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 Problem 23.
(e) Compute the coefficient of skewness for the data in Problem 24.