Set W consists of all even integers between 2 and 100, inclusive. Set X is derived by reducing each term in set W by 50, set Y is derived by multiplying each term in set W by 1.5, and set Z is derived by dividing each term in set W by -4. Which of the following represents the ranking of the three sets in descending order of standard deviation?	Answers:
A) X, Y, Z B) X, Z, Y C) Y, Z, X D) Y, X, Z E) Z, Y, X
Set W - {2, 4, ..., 100};   Set X - {-48, -46, ..., 50};   Set Y - {3, 6, ..., 150};   Set Z - {-2/4, -4/4, ..., -100/4} = {-1/2, -1, -3/2, ..., -25}.   If we add or subtract a constant to each term in a set the SD will not change, so sets W and X will have the same SD.   If we increase or decrease each term in a set by the same percent (multiply by a constant) the SD will increase or decrease by the same percent, so set Y will have 1.5 times greater SD than set W and set Z will have 4 times less SD than set W (note SD can not be negative so SD of Z wil be SD of W divided by 4 not by -4).   So, the ranking of SD's in descending order is: Y, W=X, Z.   Answer: Y, X, Z.
<result>D</result>
Set W consists of all even integers between 2 and 100, inclusive. Set X is derived by reducing each term in set W by 50, set Y is derived by multiplying each term in set W by 1.5, and set Z is derived by dividing each term in set W by -4. Which of the following represents the ranking of the three sets in descending order of standard deviation?