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For a moderately skewed distribution, what is the empirical relationship between Mean, Median and Mode ?

For a moderately skewed distribution, what is the empirical relationship between Mean, Median and Mode ? Correct Answer Mean - Mode = 3(Mean - Median)

To find the relationship between mean, median, and mode for a moderately skewed distribution, we should express this relationship by Karl Pearson’s formula. It is defined as the distance

between the mean and the median is about one-third the distance between the mean and the mode. We can write this as,

1/3(Mean – Mode) = (Mean – Median)

⇒ Mean – Mode = 3(Mean – Median)

∴ The required answer is Mean – Mode = 3(Mean – Median)

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