Question

If mode is 63 and median is 77, calculate arithmetic mean.

Answer 1

Given:
Mode = 63
Median = 77
Mean = ?

As per the empirical relationship between mean, median and mode:
Mode = 3(Median) – 2(Mean)
Substituting the given values in the formula.
63 = 3 (77) – 2(Mean)
or, 2 (Mean) = 231 – 63
Mean $=\frac{168}{2}=84$
Hence, mean is 84.