Question

If the difference between the mode and the median is $36$, then find the difference between the median and the mean.

• A. $16$
• B. $33$
• C. $18$
• D. $32$

Answer 1

Answer: (C)

$18$

Difference of Mode and Median = $36$
So, Mode - Median = $36$ ...(1)
We know that, Mode = $3$ Median - $2$ Mean
= Mode - Median = $2$ Median - $2$ Mean
= $2$(Median - Mean) = Mode - Median = $36$
[ Using $\left(1\right)$ ] Median - Mean = $\frac{36}{2}$
Median - Mean = $18$