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# Carl Pearson's coefficient of skewness

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The following table gives the distribution of daily traveling allowance to salesmen in a company

Traveling # of salesmen
allowances
100-120 14
120-140 16
140-160 20
160-180 18
180-200 15
200-220 7
220-240 6
240-260 4

Compute Karl Pearson's co-efficient of skewness and comment on its value.

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See the attached file for the full solution.

Step-1: Calculate mid points for the class interval
Step2: Calculate average
Step3: Calculate Median
Step4: Calculate Standard deviation
Step5: Carl Pearson's coefficient =
3*(mean-median)/standard deviation

Explanation: The value of Carl Pearson's coefficient of skewness is a measure of symmetry and shows the manner in which the items are clustered around the average. In symmetrical distribution, the items show a perfect balance on either side of the mode but in a skew distribution the balance is thrown to one side. In our case the distribution is positively skewed. There are more values below the average than above the average.

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