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 of this property, (10[2])whose distributions (10[2])have a long right tail. For 10 points, what property (10[1])describes the asymmetry of a distribution of data? ■END■

ANSWER: skewness [accept word forms like skewed data; accept right skewed or left skewed; prompt on answers like non-normally distributed or equivalents]
<Science - Math, Rohan Kher> | VAULT II Packet 08
= Average correct buzzpoint

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