In a frequency distribution if the mode is 50 and the median is 20 then the mean will be

Concept: Karl Pearson's Formula can be used to express the relationship between mean, median, and mode:

$Mode=3Median-2Mean$

Given: Mode = 50 and Median = 20

$\Rightarrow 50=3\left(20\right)-2Mean$

$\Rightarrow 50=3\left(20\right)-2Mean$

$\Rightarrow 50=60-2Mean$

$\Rightarrow Mean=\frac{10}{2}=5$

$\therefore Mean=5$