Question

Coefficients of variation of 2 distributions are 70% & 75%, & S.D. are 28 & 27 respectively. Find their arithmetic means?

Answer 1

Dear Student,

$$\begin{gathered} coefficientofvariation=\frac{\sigma }{\mu }\times 100 \\ where,\sigma =s\tan darddeviationand\mu =Mean \\ \left(i\right)70=\frac{28}{\mu }\times 100\Rightarrow \mu =\frac{28}{70}\times 100=40 \\ \left(ii\right)75=\frac{27}{\mu }\times 100\Rightarrow \mu =\frac{27}{75}\times 100=36 \end{gathered}$$

Regards