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Data
## gender id race ses schtyp prgtype read write math science socst
## 1 0 70 4 1 1 general 57 52 41 47 57
## 2 1 121 4 2 1 vocati 68 59 53 63 61
## 3 0 86 4 3 1 general 44 33 54 58 31
## 4 0 141 4 3 1 vocati 63 44 47 53 56
## 5 0 172 4 2 1 academic 47 52 57 53 61
## 6 0 113 4 2 1 academic 44 52 51 63 61
## 7 0 50 3 2 1 general 50 59 42 53 61
## 8 0 11 1 2 1 academic 34 46 45 39 36
## 9 0 84 4 2 1 general 63 57 54 NA 51
## 10 0 48 3 2 1 academic 57 55 52 50 51
## 11 0 75 4 2 1 vocati 60 46 51 53 61
## 12 0 60 5 2 1 academic 57 65 51 63 61
## 13 0 95 4 3 1 academic 73 60 71 61 71
## 14 0 104 4 3 1 academic 54 63 57 55 46
## 15 0 38 3 1 1 academic 45 57 50 31 56
## 16 0 115 4 1 1 general 42 49 43 50 56
## 17 0 76 4 3 1 academic 47 52 51 50 56
## 18 0 195 4 2 2 general 57 57 60 NA 56
## 19 0 114 4 3 1 academic 68 65 62 55 61
## 20 0 85 4 2 1 general 55 39 57 53 46
## 21 0 167 4 2 1 general 63 49 35 66 41
## 22 0 143 4 2 1 vocati 63 63 75 72 66
## 23 0 41 3 2 1 academic 50 40 45 55 56
## 24 0 20 1 3 1 academic 60 52 57 61 61
## 25 0 12 1 2 1 vocati 37 44 45 39 46
## 26 0 53 3 2 1 vocati 34 37 46 39 31
## 27 0 154 4 3 1 academic 65 65 66 61 66
## 28 0 178 4 2 2 vocati 47 57 57 58 46
## 29 0 196 4 3 2 academic 44 38 49 39 46
## 30 0 29 2 1 1 general 52 44 49 55 41
## 31 0 126 4 2 1 general 42 31 57 47 51
## 32 0 103 4 3 1 academic 76 52 64 64 61
## 33 0 192 4 3 2 academic 65 67 63 66 71
## 34 0 150 4 2 1 vocati 42 41 57 72 31
## 35 0 199 4 3 2 academic 52 59 50 61 61
## 36 0 144 4 3 1 general 60 65 58 61 66
## 37 0 200 4 2 2 academic 68 54 75 NA 66
## 38 0 80 4 3 1 academic 65 62 68 66 66
## 39 0 16 1 1 1 vocati 47 31 44 36 36
## 40 0 153 4 2 1 vocati 39 31 40 39 51
## 41 0 176 4 2 2 academic 47 47 41 42 51
## 42 0 177 4 2 2 academic 55 59 62 58 51
## 43 0 168 4 2 1 academic 52 54 57 55 51
## 44 0 40 3 1 1 general 42 41 43 50 41
## 45 0 62 4 3 1 general 65 65 48 63 66
## 46 0 169 4 1 1 general 55 59 63 69 46
## 47 0 49 3 3 1 vocati 50 40 39 49 47
## 48 0 136 4 2 1 academic 65 59 70 63 51
## 49 0 189 4 2 2 academic 47 59 63 53 46
## 50 0 7 1 2 1 academic 57 54 59 47 51
## 51 0 27 2 2 1 academic 53 61 61 57 56
## 52 0 128 4 3 1 academic 39 33 38 47 41
## 53 0 21 1 2 1 general 44 44 61 50 46
## 54 0 183 4 2 2 academic 63 59 49 55 71
## 55 0 132 4 2 1 academic 73 62 73 NA 66
## 56 0 15 1 3 1 vocati 39 39 44 26 42
## 57 0 67 4 1 1 vocati 37 37 42 33 32
## 58 0 22 1 2 1 vocati 42 39 39 56 46
## 59 0 185 4 2 2 academic 63 57 55 58 41
## 60 0 9 1 2 1 vocati 48 49 52 44 51
## 61 0 181 4 2 2 academic 50 46 45 58 61
## 62 0 170 4 3 1 academic 47 62 61 69 66
## 63 0 134 4 1 1 general 44 44 39 34 46
## 64 0 108 4 2 1 general 34 33 41 36 36
## 65 0 197 4 3 2 academic 50 42 50 36 61
## 66 0 140 4 2 1 vocati 44 41 40 50 26
## 67 0 171 4 2 1 academic 60 54 60 55 66
## 68 0 107 4 1 1 vocati 47 39 47 42 26
## 69 0 81 4 1 1 academic 63 43 59 65 44
## 70 0 18 1 2 1 vocati 50 33 49 44 36
## 71 0 155 4 2 1 general 44 44 46 39 51
## 72 0 97 4 3 1 academic 60 54 58 58 61
## 73 0 68 4 2 1 academic 73 67 71 63 66
## 74 0 157 5 2 1 