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

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SVP
Joined: 17 Feb 2010
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Which set(s) has the largest standard deviation? [#permalink]

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29 Aug 2010, 16:43
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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
Ms. Big Fat Panda
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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.
Manager
Joined: 16 Feb 2010
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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
SVP
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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.
Ms. Big Fat Panda
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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.
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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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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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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)
Re: Which set(s) has the largest standard deviation?   [#permalink] 30 Aug 2010, 05:51
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