Question

The mean of a dist. is $4$. if its coefficient of variation is $58\%$. Then the S.D. of the dist. is

• A. $2.23$
• B. $3.23$
• C. $2.32$
• D. None of these

Answer 1

The correct option is C $2.32$

We know if a distribution having mean $\overline{x}$ and standard deviation $\sigma$
then coefficient of variation $=\frac{\sigma }{\overline{x}}\times 100$
$\therefore \frac{\sigma }{4}\times 100=58\Rightarrow \sigma =\frac{58}{25}=2.32$
Hence required standard deviation is $=2.32$