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Set Q consists of the following five numbers

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Set Q consists of the following five numbers [#permalink]

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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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New post 25 Feb 2013, 22:36
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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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Re: Set Q consists of the following five numbers [#permalink]

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New post 06 Sep 2016, 10:48
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Keats wrote:
Bunuel Can you help us with a way as to how do we tackle such questions?

Dear Keats,
I see that the genius Bunuel answered your request briefly.

I will echo his concern. My friend, one of the habits of excellence is asking excellent questions. When you ask a vague one-line question, the presupposition behind that question is that responsibility for the process of education lies with the expert asked, in this case, Bunuel. In fact, 100% of the responsibility for your learning lies with you. One tangible way to demonstrate this responsibility is to ask thorough and detailed questions that make explicitly clear exactly what you understand and exactly what you don't understand. See:
Asking Excellent Questions

Wishing you excellence, my friend.

Mike :-)
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Re: Set Q consists of the following five numbers [#permalink]

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New post 29 Mar 2014, 11:55
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Re: Set Q consists of the following five numbers [#permalink]

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New post 25 Sep 2015, 09:34
Hello from the GMAT Club BumpBot!

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Re: Set Q consists of the following five numbers [#permalink]

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New post 06 Sep 2016, 04:26
Bunuel Can you help us with a way as to how do we tackle such questions?
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Re: Set Q consists of the following five numbers [#permalink]

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New post 06 Sep 2016, 04:47
Re: Set Q consists of the following five numbers   [#permalink] 06 Sep 2016, 04:47
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