Question

Explain the measures of variability with the help of suitable examples

Answer 1

Two major measure of variation are 1. Standard deviation:- it is the square root of the mean of squared deviation. 2.Variance:- it is the mean squared deviation. For understanding it with ease:- Let us suppose 4 students got 3,4,4 and 5 marks,respectively in a subject, then Standard deviation will be:- First compute simple mean i.e 3+4+4+5/4=16/4=4 Now compute Sum of squared deviation (-1+0+0+1).(-1+0+0+1)=2 Now as Mean of squared deviation is variance= 2/4=0.5 Standard deviation is its square root =√0.5