Question

If the coefficient of variation of a collection of data is $0.57$ and its S.D. is $6.84$, then find the mean.

Answer 1

$\Rightarrow$ It is given that, $C.V=0.57,\sigma =6.84$

$\Rightarrow$ $C.V=\frac{\sigma }{\overline{x}}\times 100$

$\therefore$ $0.57=\frac{6.84}{\overline{x}}\times 100$

$\therefore$ $\overline{x}=\frac{684}{0.57}$

$\therefore$ $\overline{x}=1200$

$\therefore$ The required mean is $1200$