For the set of numbers $\{20,14,19,12,17,20,24\},$ let $x$ equal the median, $v$ equal the mean, $w$ equal the

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VJesus12: Legendary Member; Posts: 2276; Joined: Sat Oct 14, 2017 6:10 amFollowed by: 3 members

by VJesus12 » Fri Sep 04, 2020 6:02 am

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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. $w<y<v<x$

Answer: D

Source: Princeton Review

Source: Beat The GMAT — Problem Solving | Fri Sep 04, 2020 6:02 am

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Re: For the set of numbers $\{20,14,19,12,17,20,24\},$ let $x$ equal the median, $v$ equal the mean, $w$ equal t

by Scott@TargetTestPrep » Wed Sep 09, 2020 1:40 pm

VJesus12 wrote: ↑
Fri Sep 04, 2020 6:02 am
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. $w<y<v<x$

Answer: D

Solution:

In ascending order, the numbers are: 12, 14, 17, 19, 20, 20, 24.

Since x is the median, x = 19.

Since v is the mean, v = (12+14+17+19+20+20+24) / 7 = 18.

Since w is the mode, w = 20.

Since y is the range, y = 24 - 12 = 12.

We see that y < v < x < w.

Answer: D

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