general 68 59 58 74 66
## 75 0 56 4 2 1 vocati 55 45 46 58 51
## 76 0 5 1 1 1 academic 47 40 43 NA 31
## 77 0 159 4 3 1 academic 55 61 54 49 61
## 78 0 123 4 3 1 general 68 59 56 63 66
## 79 0 164 4 2 1 vocati 31 36 46 39 46
## 80 0 14 1 3 1 academic 47 41 54 42 56
## 81 0 127 4 3 1 academic 63 59 57 55 56
## 82 0 165 4 1 1 vocati 36 49 54 61 36
## 83 0 174 4 2 2 academic 68 59 71 66 56
## 84 0 3 1 1 1 academic 63 65 48 63 56
## 85 0 58 4 2 1 vocati 55 41 40 44 41
## 86 0 146 4 3 1 academic 55 62 64 63 66
## 87 0 102 4 3 1 academic 52 41 51 53 56
## 88 0 117 4 3 1 vocati 34 49 39 42 56
## 89 0 133 4 2 1 vocati 50 31 40 34 31
## 90 0 94 4 3 1 academic 55 49 61 61 56
## 91 0 24 2 2 1 academic 52 62 66 47 46
## 92 0 149 4 1 1 general 63 49 49 66 46
## 93 1 82 4 3 1 academic 68 62 65 69 61
## 94 1 8 1 1 1 academic 39 44 52 44 48
## 95 1 129 4 1 1 general 44 44 46 47 51
## 96 1 173 4 1 1 general 50 62 61 63 51
## 97 1 57 4 2 1 academic 71 65 72 66 56
## 98 1 100 4 3 1 academic 63 65 71 69 71
## 99 1 1 1 1 1 vocati 34 44 40 39 41
## 100 1 194 4 3 2 academic 63 63 69 61 61
## 101 1 88 4 3 1 academic 68 60 64 69 66
## 102 1 99 4 3 1 general 47 59 56 66 61
## 103 1 47 3 1 1 academic 47 46 49 33 41
## 104 1 120 4 3 1 academic 63 52 54 50 51
## 105 1 166 4 2 1 academic 52 59 53 61 51
## 106 1 65 4 2 1 academic 55 54 66 42 56
## 107 1 101 4 3 1 academic 60 62 67 50 56
## 108 1 89 4 1 1 vocati 35 35 40 51 33
## 109 1 54 3 1 2 general 47 54 46 50 56
## 110 1 180 4 3 2 academic 71 65 69 58 71
## 111 1 162 4 2 1 vocati 57 52 40 61 56
## 112 1 4 1 1 1 academic 44 50 41 39 51
## 113 1 131 4 3 1 academic 65 59 57 46 66
## 114 1 125 4 1 1 academic 68 65 58 59 56
## 115 1 34 1 3 2 academic 73 61 57 55 66
## 116 1 106 4 2 1 vocati 36 44 37 42 41
## 117 1 130 4 3 1 general 43 54 55 55 46
## 118 1 93 4 3 1 academic 73 67 62 58 66
## 119 1 163 4 1 1 academic 52 57 64 58 56
## 120 1 37 3 1 1 vocati 41 47 40 39 51
## 121 1 35 1 1 2 general 60 54 50 50 51
## 122 1 87 4 2 1 general 50 52 46 50 56
## 123 1 73 4 2 1 academic 50 52 53 39 56
## 124 1 151 4 2 1 vocati 47 46 52 48 46
## 125 1 44 3 1 1 vocati 47 62 45 34 46
## 126 1 152 4 3 1 academic 55 57 56 58 61
## 127 1 105 4 2 1 academic 50 41 45 44 56
## 128 1 28 2 2 1 general 39 53 54 50 41
## 129 1 91 4 3 1 vocati 50 49 56 47 46
## 130 1 45 3 1 1 vocati 34 35 41 29 26
## 131 1 116 4 2 1 academic 57 59 54 50 56
## 132 1 33 2 1 1 academic 57 65 72 54 56
## 133 1 66 4 2 1 vocati 68 62 56 50 51
## 134 1 72 4 2 1 vocati 42 54 47 47 46
## 135 1 77 4 1 1 academic 61 59 49 44 66
## 136 1 61 4 3 1 academic 76 63 60 67 66
## 137 1 190 4 2 2 academic 47 59 54 58 46
## 138 1 42 3 2 1 vocati 46 52 55 44 56
## 139 1 2 1 2 1 vocati 39 41 33 42 41
## 140 1 55 3 2 2 academic 52 49 49 44 61
## 141 1 19 1 1 1 general 28 46 43 44 51
## 142 1 90 4 3 1 academic 42 54 50 50 52
## 143 1 142 4 2 1 vocati 47 42 52 39 51
## 144 1 17 1 2 1 academic 47 57 48 44 41
## 145 1 122 4 2 1 academic 52 59 58 53 66
## 146 1 191 4 3 2 academic 47 52 43 48 61
## 147 1 83 4 2 1 vocati 50 62 41 55 31
## 148 1 182 4 2 2 academic 44 52 43 44 51
## 149 1 6 1 1 1 academic 47 