Question

If the mean of a series is 10 and its coefficient of variation is 40 per cent, the variance of the series is:

Answer 1

Answer:

Therefore, the variance of the series is 16.

Hope this helps

Answer 2

We recall that  

Coefficient of variation = $\frac{\sigma}{\bar{x}}$

Given: The Coefficient of variation is 40% and the Mean is 10.

$0.4=\frac{\sigma}{10}$

  $\sigma=4$

The variance of  the series is,

$\sigma^2=4^2\\\sigma^2=16$