Question

Find the mode of the data, using an empirical formula when it is given that median$=41.25$ and mean$=33.75$.

Answer 1

We know that ,

mean$-$mode$=3$(mean-median)

mean$=33.75$

median$=41.25$

$33.75-$mode$=3(33.75-41.25)$

$33.75-$mode$=3(-7.5)$

mode$=33.75+22.5$

mode$=11.25$