Coefficient of Skewness Karl Pearson developed a measure that describes the skewness of

Chapter 3, Problem 43

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Coefficient of Skewness Karl Pearson developed a measure that describes the skewness of a distribution, called the coefficient of skewness. The formula is Skewness = 3(mean - median) standard deviation The value of this measure generally lies between -3 and +3. The closer the value lies to -3, the more the distribution is skewed left. The closer the value lies to +3, the more the distribution is skewed right. A value close to 0 indicates a symmetric distribution. Find the coefficient of skewness of the following distributions and comment on the skewness. (a) Mean = 50, median = 40, standard deviation = 10 (b) Mean = 100, median = 100, standard deviation = 15 (c) Mean = 400, median = 500, standard deviation = 120 (d) Compute the coefficient of skewness for the data in 23. (e) Compute the coefficient of skewness for the data in 24.