Question

For a certain frequency distribution, the values of mean and median are $72$ and $78$ respectively. Find the value of mode.

Answer 1

Mean-Mode$=$$3\times$(Mean-Median)

Mean$=72$

Median$=78$

(Mean-Median)$=-6$

Putting value in the equation

$72-$Mode $=$$3\times -6$

$72-$Mode$=$$=-18$

Mode$=$$72+18$$=90$

Mode$=90$