41 46 40 41
## 150 1 46 3 1 1 academic 45 55 44 34 41
## 151 1 43 3 1 1 academic 47 37 43 42 46
## 152 1 96 4 3 1 academic 65 54 61 58 56
## 153 1 138 4 2 1 vocati 43 57 40 50 51
## 154 1 10 1 2 1 general 47 54 49 53 61
## 155 1 71 4 2 1 general 57 62 56 58 66
## 156 1 139 4 2 1 academic 68 59 61 55 71
## 157 1 110 4 2 1 vocati 52 55 50 54 61
## 158 1 148 4 2 1 vocati 42 57 51 47 61
## 159 1 109 4 2 1 general 42 39 42 42 41
## 160 1 39 3 3 1 academic 66 67 67 61 66
## 161 1 147 4 1 1 academic 47 62 53 53 61
## 162 1 74 4 2 1 academic 57 50 50 51 58
## 163 1 198 4 3 2 academic 47 61 51 63 31
## 164 1 161 4 1 1 academic 57 62 72 61 61
## 165 1 112 4 2 1 academic 52 59 48 55 61
## 166 1 69 4 1 1 vocati 44 44 40 40 31
## 167 1 156 4 2 1 academic 50 59 53 61 61
## 168 1 111 4 1 1 general 39 54 39 47 36
## 169 1 186 4 2 2 academic 57 62 63 55 41
## 170 1 98 4 1 1 vocati 57 60 51 53 37
## 171 1 119 4 1 1 general 42 57 45 50 43
## 172 1 13 1 2 1 vocati 47 46 39 47 61
## 173 1 51 3 3 1 general 42 36 42 31 39
## 174 1 26 2 3 1 academic 60 59 62 61 51
## 175 1 36 3 1 1 general 44 49 44 35 51
## 176 1 135 4 1 1 academic 63 60 65 54 66
## 177 1 59 4 2 1 academic 65 67 63 55 71
## 178 1 78 4 2 1 academic 39 54 54 53 41
## 179 1 64 4 3 1 vocati 50 52 45 58 36
## 180 1 63 4 1 1 general 52 65 60 56 51
## 181 1 79 4 2 1 academic 60 62 49 50 51
## 182 1 193 4 2 2 academic 44 49 48 39 51
## 183 1 92 4 3 1 general 52 67 57 63 61
## 184 1 160 4 2 1 academic 55 65 55 50 61
## 185 1 32 2 3 1 vocati 50 67 66 66 56
## 186 1 23 2 1 1 academic 65 65 64 58 71
## 187 1 158 4 2 1 general 52 54 55 53 51
## 188 1 25 2 2 1 general 47 44 42 42 36
## 189 1 188 4 3 2 academic 63 62 56 55 61
## 190 1 52 3 1 1 academic 50 46 53 53 66
## 191 1 124 4 1 1 vocati 42 54 41 42 41
## 192 1 175 4 3 2 general 36 57 42 50 41
## 193 1 184 4 2 2 vocati 50 52 53 55 56
## 194 1 30 2 3 1 academic 41 59 42 34 51
## 195 1 179 4 2 2 academic 47 65 60 50 56
## 196 1 31 2 2 2 general 55 59 52 42 56
## 197 1 145 4 2 1 vocati 42 46 38 36 46
## 198 1 187 4 2 2 general 57 41 57 55 52
## 199 1 118 4 2 1 general 55 62 58 58 61
## 200 1 137 4 3 1 academic 63 65 65 53 61
summary(Data)
## gender id race ses
## Min. :0.000 Min. : 1.00 Min. :1.00 Min. :1.000
## 1st Qu.:0.000 1st Qu.: 50.75 1st Qu.:3.00 1st Qu.:2.000
## Median :1.000 Median :100.50 Median :4.00 Median :2.000
## Mean :0.545 Mean :100.50 Mean :3.44 Mean :2.055
## 3rd Qu.:1.000 3rd Qu.:150.25 3rd Qu.:4.00 3rd Qu.:3.000
## Max. :1.000 Max. :200.00 Max. :5.00 Max. :3.000
##
## schtyp prgtype read write
## Min. :1.00 academic:105 Min. :28.00 Min. :31.00
## 1st Qu.:1.00 general : 45 1st Qu.:44.00 1st Qu.:45.75
## Median :1.00 vocati : 50 Median :50.00 Median :54.00
## Mean :1.16 Mean :52.23 Mean :52.77
## 3rd Qu.:1.00 3rd Qu.:60.00 3rd Qu.:60.00
## Max. :2.00 Max. :76.00 Max. :67.00
##
## math science socst
## Min. :33.00 Min. :26.00 Min. :26.00
## 1st Qu.:45.00 1st Qu.:44.00 1st Qu.:46.00
## Median :52.00 Median :53.00 Median :52.00
## Mean :52.65 Mean :51.66 Mean :52.41
## 3rd Qu.:59.00 3rd Qu.:58.00 3rd Qu.:61.00
## Max. :75.00 Max. :74.00 Max. :71.00
## NA's :5