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

Answer:

Here, $Mean=20$ and $Median=22$.

We have, $Mean-Mode=3(Mean-Median)$ 

$\implies Mean-Mode=3Mean-3Median$ 

$\therefore Mode=3Median-2Mean$ 

$\therefore Mode=3(22)-2(20)$ 

$\therefore Mode=26$