Question

For the moderately skewed distribution is

Answer 1

Mode = 3Median - 2Mean

In the case of a moderately skewed distribution, i.e. in general, the difference between mean and mode is equal to three times the difference between the mean and median. Thus, the empirical relationship can be written as:

Mean – Mode = 3 (Mean – Median)

∴ Mean - Mode = 3Mean - 3Median

∴ Mean - 3Mean = - 3Median + Mode

∴ - 2Mean = - 3Median + Mode

∴ Mode = 3Median - 2Mean.