Pearson Coefficient of Skewness A measure to determine the skewness of a distribution is called thePearson coefficient of skewness(PC). The formula is
The values of the coefficient usually range from
to
. 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 the formula, find the coefficient of skewness for each distribution and describe the shape of the distribution. Round your answers to two decimal places as needed.
a) Mean =10 , median =11 , standard deviation =3
The coefficient of skewness is This distribution is
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(b) Mean =42 , median =41 , standard deviation =4
The coefficient of skewness is
This distribution is |
(c) Mean =17.7 , median =17.8 , standard deviation =1.6
The coefficient of skewness is
This distribution is |
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(d) Mean =97 , median =96.5 , standard deviation =5
The coefficient of skewness is This distribution is
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