Round 8: Tossup 15

Nonlinearity, heteroscedasticity, and this property are decreased by Box-Cox transforms. A quantity named for this property is obtained from the third derivative of the moment-generating function of a random variable X. (15[1])The extent of this property is given by “3 times the difference between the (*) mean and median, all over the standard deviation.” Log transformations make data with this property more normally (10[1])distributed. The mean is greater than the median in data with the right form of this property, (10[1])whose distributions have a long right tail. For 10 points, what property describes the asymmetry of a distribution of data? ■END■

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