Question:

Some Math Statistical Question.?

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An automobile dealership pays its salespeople a salary plus a commission on sales. The mean biweekly commission is $1385, the median $1330, and the standard deviation $75.

a. Is the distribution of commissions positively skewed, negatively skewed, or

symmetrical?

b. Compute the coefficient of skewness to verify your answer.

Pls help me, i will provide BA.

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  1. a. ANSWER: "positively skewed"

    Why??

    MEAN = SUM / TOTAL,    MEDIAN = POINT WHERE HALF ARE LESS AND HALF ARE MORE.  MEDIAN = $1330 is point where 1/2 (salary + commission) below and 1/2 above.  MEDIAN < MEAN and the "right tail" is longer with the "mass" of the distribution concentrated on the left so distribution is "positively skewed"

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