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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.

    © BrainMass Inc. brainmass.com December 24, 2021, 5:03 pm ad1c9bdddf
    https://brainmass.com/business/business-management/carl-pearsons-coefficient-skewness-24580

    SOLUTION This solution is FREE courtesy of BrainMass!

    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.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 5:03 pm ad1c9bdddf>
    https://brainmass.com/business/business-management/carl-pearsons-coefficient-skewness-24580

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