Question: A measure to determine the level of skewness of a distribution is called the Pearson coefficient of skewness. The formula is:

Skewness = 3(X – MD

s

The values of the coefficient usually range from – 3 to +3. When the distribution is symmetric, the coefficient is zero; when the distribution is positively skewed, it is positive; and when the distribution is negatively skewed, it is negative.

Using this formula, find the coefficient of skewness for each distribution, and describe the shape of the distribution.

1. Mean = 10, median = 8, standard deviation = 3
2. Mean = 42, median = 45, standard deviation = 4
3. Mean = 18.6, median = 18.6, standard deviation = 1.5
4. Mean = 98, median = 97.6, standard deviation = 4.

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