122100     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 183.762220234097
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 122400 NA 122400  122400   0 122400 122400     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 183.855123277694
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 148050 NA 148050  148050   0 148050 148050     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 184.22673545208
##    vars n   mean      sd median trimmed     mad    min    max range skew
## X1    1 2 130425 1378.86 130425  130425 1445.53 129450 131400  1950    0
##    kurtosis  se
## X1    -2.75 975
## -------------------------------------------------------- 
## group: 184.877056757256
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 120150 NA 120150  120150   0 120150 120150     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 185.806087193223
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 158100 NA 158100  158100   0 158100 158100     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 186.270602411206
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 158100 NA 158100  158100   0 158100 158100     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 186.549311541995
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 169500 NA 169500  169500   0 169500 169500     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 186.642214585592
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 157650 NA 157650  157650   0 157650 157650     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 186.735117629189
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 140550 NA 140550  140550   0 140550 140550     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 186.828020672785
##    vars n   mean      sd median trimmed     mad    min    max range skew
## X1    1 2 120525 5197.23 120525  120525 5448.55 116850 124200  7350    0
##    kurtosis   se
## X1    -2.75 3675
## -------------------------------------------------------- 
## group: 186.920923716382
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 138450 NA 138450  138450   0 138450 138450     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 187.385438934365
##    vars n   mean     sd median trimmed    mad    min    max range skew
## X1    1 2 123000 424.26 123000  123000 444.78 122700 123300   600    0
##    kurtosis  se
## X1    -2.75 300
## -------------------------------------------------------- 
## group: 187.478341977962
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 121200 NA 121200  121200   0 121200 121200     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 187.571245021558
##    vars n   mean      sd median trimmed     mad    min    max range skew
## X1    1 2 170850 8697.41 170850  170850 9117.99 164700 177000 12300    0
##    kurtosis   se
## X1    -2.75 6150
## -------------------------------------------------------- 
## group: 187.757051108751
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 135450 NA 135450  135450   0 135450 135450     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 188.035760239541
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 178050 NA 178050  178050   0 178050 178050     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 188.128663283138
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 128400 NA 128400  128400   0 128400 128400     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 188.871887631911
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 177900 NA 177900  177900   0 177900 177900     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 189.057693719104
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 139050 29062.09 139050  139050 30467.43 118500 159600 41100    0
##    kurtosis    se
## X1    -2.75 20550
## -------------------------------------------------------- 
## group: 189.150596762701
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 181050 NA 181050  181050   0 181050 181050     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 189.336402849894
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 140400 NA 140400  140400   0 140400 140400     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 189.522208937087
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 133350 NA 133350  133350   0 133350 133350     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 189.615111980684
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 165450 NA 165450  165450   0 165450 165450     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 189.70801502428
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 174150 NA 174150  174150   0 174150 174150     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 190.079627198667
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 155550 NA 155550  155550   0 155550 155550     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 190.358336329457
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 139050 NA 139050  139050   0 139050 139050     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 190.451239373053
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 129450 NA 129450  129450   0 129450 129450     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 190.637045460246
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 163350 NA 163350  163350   0 163350 163350     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 191.008657634633
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 171000 NA 171000  171000   0 171000 171000     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 191.101560678229
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 176250 NA 176250  176250   0 176250 176250     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 191.194463721826
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 159600 NA 159600  159600   0 159600 159600     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 191.380269809019
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 166500 NA 166500  166500   0 166500 166500     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 191.658978939809
##    vars n   mean       sd median trimmed     mad    min    max range  skew
## X1    1 3 153100 33035.89 168300  153100 11119.5 115200 175800 60600 -0.36
##    kurtosis       se
## X1    -2.33 19073.28
## -------------------------------------------------------- 
## group: 192.123494157792
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 166650 NA 166650  166650   0 166650 166650     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 192.402203288582
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 133500 NA 133500  133500   0 133500 133500     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 192.495106332179
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 121350 NA 121350  121350   0 121350 121350     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 192.866718506565
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 173400 NA 173400  173400   0 173400 173400     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 192.959621550162
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 150750 NA 150750  150750   0 150750 150750     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 193.145427637355
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 128700 NA 128700  128700   0 128700 128700     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 193.238330680951
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 134100 NA 134100  134100   0 134100 134100     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 193.795748942531
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 157500 22061.73 157500  157500 23128.56 141900 173100 31200    0
##    kurtosis    se
## X1    -2.75 15600
## -------------------------------------------------------- 
## group: 193.981555029724
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 185850 NA 185850  185850   0 185850 185850     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 194.074458073321
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 179550 NA 179550  179550   0 179550 179550     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 194.260264160514
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 176550 NA 176550  176550   0 176550 176550     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 194.353167204111
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 139050 NA 139050  139050   0 139050 139050     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 194.446070247707
