Question

Coefficient of variation of two distribution are $60\%$ and $70\%$ and their standard deviations are 21 and 16 respectively. What are their arithmetic means ?

Answer 1

Coefficient of variation = $\frac{\sigma }{\overline{x}}\times 100$

So, we have :

$60\%=\frac{21}{\overline{x}}\times 100\Rightarrow \overline{x}=\frac{21}{.60}\times 100=35$

$70\%=\frac{16}{\overline{x}}\times 100\Rightarrow \overline{x}=\frac{16}{.70}\times 100=22.85$