Question

Calculate mode when arithmetic mean is 146 and median is 130.

Answer 1

Given:
Mean = 146
Median = 130
Mode = ?

As per the empirical relationship between mean, median and mode:
Mode = 3(Median) – 2(Mean)
Substituting the given values in the formula.

Mode = 3(130) – 2(146)
or, Mode = 390 – 292
Hence, Mode is 98.