Question

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

Answer 1

The coefficient of variation (CV) for the first distribution is 60.
The coefficient of variation (CV) for the second distribution is 70.
$SD\left({\sigma }_1\right)=21$
$SD\left({\sigma }_2\right)=16$
We know:
$CV=\frac{\sigma }{\overline{X}}\times 100$

From the above formula, we get:
$\overline{X}=\frac{\sigma }{CV}\times 100$

$$\begin{gathered} \overline{X_1}=\frac{21}{60}\times 100=35 \\ \overline{X_2}=\frac{16}{70}\times 100=22.86 \end{gathered}$$