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Set Q consists of the following five numbers

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Magoosh GMAT Instructor
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Set Q consists of the following five numbers [#permalink] New post 25 Feb 2013, 14:49
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Question Stats:

45% (02:12) correct 55% (01:14) wrong based on 89 sessions
Set Q consists of the following five numbers: Q = {5, 8, 13, 21, 34}. Which of the following sets has the same standard deviation as Set Q?

I. {35, 38, 43, 51, 64}
II. {10, 16, 26, 42, 68}
III. {46, 59, 67, 72, 75}

(A) I only
(B) I & II
(C) I & III
(D) II & III
(E) I, II, & III


For a detailed explanation of everything you need to understand about Standard Deviation for the GMAT, as well as a solution to this particular question, see
http://magoosh.com/gmat/2012/standard-d ... -the-gmat/

Mike :-)
[Reveal] Spoiler: OA

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Mike McGarry
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Re: Set Q consists of the following five numbers [#permalink] New post 25 Feb 2013, 21:36
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mikemcgarry wrote:
Set Q consists of the following five numbers: Q = {5, 8, 13, 21, 34}. Which of the following sets has the same standard deviation as Set Q?

I. {35, 38, 43, 51, 64}
II. {10, 16, 26, 42, 68}
III. {46, 59, 67, 72, 75}

(A) I only
(B) I & II
(C) I & III
(D) II & III
(E) I, II, & III


For a detailed explanation of everything you need to understand about Standard Deviation for the GMAT, as well as a solution to this particular question, see
http://magoosh.com/gmat/2012/standard-d ... -the-gmat/

Mike :-)



Facts about Standard Deviation:
(1) Multiplying all the numbers change Standard Deviation
(2) Adding and subtracting all the numbers with the same number keeps the standard deviation same.
If you observe Set I and III are added versions of Set Q .
Set I: 5 has been added to the Set Q
Set III: Subtract each element from 80 and you would find a number there in the Set Q.
Set II: elements are multiplied by 2 and standard deviation changes.

Hence the answer is C.
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Pushpinder Gill

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Re: Set Q consists of the following five numbers [#permalink] New post 29 Mar 2014, 10:55
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Re: Set Q consists of the following five numbers   [#permalink] 29 Mar 2014, 10:55
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