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25 August, 19:33

A large oil company is studying the number of gallons of gasoline purchased per customer at self-service pumps. The mean number of gallons is 10.0, with a standard deviation of 3.0 gallons. The median is 10.75 gallons. What is Pearson's coefficient of skewness in this instance?-1.00-0.75+0.75+1.00

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  1. 25 August, 22:59
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    Sk = - 0.75

    Explanation:

    The skewness measures the shape of the set data, specifically compares it with a normal distribution. If the coefficient high, the set data distribution differs from a normal distribution

    The Person's skewness coefficient formula is:

    Sk = 3 * (Mean-Median) / (standard deviation)

    For this problem:

    Sk = 3 * (10-10.75) / 3

    Sk = 3 * (-0.75) / 3

    Sk = - 0.75

    In this case, the distribution is negative skewed.
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