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Standard deviation comparison

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Manager
Manager
Joined: 12 Jan 2016
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Standard deviation comparison [#permalink] New post 31 Aug 2016, 00:07
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Question Stats:

100% (00:26) correct 0% (00:00) wrong based on 3 sessions
Quantity A
Quantity B
Standard Deviation of 16, 5, 14, 5, 8, 16
Standard Deviation of 6, 8, 18, 14, 18, 8




A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA
Intern
Intern
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Re: Standard deviation comparison [#permalink] New post 31 Aug 2016, 06:56
Can someone explain how to approach questions like this?
Intern
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Re: Standard deviation comparison [#permalink] New post 05 Sep 2017, 12:02
What is the answer?
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Director
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Re: Standard deviation comparison [#permalink] New post 16 Sep 2017, 23:20
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I don't know if this is the fastest way to do it but I've used the "informal definition" of standard deviation of Greenlight Test Prep, i.e. the standard deviation is the mean of the distance of data values from the mean. Thus, we have that column A has a mean of 32/2 = 10.67 and column B has a mean of 12. Then, computing the distance for each value from the mean I get that the approximate standard deviation of column A is equal to 4.44, while for column B it is 4.67. Thus, the answer is B!
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Re: Standard deviation comparison [#permalink] New post 18 Sep 2017, 05:42
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Expert's post
Put is simple case

A. 5 8 14 16

B. 6 8 14 18

The middle terms are negligible (are the same).

A. 16-5=11

B. 18-6=12

Answer is B
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Re: Standard deviation comparison   [#permalink] 18 Sep 2017, 05:42
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Standard deviation comparison

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