Question

If the coefficient of variation and standard deviation are $60$ and $21$ respectively, then the arithmetic mean of the distribution is:

• A. $60$
• B. $30$
• C. $35$
• D. $21$

Answer 1

The correct option is C

$35$

Explanation for the correct option.

Given coefficient of variation $=60$
Standard variation $=21$
We know, the coefficient of variation$=\frac{\text{standard variation}}{\text{arithmetic mean}}\times 100$

Substituting values we get:
$\begin{array}{rcl}60& =& \frac{21}{\text{arithmetic mean}}\times 100\\ \text{arithmetic mean}& =& \frac{2100}{60}\\ & =& 35\end{array}$
Hence, option C is correct.