Skewness of frequency distribution?

User Generated

NOBFAVPU21

Mathematics

Question Description

Consider the following frequency distribution:

Class No.

Class Boundaries

Frequency

1

8087.5 - 8096.5

3

2

8096.5 - 8105.5

8

3

8105.5 - 8114.5

10

4

8114.5 - 8123.5

14

5

8123.5 - 8132.5

15



The skewness of the  frequency distribution is   

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Explanation & Answer

Skewness calculator Formula:

	 g=sum(x-xmean)^3 for all observations/(n-1)^3
where:
 x: Mean of samples
 xi:The ith sample
 n: Total sample number
 s: Standard Deviation of all samples
 g: Sample skewness

Here data: 3,8,10,14,15

n = 5

mean = (3+8+10+14+15)/5 = 10

variance = 23.5

standard deviation = sqrt(23.5) =4.847

Putting these values in skewness formula, we get skewness = -0.3555

nxpu2002 (27)
University of Virginia

Anonymous
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