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 152400 NA 152400  152400   0 152400 152400     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 195.096391552884
##    vars n   mean      sd median trimmed     mad    min    max range skew
## X1    1 3 132950 4480.79 131400  132950 2891.07 129450 138000  8550  0.3
##    kurtosis      se
## X1    -2.33 2586.99
## -------------------------------------------------------- 
## group: 195.18929459648
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 145350 NA 145350  145350   0 145350 145350     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 195.653809814463
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 138150 NA 138150  138150   0 138150 138150     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 195.74671285806
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 124800 NA 124800  124800   0 124800 124800     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 196.118325032446
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 3 143200 21894.01 136350  143200 16012.08 125550 167700 42150 0.28
##    kurtosis       se
## X1    -2.33 12640.51
## -------------------------------------------------------- 
## group: 196.397034163236
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 170400 NA 170400  170400   0 170400 170400     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 196.582840250429
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 180150 NA 180150  180150   0 180150 180150     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 196.675743294026
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 183750 NA 183750  183750   0 183750 183750     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 196.954452424816
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 139950 NA 139950  139950   0 139950 139950     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 197.233161555606
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 125550 NA 125550  125550   0 125550 125550     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 197.418967642799
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 178050 NA 178050  178050   0 178050 178050     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 198.255095035168
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 154800 NA 154800  154800   0 154800 154800     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 198.440901122362
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 171150 NA 171150  171150   0 171150 171150     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 198.719610253152
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 132900 NA 132900  132900   0 132900 132900     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 199.184125471135
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 171150 NA 171150  171150   0 171150 171150     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 199.462834601924
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 131400 NA 131400  131400   0 131400 131400     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 199.834446776311
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 178500 NA 178500  178500   0 178500 178500     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 199.927349819907
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 140400 NA 140400  140400   0 140400 140400     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 200.113155907101
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 153000 NA 153000  153000   0 153000 153000     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 200.856380255874
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 158400 NA 158400  158400   0 158400 158400     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 201.878313735436
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 154350 30547.01 154350  154350 32024.16 132750 175950 43200    0
##    kurtosis    se
## X1    -2.75 21600
## -------------------------------------------------------- 
## group: 202.157022866226
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 166950 NA 166950  166950   0 166950 166950     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 202.435731997016
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 152250 NA 152250  152250   0 152250 152250     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 202.528635040613
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 151950 NA 151950  151950   0 151950 151950     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 202.621538084209
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 173100 NA 173100  173100   0 173100 173100     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 203.086053302192
##    vars n   mean       sd median trimmed      mad    min    max range skew
## X1    1 2 158925 39986.89 158925  158925 41920.51 130650 187200 56550    0
##    kurtosis    se
## X1    -2.75 28275
## -------------------------------------------------------- 
## group: 203.457665476579
##    vars n   mean       sd median trimmed     mad    min    max range skew
## X1    1 3 144950 26635.17 132750  144950 9117.99 126600 175500 48900 0.36
##    kurtosis       se
## X1    -2.33 15377.82
## -------------------------------------------------------- 
## group: 204.386695912545
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 152550 NA 152550  152550   0 152550 152550     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 205.129920261318
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 145200 NA 145200  145200   0 145200 145200     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 205.222823304914
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 184650 NA 184650  184650   0 184650 184650     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 205.315726348511
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 169350 NA 169350  169350   0 169350 169350     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 205.594435479301
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 179700 NA 179700  179700   0 179700 179700     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 205.780241566494
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 160500 NA 160500  160500   0 160500 160500     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 206.058950697284
##    vars n   mean      sd median trimmed     mad    min    max range skew
## X1    1 2 175125 3288.05 175125  175125 3447.04 172800 177450  4650    0
##    kurtosis   se
## X1    -2.75 2325
## -------------------------------------------------------- 
## group: 206.15185374088
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 146250 NA 146250  146250   0 146250 146250     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 206.244756784477
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 140250 NA 140250  140250   0 140250 140250     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 206.98798113325
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 175350 NA 175350  175350   0 175350 175350     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 207.26669026404
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 145500 NA 145500  145500   0 145500 145500     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 208.102817656409
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 159000 NA 159000  159000   0 159000 159000     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 208.474429830796
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 187200 NA 187200  187200   0 187200 187200     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 208.846042005182
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 178500 NA 178500  178500   0 178500 178500     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 209.310557223165
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 145200 NA 145200  145200   0 145200 145200     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 209.403460266762
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 181500 NA 181500  181500   0 181500 181500     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 209.682169397552
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 160800 NA 160800  160800   0 160800 160800     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 209.775072441148
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 150750 NA 150750  150750   0 150750 150750     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 210.053781571938
