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[Solved] Mean median mode range

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For the set of numbers {20, 14, 19, 12, 17, 20, 24}, let x equal the median, v equal the mean, w equal the mode, and y equal the range. Which of the following is true?

A) v < w < x < y
B) v < x < w < y
C) y < v < w < x
D) y < v < x < w
E) w < y < v < x

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Do the easy calculations first: The median x=19, and the only recurring number, 20, is mode w. The range y = 24 - 12 = 12.

The only answer choice in which y<x<w is (D), so we don't have to calculate the mean after all.

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