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

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, $Mean-Mode=3(Mean-Median)$ 
$\implies Mean-Mode=3Mean-3Median$ 
$\therefore Mode=3Median-2Mean$ 
$\therefore Mode=3(22)-2(20)$ 
$\therefore Mode=26$ 

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