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 190650 NA 190650  190650   0 190650 190650     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 210.146684615535
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 144300 NA 144300  144300   0 144300 144300     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 210.239587659131
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 153300 NA 153300  153300   0 153300 153300     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 210.332490702728
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 181800 NA 181800  181800   0 181800 181800     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 210.425393746325
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 146400 NA 146400  146400   0 146400 146400     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 210.518296789921
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 153150 NA 153150  153150   0 153150 153150     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 210.611199833518
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 149850 NA 149850  149850   0 149850 149850     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 210.982812007904
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 179850 NA 179850  179850   0 179850 179850     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 212.004745487467
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 139350 NA 139350  139350   0 139350 139350     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 212.46926070545
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 131700 NA 131700  131700   0 131700 131700     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 212.74796983624
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 178350 NA 178350  178350   0 178350 178350     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 212.933775923433
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 158850 NA 158850  158850   0 158850 158850     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 213.491194185013
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 183000 NA 183000  183000   0 183000 183000     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 213.955709402996
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 162150 NA 162150  162150   0 162150 162150     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 214.327321577382
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 145800 NA 145800  145800   0 145800 145800     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 215.163448969752
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 147750 NA 147750  147750   0 147750 147750     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 216.092479405718
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 153750 NA 153750  153750   0 153750 153750     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 216.464091580104
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 183600 NA 183600  183600   0 183600 183600     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 217.021509841684
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 152550 NA 152550  152550   0 152550 152550     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 217.486025059667
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 171300 NA 171300  171300   0 171300 171300     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 217.578928103264
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 187500 NA 187500  187500   0 187500 187500     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 218.693764626423
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 158850 NA 158850  158850   0 158850 158850     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 219.436988975196
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 156450 NA 156450  156450   0 156450 156450     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 220.551825498355
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 170250 NA 170250  170250   0 170250 170250     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 220.644728541952
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 157200 NA 157200  157200   0 157200 157200     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 221.480855934321
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 143850 NA 143850  143850   0 143850 143850     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 221.573758977918
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 137550 NA 137550  137550   0 137550 137550     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 222.409886370287
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 165750 NA 165750  165750   0 165750 165750     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 222.781498544674
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 157500 NA 157500  157500   0 157500 157500     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 223.338916806254
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 150450 NA 150450  150450   0 150450 150450     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 224.732462460203
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 162450 NA 162450  162450   0 162450 162450     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 226.404717244942
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 150300 NA 150300  150300   0 150300 150300     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 226.497620288538
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 146250 NA 146250  146250   0 146250 146250     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 227.519553768101
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 158550 NA 158550  158550   0 158550 158550     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 227.891165942487
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 159600 NA 159600  159600   0 159600 159600     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 231.793093773545
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 184800 NA 184800  184800   0 184800 184800     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 232.257608991528
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 151200 NA 151200  151200   0 151200 151200     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 233.558251601881
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 165600 NA 165600  165600   0 165600 165600     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 234.022766819864
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 174150 NA 174150  174150   0 174150 174150     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 234.95179725583
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 146700 NA 146700  146700   0 146700 146700     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 236.809858127762
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 154050 NA 154050  154050   0 154050 154050     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 238.760822043291
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 173850 NA 173850  173850   0 173850 173850     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 239.132434217677
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 173550 NA 173550  173550   0 173550 173550     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 240.43307682803
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 168000 NA 168000  168000   0 168000 168000     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 241.733719438383
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 163800 NA 163800  163800   0 163800 163800     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 249.816284231288
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 154950 NA 154950  154950   0 154950 154950     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 253.811115105942
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 177750 NA 177750  177750   0 177750 177750     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 256.133691195857
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 174300 NA 174300  174300   0 174300 174300     0   NA       NA
##    se
## X1 NA
## -------------------------------------------------------- 
## group: 266.817541209468
##    vars n   mean sd median trimmed mad    min    max range skew kurtosis
## X1    1 1 172200 NA 172200  172200   0 172200 172200     0   NA       NA
##    se
## X1 NA

