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# Which set(s) has the largest standard deviation?

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VP
Joined: 17 Feb 2010
Posts: 1480

Kudos [?]: 732 [0], given: 6

Which set(s) has the largest standard deviation? [#permalink]

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29 Aug 2010, 16:43
00:00

Difficulty:

25% (medium)

Question Stats:

81% (00:27) correct 19% (00:01) wrong based on 16 sessions

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Which set(s) has the largest standard deviation?

1. Set 1 consisting of 10 digits
2. Set 2 consisting of 10 first positive consecutive even numbers
3. Set 3 consisting of 10 first primes

 set 1
 set 2
 set 3
 sets 1 and 2
 none

I did not understand why Set 1 is not the correct answer especially when nothing is known about Set 1. The digits in Set 1 can be even farther than the set consisting 10 forst primes. I think I am missing something?
[Reveal] Spoiler: OA

Kudos [?]: 732 [0], given: 6

Ms. Big Fat Panda
Status: Three Down.
Joined: 09 Jun 2010
Posts: 1916

Kudos [?]: 2181 [0], given: 210

Concentration: General Management, Nonprofit
Re: Which set(s) has the largest standard deviation? [#permalink]

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29 Aug 2010, 17:09
I think that when the term "digit" is used, it represents a single digit number, because you don't refer to bigger numbers as "digits".

Thus it might be prudent to conclude that the first set contains 10 single digit numbers. This might help in the reasoning better.

Kudos [?]: 2181 [0], given: 210

Manager
Joined: 16 Feb 2010
Posts: 220

Kudos [?]: 352 [0], given: 16

Re: Which set(s) has the largest standard deviation? [#permalink]

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29 Aug 2010, 17:24
seekmba wrote:
Which set(s) has the largest standard deviation?

1. Set 1 consisting of 10 digits
2. Set 2 consisting of 10 first positive consecutive even numbers
3. Set 3 consisting of 10 first primes

 set 1
 set 2
 set 3
 sets 1 and 2
 none

I did not understand why Set 1 is not the correct answer especially when nothing is known about Set 1. The digits in Set 1 can be even farther than the set consisting 10 forst primes. I think I am missing something?

sd is the DISPRESION of the terms....
the distance between SET 1 and 2 is fixed therefore the dispression is fixed....
but for set 3, the distance between terms vary, therefore more dispression therefore more SD

hope it helps

Kudos [?]: 352 [0], given: 16

VP
Joined: 17 Feb 2010
Posts: 1480

Kudos [?]: 732 [0], given: 6

Re: Which set(s) has the largest standard deviation? [#permalink]

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29 Aug 2010, 19:09
But whiplash2411 the question says "Set 1 consisting of 10 digits"....I dont see "digit" only.

Kudos [?]: 732 [0], given: 6

Ms. Big Fat Panda
Status: Three Down.
Joined: 09 Jun 2010
Posts: 1916

Kudos [?]: 2181 [0], given: 210

Concentration: General Management, Nonprofit
Re: Which set(s) has the largest standard deviation? [#permalink]

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29 Aug 2010, 20:09
No, what I meant was digit/digits usually refer to single digits when used in the context above.

Kudos [?]: 2181 [0], given: 210

CEO
Status: Nothing comes easy: neither do I want.
Joined: 12 Oct 2009
Posts: 2764

Kudos [?]: 1856 [0], given: 235

Location: Malaysia
Concentration: Technology, Entrepreneurship
Schools: ISB '15 (M)
GMAT 1: 670 Q49 V31
GMAT 2: 710 Q50 V35
Re: Which set(s) has the largest standard deviation? [#permalink]

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29 Aug 2010, 20:38
whiplash2411 wrote:
No, what I meant was digit/digits usually refer to single digits when used in the context above.

It should be digit only for a 10 digit number. I think this question is poorly written.

SeekMba: what is the source?
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Kudos [?]: 1856 [0], given: 235

Director
Status: Apply - Last Chance
Affiliations: IIT, Purdue, PhD, TauBetaPi
Joined: 18 Jul 2010
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Kudos [?]: 168 [0], given: 15

Schools: Wharton, Sloan, Chicago, Haas
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Re: Which set(s) has the largest standard deviation? [#permalink]

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29 Aug 2010, 20:41
1. This set probably has digits 0..9. The max STD Dev possible here is if the set has 0 and 9s half and half I guess..
2. STD =0
3. [ 3 5 7 11 13 17 19 23 29 31]
max sd

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Senior Manager
Joined: 14 Jun 2010
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Re: Which set(s) has the largest standard deviation? [#permalink]

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30 Aug 2010, 05:51
Even i took the Q as what mainhoon said...First 10 digits (0 to 9)

Kudos [?]: 24 [0], given: 7

Re: Which set(s) has the largest standard deviation?   [#permalink] 30 Aug 2010, 05:51
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