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Set S: {5, 10, 15} If the number 15 were removed from set S

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GMAT Club Legend
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Set S: {5, 10, 15} If the number 15 were removed from set S [#permalink] New post 28 Jul 2018, 16:21
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Question Stats:

77% (00:11) correct 22% (00:24) wrong based on 9 sessions
Set S: {5, 10, 15}

If the number 15 were removed from set S and replaced with the number 1,000, which of the following values would change?

Indicate all such values.

A. The mean of the set
B. The median of the set
C. The standard deviation of the set
[Reveal] Spoiler: OA

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Re: Set S: {5, 10, 15} If the number 15 were removed from set S [#permalink] New post 11 Aug 2018, 14:10
The median isn't affected by outliers. It would still be 10, as 10 is the middle value. Mean and standard deviation are. So the answer is A and C.
GMAT Club Legend
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Joined: 07 Jun 2014
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Re: Set S: {5, 10, 15} If the number 15 were removed from set S [#permalink] New post 12 Aug 2018, 16:14
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Explanation

The word mean is a synonym for the average. Because an average is calculated by taking the sum of the terms in the set and dividing by the number of numbers in the set, changing any one number in a set (without adjusting the others) will change the sum and, therefore, the average.

The median is the middle number in a set, so making the biggest number even bigger won’t change that (the middle number is still 10). Standard deviation is a measure of how spread out the numbers in a set are—the more spread out the numbers, the larger the standard deviation—so making the biggest number really far away from the others would greatly increase the standard deviation.
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Re: Set S: {5, 10, 15} If the number 15 were removed from set S   [#permalink] 12 Aug 2018, 16:14
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Set S: {5, 10, 15} If the number 15 were removed from set S

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