Preços x Numero de Quartos:

boxplot(casoeaston$Preço~casoeaston$Quartos,
     col = c('powderblue'),
     main = 'Preço x Numero de Quartos',
     xlab = 'Quartos', ylab = 'Preço')

describeBy(casoeaston$Preço, casoeaston$Quartos)
## 
##  Descriptive statistics by group 
## group: 2
##    vars  n     mean       sd median  trimmed      mad   min    max range
## X1    1 60 122977.5 18361.31 117975 120715.6 16123.27 99450 178050 78600
##    skew kurtosis      se
## X1 0.98     0.23 2370.43
## -------------------------------------------------------- 
## group: 3
##    vars   n     mean       sd median  trimmed      mad   min    max range
## X1    1 290 140163.6 21055.43 138750 139666.8 23128.56 99000 187500 88500
##    skew kurtosis      se
## X1 0.17    -0.88 1236.42
## -------------------------------------------------------- 
## group: 4
##    vars   n     mean       sd median  trimmed      mad    min    max range
## X1    1 111 149009.5 21531.95 146400 148833.7 28465.92 107700 190650 82950
##    skew kurtosis      se
## X1 0.07    -1.12 2043.72

Preços x Área:

boxplot(casoeaston$Preço~casoeaston$Localização,
     col = c('powderblue'),
     main = 'Preço x Área',
     xlab = 'Área', ylab = 'Preço')

describeBy(casoeaston$Preço, casoeaston$Localização)
## 
##  Descriptive statistics by group 
## group: 1
##    vars   n     mean       sd median  trimmed      mad    min    max range
## X1    1 217 152362.7 19618.77 152550 153120.9 21349.44 101550 190650 89100
##     skew kurtosis      se
## X1 -0.28    -0.53 1331.81
## -------------------------------------------------------- 
## group: 2
##    vars   n     mean      sd median  trimmed      mad   min    max range
## X1    1 147 129485.7 19261.3 124350 127995.4 18013.59 99000 184800 85800
##    skew kurtosis      se
## X1 0.67    -0.36 1588.65
## -------------------------------------------------------- 
## group: 3
##    vars  n     mean       sd median trimmed     mad   min    max range
## X1    1 97 128546.9 16448.43 125850  127388 15567.3 99450 177750 78300
##    skew kurtosis      se
## X1 0.69     0.16 1670.08

