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