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6 January, 23:39

In a data distribution, the first quartile, the median and the means are 30.8, 48.5 and 42.0 respectively. If the coefficient skewness is - 0.38

What is the appropriate value of the third quartile

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  1. 7 January, 02:50
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    56.45

    Step-by-step explanation:

    Coefficient skewness = (Third quartile + first quartile) - n*Median/Third quartile-first quartile

    Third quartile is the unknown?

    First quartile is 30.8

    n is the number of steps taken from first quartile to reach third quartile which is 2 steps.

    coefficient skewness is - 0.38

    let p represent third quartile

    -0.38 = (p+30.8) - 2 (48.5) / p-30.8

    by cross multiplication

    -0.38 (p-30.8) = (p+30.8) - 97

    -0.38p + 11.704 = p+30.8-97

    -0.38p-p=30.8-97-11.704

    -1.38p=-77.904

    p=-77.904 / -1.38 = 56.45
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