Question

Calculate median in an asymmetrical distribution if mode is 83 and arithmetic mean is 92.

Answer 1

Given:
Mode = 83
Mean = 92
Median = ?

Recalling the empirical relationship between mean, median and mode, we can express it algebraically as below.
Mode = 3(Median) – 2(Mean)
Substituting the given values in the formula.

or, 83 = 3 (Median) – 2(92)
or, 3 (Median) = 83 + 184
or, Median $=\frac{267}{3}=89$
Hence, median is equal to 89