Question

If the mean and coefficient of variation of a data are $15$ and $48$ respectively, then the value of standard deviation is

• A. $7.2$
• B. $7$
• C. $8.2$
• D. $9$

Answer 1

The correct option is A $7.2$

$\overline{x}=15,C.V=48$
$C.V=\frac{\sigma }{\overline{x}}\times 100$
$48=\frac{\sigma }{15}\times 100$
$\sigma =\frac{48\times 15}{100}=7.2$