## Calculate the Skewness value, coefficient of skewness and kurtosis value

18 22 17 18

22 23 22 19

25 25 23 25

24 28 26 27

19 20 27 22

 Sl. No. X Ascending value 1 17 -5.6 31.36 -175.616 983.4496 2 18 -4.6 21.16 -97.336 447.7456 3 18 -4.6 21.16 -97.336 447.7456 4 19 -3.6 12.96 -46.656 167.9616 5 19 -3.6 12.96 -46.656 167.9616 6 20 -2.6 6.76 -17.576 45.6976 7 22 -0.6 0.36 -0.216 0.1296 8 22 -0.6 0.36 -0.216 0.1296 9 22 -0.6 0.36 -0.216 0.1296 10 22 -0.6 0.36 -0.216 0.1296 11 23 0.4 0.16 0.064 0.0256 12 23 0.4 0.16 0.064 0.0256 13 24 1.4 1.96 2.744 3.8416 14 25 2.4 5.76 13.824 33.1776 15 25 2.4 5.76 13.824 33.1776 16 25 2.4 5.76 13.824 33.1776 17 26 3.4 11.56 39.304 133.6336 18 27 4.4 19.36 85.184 374.8096 19 27 4.4 19.36 85.184 374.8096 20 28 5.4 29.16 157.464 850.3096 Total 452 0 206.80 -70.560 4098.0640

m 1 = = 0

m 2 = = 10.34

m 3 = = - 3.528

m 4 = = 204.9032

1) Karl-Pearson’s Coefficient of Skewness

=

=

= = 0.093295562

2) Brevley’s coefficient of Skewness =

=

= =

= - 0.130434782

3) Skewness from Moments

m 3 2

Skewness( b 1) = -----------

m 2 3

(-3.528)2 12.446784

= --------------- = -----------------

(10.34)3 1105.507304

=-0.011258888

4) Kurtosis

m 4

Kurtosis ( b 2) = ---------------

m 2 2

204.9032 204.9032

= --------------------- = -------------------

(10.34)2 106.9156

= 1.91649488