Question

In a moderately asymmetrical distribution, if the mean and median are $36$ and $34$ respectively, then find out the value of empirical mode.

• A. $30$
• B. $32$
• C. $42$
• D. $22$

Answer 1

The correct option is A

$30$

Explanation for the correct answer:

Find out the value of empirical mode.

Given, mean and median are $36$ and $34$ respectively

We know,

$\begin{array}{rcl}\mathrm{Mode}& =& 3\left(\mathrm{median}\right)-2\left(\mathrm{mean}\right)\\ & =& 3\left(34\right)-2\left(36\right)\\ & =& 102-72\\ & =& 30\end{array}$

Hence, the correct option is A.