x <- read.csv("C:\\Users\\Admin\\Desktop\\SARLAKG\\mba.csv")
dim(x)

## [1] 773   3

#View(x)
attach(x)
colnames(x)

## [1] "datasrno" "workex"   "gmat"

head(x,2)

##   datasrno workex gmat
## 1        1     21  720
## 2        2    107  640

tail(x)

##     datasrno workex gmat
## 768      768     38  680
## 769      769     88  620
## 770      770    132  670
## 771      771     28  610
## 772      772     10  610
## 773      773     52  620

mean(x$gmat)

## [1] 711.1643

#attach(x)
#attach(y)
mean(gmat)

## [1] 711.1643

median(gmat)

## [1] 710

var(gmat)

## [1] 860.8188

sd(gmat)

## [1] 29.33971

range = max(gmat) - min(gmat)


windows()
barplot(gmat)

windows()
hist(workex)

hist(gmat)

library(e1071)

## Warning: package 'e1071' was built under R version 3.4.4

skewness(workex)

## [1] 2.598422

kurtosis(workex)

## [1] 13.26826

windows()
qqnorm(sqrt(x$workex))
qqline(log(x$workex))

log(x$workex)

##   [1] 3.044522 4.672829 4.043051 4.595120 5.337538 4.912655 4.248495
##   [8] 4.634729 4.369448 3.091042 4.234107 3.713572 4.276666 4.234107
##  [15] 2.995732 3.044522 2.944439 4.454347 5.442418 2.995732 5.164786
##  [22] 3.044522 3.784190 3.135494 2.995732 4.248495 3.828641 3.496508
##  [29] 4.867534 4.043051 4.043051 3.806662 4.007333 3.737670 3.526361
##  [36] 4.007333 3.784190 4.369448 3.806662 3.637586 3.784190 4.418841
##  [43] 4.770685 3.806662 4.488636 4.343805 4.510860 4.110874 3.850148
##  [50] 4.234107 4.077537 3.465736 4.304065 5.631212 3.496508 3.496508
##  [57] 3.526361 4.700480 3.784190 3.784190 3.828641 4.060443 3.806662
##  [64] 3.526361 3.988984 3.806662 3.496508 4.406719 4.276666 4.343805
##  [71] 3.761200 3.988984 4.521789 4.499810 4.189655 3.637586 3.218876
##  [78] 4.043051 3.433987 4.060443 4.007333 4.219508 4.369448 4.262680
##  [85] 4.219508 3.465736 3.465736 3.806662 4.234107 4.174387 4.043051
##  [92] 3.806662 4.521789 4.043051 4.234107 3.465736 4.248495 4.077537
##  [99] 3.784190 3.784190 3.828641 3.496508 3.828641 4.406719 3.970292
## [106] 3.496508 3.526361 3.610918 4.007333 3.951244 4.219508 3.931826
## [113] 4.234107 3.850148 4.025352 3.806662 4.025352 3.871201 3.526361
## [120] 4.007333 3.761200 4.234107 3.433987 3.828641 4.060443 3.850148
## [127] 4.025352 3.761200 4.060443 3.295837 3.828641 4.060443 3.526361
## [134] 3.526361 3.806662 4.219508 3.526361 3.828641 3.806662 4.025352
## [141] 3.496508 3.496508 3.784190 3.496508 4.234107 4.406719 4.158883
## [148] 4.836282 4.382027 4.382027 3.806662 3.806662 4.219508 4.060443
## [155] 3.806662 4.867534 4.382027 4.867534 3.526361 4.382027 3.871201
## [162] 3.806662 3.688879 4.060443 3.555348 3.688879 4.369448 3.526361
## [169] 4.025352 4.219508 3.465736 4.043051 3.970292 4.043051 3.806662
## [176] 3.828641 4.343805 3.784190 4.219508 3.806662 3.988984 4.060443
## [183] 4.077537 3.637586 4.543295 3.828641 4.564348 3.784190 3.912023
## [190] 4.510860 4.762174 4.060443 3.465736 4.043051 4.043051 4.043051
## [197] 3.465736 3.496508 