Question

For a certain distribution, mode and median were found to be 1000 and 1250 respectively. Find mean for this distribution using an empirical relation.

Answer 1

There is an empirical relationship between the three measures of central tendency:
3median = mode + 2Mean

`⟹Mean=(3Median−Mode)/2`
`=(3(1250)−1000)/2`
=1375
Thus, the mean is 1375.