Question

If the coefficient of variation is $45\%$ and the mean is $12$, then its standard deviation is:

• A. $5.2$
• B. $5.3$
• C. $5.4$
• D. None of these

Answer 1

The correct option is C

$5.4$

Explanation for the correct option.

Given, the coefficient of variation $=45\%$ and mean$=12$

We know that, the percentage of coefficient of variation$=\frac{\mathrm{standard}\mathrm{deviation}}{\mathrm{mean}}\times 100$.

$\begin{array}{rcl}45& =& \frac{\mathrm{standard}\mathrm{deviation}}{12}\times 100\\ \mathrm{standard}\mathrm{deviatio}n& =& \frac{45\times 12}{100}\\ & =& 5.4\end{array}$

Hence, option C is correct.