Question

The mean of a distribution is 4. If its coefficient of variation is 58%. Then the S.D. of the distribution is

• A. 2.23
• B. 3.23
• C. 2.32
• D. none of these

Answer 1

The correct option is C 2.32

Given, mean $\overline{x}=4,$ and coefficient of variation $=58$ %
If S.D of the given distribution is $\sigma$ then we know that,
Coefficient of variation $=\frac{\sigma }{\overline{x}}\times 100$ %
$\Rightarrow 58=\frac{\sigma }{4}\times 100\Rightarrow \sigma =\frac{58\times 4}{100}=2.32$