Question

The sum of squares of deviations from the mean 50, for 10 items is 250. Then the coefficient of variation is

Answer 1

Answer:

0.1

Step-by-step explanation:

Given number of items are 10.

Given sum of square of deviations from mean for 10 items is 250.

Also, Given Mean of the data , μ = 50

If we assume all the data(items) are equally distributed(i.e., they have same probability to occur),

Variance of the data(σ²) is given by = Sum of deviations from the mean/ total number of items

=> σ² = 250/10

=> σ² = 25

=> σ = √25 = 5

Hence , standard deviation is 5.

Coefficient of variation is given by ratio of Standard deviation to mean .e.,

ρ = σ/μ

= 5/50

=1/10

= 0.1