Preços x Mês:

boxplot(casoeaston$Preço~casoeaston$Mês,
        col = c('powderblue'),
        main = 'Preço x Mês da Venda',
        xlab = 'Mês', ylab = 'Preço')

describeBy(casoeaston$Preço, casoeaston$Mês)
## 
##  Descriptive statistics by group 
## group: 3
##    vars   n     mean       sd median  trimmed      mad   min    max range
## X1    1 126 146739.3 22362.28 148500 146669.1 27687.55 99450 190650 91200
##    skew kurtosis      se
## X1 0.01    -1.04 1992.19
## -------------------------------------------------------- 
## group: 4
##    vars   n     mean       sd median  trimmed      mad    min    max range
## X1    1 118 143103.8 21212.41 144675 142589.1 25241.26 100050 187500 87450
##    skew kurtosis      se
## X1 0.11    -0.93 1952.76
## -------------------------------------------------------- 
## group: 5
##    vars   n     mean       sd median  trimmed      mad    min    max range
## X1    1 114 136782.9 22152.39 133575 135847.8 23684.53 102000 179550 77550
##    skew kurtosis      se
## X1 0.32    -0.98 2074.76
## -------------------------------------------------------- 
## group: 6
##    vars   n     mean       sd median  trimmed      mad   min    max range
## X1    1 103 132014.6 19852.77 131100 130948.2 22461.39 99000 181500 82500
##    skew kurtosis      se
## X1 0.43    -0.58 1956.15

Preços x Idade:

boxplot(casoeaston$Preço~casoeaston$Idade,
        col = c('powderblue'),
        main = 'Preço x Idade',
        xlab = 'Idade', ylab = 'Preço')

Análise da venda de cada casa:

1ª Casa:

Fica localizada em Arlington, tem 4 anos, possui 203 m², 3 quartos e foi vendida por 88.500 dólares.

Logo, com tais dados recolhidos através dos gráficos, médias, medianas e desvio padrão é possível realizar uma comparação. Tais comparações nos mostraram que o preço das casas em Arlington são mais baixos em relação a Dallas e Fort Worth. Em relação a área vemos que uma casa com aproximadamente 203 m² fica na média do valor de R$158.925, ou seja, acima do que foi vendida. Com o gráfico relacionando a quantidade de quartos com o preço é tido que conforme maior for essa quantidade, maior será o preço.

2ª Casa:

Localiziada em Fort Worth, tem 9 anos, 3 quartos, tem 172 m² e foi vendida por 79.500.

Com tais dados, percebemos que por se localizar em Fort Worth seu valor já é mais valorizado em relação aos Arredores Metropolitanos, cuja média do valor das casas fica em torno de R$129.485. Porém possui idade elevada (9 anos), que consequentemente pode vir a reduzir o valor de venda. Ao vermos os quartos, como dito anteriormente, quanto mais quartos, maior será seu preço de venda. Já ao analisarmos seu tamanho é possível identificarmos no gráfico e pelas médias tidas que quanto maior a casa, maior o seu valor. E sua média de preço baseada nessa variável fica em torno de R$120.900.

Conclusão:

Primeiramente, baseado no estudo de caso vemos que as reclamações não podem se basear em um artigo de um jornal local sobre vendas de casa, pois tal pesquisa não utilizou variáveis, como a idade da casa, quantidade de quartos, utilizou somente de um padrão baseado nas casas típicas da área DFW e as vendas tidas nos últimos 12 meses. Sendo que nesse tempo houve uma crise, que teve como consequência a redução do valor médio das casas.

E um ponto a ser ressaltado também é o fato da comparação de preços entre a Imobiliária Easton e as outras agencias não obteve uma diferença significativa ao ponto dos clientes em questão reclamarem de uma suposta subvalorização.

Logo, com as análises individuais de cada casa, é possível afirmarmos que não houve uma subvalorização das casas da Easton Imobiliária, mas uma pequena redução em relação ao valor médio, pois a diferença tida não é considerável agravante ao ponto de ser uma subvalorização.