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Question

The mean, mode and standard deviation of a data set are 10, 13 and 1.5, respectively. The value of coefficient of skewness is:

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Explanation

Karl Pearson's coefficient of skewness = (Mean – Mode)/SD measures asymmetry. Substituting mean 10, mode 13, SD 1.5 yields (10-13)/1.5 = -3/1.5 = -2. Negative value indicates left skew, consistent with mean less than mode in this dataset.

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