If mean and median of a frequency distribution are 20 and 22 respectively, then the mode of the distribution will be:

Question:

If mean and median of a frequency distribution are 20 and 22 respectively, then the mode of the distribution will be:
(1) 21
(2) 16
(3) 26
(4) 11

Here, $Mean=20$ and $Median=22$.
We have, $Mean-Mode=3(Mean-Median)$
$\implies Mean-Mode=3Mean-3Median$
$\therefore Mode=3Median-2Mean$
$\therefore Mode=3(22)-2(20)$
$\therefore Mode=26$