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# Which of the following values of n when added to the list of numbers:

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Manager
Joined: 29 Oct 2019
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Which of the following values of n when added to the list of numbers:  [#permalink]

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05 Feb 2020, 03:25
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58% (01:16) correct 42% (01:24) wrong based on 31 sessions

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Which of the following values of n when added to the list of numbers: 8, 16, 18 and 22, would result in a new set of five numbers that would have the least possible of standard deviation?

(A) -16

(B) 0

(C) 16

(D) 17

(E) 18

Source: GMAT Quantum Math Course
Manager
Joined: 27 Jun 2015
Posts: 70
GRE 1: Q158 V143
Re: Which of the following values of n when added to the list of numbers:  [#permalink]

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05 Feb 2020, 10:18
When a number Equal to mean is added to a list of number then it causes no change in standard deviation
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Joined: 08 Jan 2020
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05 Feb 2020, 12:21
Which of the following values of n when added to the list of numbers: 8, 16, 18 and 22, would result in a new set of five numbers that would have the least possible of standard deviation?

For this question, we are looking for the value of n that gives the least possible standard deviation. This means that we are looking for a value for n that deviates the least from the mean. In this case, the mean of the set of 8,16,18 and 22 is (8+16+18+22)/4 = 16. So, the number that would cause the least possible standard deviation would be a number closest to the mean (a number that is the same is the mean would cause no change in standard deviation at all). In this case, the answer must be 16.

(A) -16

(B) 0

(C) 16

(D) 17

(E) 18
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Re: Which of the following values of n when added to the list of numbers:  [#permalink]

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09 Feb 2020, 05:16
sjuniv32 wrote:
Which of the following values of n when added to the list of numbers: 8, 16, 18 and 22, would result in a new set of five numbers that would have the least possible of standard deviation?

(A) -16

(B) 0

(C) 16

(D) 17

(E) 18

Source: GMAT Quantum Math Course

The mean of the given list is 64/4 = 16.

Thus, when 16 is added to the list, the standard deviation will decrease.

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Re: Which of the following values of n when added to the list of numbers:   [#permalink] 09 Feb 2020, 05:16
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