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For a moderately skewed distribution, which of the following relationshipholds?(a) Mean – Median = 3 (Median – Mode)(b) Median -Mode = 3 (Mean -Median)(c) Mean – Mode = 3 (Mean – Median)(d) Mean – Median 3 (Mean – Mode)

Question

For a moderately skewed distribution, which of the following relationshipholds?(a) Mean – Median = 3 (Median – Mode)(b) Median -Mode = 3 (Mean -Median)(c) Mean – Mode = 3 (Mean – Median)(d) Mean – Median 3 (Mean – Mode)

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Solution

For a moderately skewed distribution, the relationship that holds is (c) Mean – Mode = 3 (Mean – Median). This is known as Pearson's First Coefficient of Skewness. It is a measure of the degree and direction of asymmetry. A positive value indicates a distribution with a long right tail (right-skewed distribution) and a negative value indicates a distribution with a long left tail (left-skewed distribution).

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