3.713572 4.248495 3.806662 4.219508 4.499810
## [204] 4.406719 3.496508 3.828641 3.806662 3.806662 4.369448 4.691348
## [211] 3.970292 3.784190 3.496508 4.248495 3.784190 3.931826 4.442651
## [218] 4.043051 4.189655 3.784190 3.912023 3.401197 3.496508 4.488636
## [225] 4.007333 4.852030 3.806662 3.496508 3.555348 3.496508 4.060443
## [232] 3.891820 4.043051 3.806662 4.143135 4.394449 4.025352 3.806662
## [239] 4.454347 3.806662 4.234107 3.761200 3.806662 4.248495 3.496508
## [246] 3.761200 3.526361 3.850148 4.043051 4.248495 4.532599 4.521789
## [253] 3.465736 4.382027 3.496508 3.465736 4.007333 3.828641 4.189655
## [260] 4.174387 3.737670 4.262680 3.713572 3.401197 3.806662 4.510860
## [267] 3.828641 3.784190 4.304065 3.806662 4.718499 3.828641 4.234107
## [274] 3.465736 4.234107 3.784190 4.234107 3.806662 4.394449 4.406719
## [281] 3.784190 3.526361 3.828641 3.526361 3.761200 4.234107 3.526361
## [288] 3.465736 3.806662 3.912023 4.043051 3.912023 4.060443 4.521789
## [295] 4.875197 3.806662 4.158883 3.871201 3.465736 3.465736 4.605170
## [302] 4.025352 4.025352 3.806662 4.219508 3.332205 4.043051 3.784190
## [309] 4.060443 3.828641 4.955827 3.850148 4.158883 4.828314 4.007333
## [316] 3.465736 3.931826 4.543295 3.970292 4.043051 3.970292 4.025352
## [323] 4.477337 4.127134 4.234107 4.510860 4.532599 4.663439 4.219508
## [330] 4.025352 4.043051 4.025352 4.248495 4.248495 3.688879 3.828641
## [337] 3.806662 3.951244 4.382027 4.234107 4.025352 4.406719 4.060443
## [344] 4.219508 3.663562 4.521789 3.526361 3.737670 4.234107 3.496508
## [351] 5.590987 4.248495 3.988984 3.784190 3.737670 3.784190 4.043051
## [358] 4.394449 4.634729 4.234107 3.526361 3.496508 4.234107 4.043051
## [365] 4.189655 3.526361 4.234107 3.806662 3.806662 3.737670 3.850148
## [372] 3.637586 4.406719 4.488636 3.806662 3.526361 3.970292 4.234107
## [379] 3.871201 4.499810 3.091042 3.761200 3.713572 4.406719 4.025352
## [386] 4.382027 3.610918 3.496508 4.394449 4.875197 3.761200 4.234107
## [393] 4.276666 3.526361 4.060443 4.234107 4.394449 4.753590 4.343805
## [400] 3.806662 4.043051 4.025352 4.043051 4.691348 3.784190 3.610918
## [407] 3.806662 3.828641 4.219508 4.356709 4.143135 3.806662 4.204693
## [414] 3.496508 4.234107 3.806662 5.170484 4.406719 4.007333 3.465736
## [421] 3.806662 4.043051 4.234107 3.465736 4.532599 4.875197 3.891820
## [428] 3.663562 3.610918 4.709530 4.189655 3.806662 3.784190 3.555348
## [435] 4.204693 3.496508 4.043051 3.951244 3.891820 3.367296 3.433987
## [442] 4.262680 3.526361 3.828641 3.828641 4.804021 3.526361 3.367296
## [449] 4.248495 3.761200 4.753590 4.234107 3.761200 3.784190 4.043051
## [456] 4.248495 4.007333 3.784190 3.555348 4.060443 3.688879 3.496508
## [463] 4.369448 3.828641 3.465736 4.394449 3.367296 4.465908 4.234107
## [470] 3.178054 4.219508 3.891820 4.060443 4.234107 3.637586 3.806662
## [477] 3.761200 4.043051 4.234107 3.526361 3.496508 3.637586 4.290459
## [484] 3.526361 3.367296 4.043051 3.688879 