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Set A: {−7, −4, −1, 0, 5, 8, 10, 10, 13, 21} In Set A above,

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GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Set A: {−7, −4, −1, 0, 5, 8, 10, 10, 13, 21} In Set A above, [#permalink] New post 08 Dec 2017, 20:47
Expert's post
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Question Stats:

50% (00:00) correct 50% (09:32) wrong based on 2 sessions
Set A: {−7, −4, −1, 0, 5, 8, 10, 10, 13, 21}
In Set A above, if positive integer x is subtracted from the 3 largest numbers in the list and x is added to the 3 smallest even numbers in the list, which of the following will be true ?

A. The average of the set will increase by x.
B. The average of the set will decrease by x.
C. The average of the set will stay the same.
D. There will be no mode in the new set.
E. The standard deviation of the set will stay the same.
F. The median of the set will stay the same.
G. The median of the set will increase by x.

Drill 3
Question: 7
Page: 529

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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1650 [0], given: 396

CAT Tests
Re: Set A: {−7, −4, −1, 0, 5, 8, 10, 10, 13, 21} In Set A above, [#permalink] New post 29 Dec 2017, 15:18
Expert's post
Explanation

There are variables in the answer choices, so Plug In.

Try x = 3. Now write out your new set of numbers. Since you are subtracting 3 and adding 3 the same number of times, the sum and average stay the same, so eliminate choices (A) and (B). The median decreases by 0.5, so eliminate choices (F) and (G). There are now two modes in the set, so eliminate choice (D).

The distance of the numbers from the mean changes in the new set, so the standard deviation is not the same. Eliminate choice (E). The correct answer is choice C.
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Re: Set A: {−7, −4, −1, 0, 5, 8, 10, 10, 13, 21} In Set A above,   [#permalink] 29 Dec 2017, 15:18
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Set A: {−7, −4, −1, 0, 5, 8, 10, 10, 13, 21} In Set A above,

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