The English statistician Karl Pearson (1857-1936) introduced a formula for the skewness of a distribution. P =

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The English statistician Karl Pearson (1857-1936) introduced a formula for the skewness of a distribution.
P=3(x¯ median )s Pearson's index of skewness 

Most distributions have an index of skewness between -3 and 3 . When P>0, the data are skewed right. When P<0, the data are skewed left. When P=0, the data are symmetric. Calculate the coefficient of skewness for each distribution. Describe the shape of each.

(a) x¯=17,s=2.3, median =19

(b) x¯=32,s=5.1, median =25

(c) x¯=9.2,s=1.8, median =9.2

(d) x¯=42,s=6.0, median =40

(e) x¯=155,s=20.0, median =175

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