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. 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 distributed. The mean is greater than the median in data with the right form (10[1])of this property, (10[1])whose distributions have a long right tail. For 10 points, what property describes the asymmetry of a distribution of (10[1])data? ■END■

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