Question

The median and mode of a frequency distribution are 525 and 500 then mean of same frequency distribution is-

• A. $75$
• B. $107.5$
• C. $527.5$
• D. $537.5$

Answer 1

The correct option is D $537.5$

Median $=525$ , Mode $=500$
We have, Mode$=$ 3 median $-$2 mean
$\Rightarrow$ $500=3\left(525\right)-2$ mean
$\Rightarrow$ 2 mean $=1575-500$
$\Rightarrow mean=\frac{1075}{2}=537.5$
Hence, option 'D' is correct.