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Standard Deviation of 16, 5, 14, 5, 8, 16

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Sonalika42
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Standard Deviation of 16, 5, 14, 5, 8, 16 [#permalink] New post   31 Aug 2016, 00:07
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87% (00:52) correct 12% (00:03) wrong based on 16 sessions

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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.
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B
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Tapi
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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?
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nainy05
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Re: Standard deviation comparison [#permalink] New post   05 Sep 2017, 12:02
What is the answer?
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IlCreatore
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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 Reply
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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MostofaWahid
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Re: Standard deviation comparison [#permalink] New post   28 Sep 2019, 05:10
Apply, Manhattan 1-6 style, common-uncommon
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bellavarghese
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Re: Standard deviation comparison [#permalink] New post   16 Oct 2019, 12:03
Carcass wrote:
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



thanks for this! My quickest approach was to subtract greatest and smallest value in each set too.
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