4.532599 3.367296 4.584967
## [491] 3.496508 3.806662 3.583519 3.828641 3.688879 3.988984 3.806662
## [498] 3.988984 4.043051 3.951244 4.948760 4.394449 3.784190 3.806662
## [505] 4.043051 3.988984 4.077537 4.127134 3.496508 4.060443 3.828641
## [512] 3.332205 4.219508 4.962845 3.663562 3.784190 4.510860 4.430817
## [519] 4.234107 4.043051 3.496508 3.496508 4.521789 3.784190 3.806662
## [526] 3.218876 3.496508 3.806662 4.454347 3.828641 4.653960 3.496508
## [533] 3.713572 3.806662 3.784190 3.526361 3.610918 4.820282 3.465736
## [540] 4.060443 3.761200 3.784190 4.532599 3.526361 4.317488 4.521789
## [547] 3.737670 3.761200 4.248495 4.094345 3.583519 3.583519 4.219508
## [554] 3.555348 3.784190 4.248495 3.526361 3.988984 4.248495 3.526361
## [561] 3.583519 4.234107 3.806662 4.882802 4.394449 4.356709 3.526361
## [568] 3.761200 4.060443 4.406719 3.526361 3.526361 4.127134 3.912023
## [575] 3.806662 4.248495 4.077537 3.496508 4.595120 4.043051 3.401197
## [582] 3.828641 3.871201 3.555348 3.828641 4.043051 3.761200 4.060443
## [589] 4.060443 3.526361 3.784190 3.806662 3.828641 4.025352 3.496508
## [596] 4.521789 3.433987 3.496508 4.234107 3.970292 3.610918 4.779123
## [603] 3.401197 4.043051 3.496508 4.007333 3.465736 3.761200 4.356709
## [610] 4.248495 3.970292 4.234107 4.025352 3.806662 2.197225 3.637586
## [617] 4.406719 4.219508 3.784190 4.304065 3.496508 4.276666 4.043051
## [624] 3.784190 3.367296 3.784190 4.369448 3.401197 3.526361 3.828641
## [631] 3.806662 4.394449 3.806662 4.418841 3.784190 3.332205 3.496508
## [638] 4.060443 4.110874 4.276666 4.060443 3.806662 4.189655 3.784190
## [645] 3.806662 4.394449 3.496508 3.806662 3.433987 4.406719 3.401197
## [652] 3.526361 4.394449 3.850148 4.532599 3.091042 3.688879 4.060443
## [659] 4.043051 3.178054 3.663562 3.688879 3.828641 4.043051 3.784190
## [666] 3.912023 3.526361 4.521789 3.761200 4.663439 4.234107 3.761200
## [673] 4.234107 4.043051 3.761200 4.615121 3.496508 3.496508 4.867534
## [680] 4.060443 3.496508 4.025352 3.401197 3.784190 4.060443 4.043051
## [687] 3.784190 4.394449 4.543295 4.060443 4.025352 4.043051 3.806662
## [694] 4.369448 3.496508 4.043051 4.060443 3.761200 3.737670 4.219508
## [701] 3.526361 3.091042 3.295837 3.713572 3.737670 4.369448 4.043051
## [708] 4.442651 3.496508 4.077537 4.043051 3.688879 4.394449 4.060443
## [715] 4.406719 3.951244 4.025352 3.526361 4.262680 3.713572 3.970292
## [722] 3.465736 3.806662 4.234107 3.784190 3.806662 4.770685 3.806662
## [729] 3.828641 4.234107 4.394449 3.784190 3.526361 3.951244 4.007333
## [736] 4.234107 4.418841 3.663562 4.234107 3.433987 3.496508 4.025352
## [743] 3.465736 4.543295 4.653960 4.553877 3.761200 4.488636 4.219508
## [750] 3.828641 4.234107 4.532599 4.094345 4.234107 4.219508 3.828641
## [757] 3.135494 3.912023 3.496508 3.663562 3.526361 4.234107 3.526361
## [764] 3.433987 3.367296 3.828641 3.784190 3.637586 4.477337 4.882802
## [771] 3.332205 2.302585 3.951244

qnorm(0.995)

## [1] 2.575829