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

bv

gh

lk

hjk

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

vn

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

Answers

1)Karl-pearson’s coefficient of Skewness = 0.093295562

2) Buorley’s cooefficient of Skewness = -0.130434782

3)Skewness for moments = -0.011258888

4)Kurtosis=1.91649488

Last modified: Wednesday, 22 August 2012, 6:37 AM