Question

The sum of squares of deviations for 10 observations taken from mean 50 is 250. The coefficient of variation is

Answer 1

Answer:

10%

Step-by-step explanation:

Deviation = |xi - x¬|

We are given that the sum of squares of deviations for 10 observations taken from mean:

|x1 - x¬|² +  |x2 - x¬|²+ ...... +  |x10 - x¬|² = 250

∑|xi - x¬|² = 250

As we know standard deviation √(  1/n∑|xi - x¬|² )

= √(1/10 (250))

= √25

= 5

Co efficient of variation = standard deviation / mean * 100

= 5/50 * 100

= 10%

This implies that the standard deviation is 10 percentage of the mean.