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# What is the difference between the standard deviation of two five memb

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Joined: 05 Jun 2014
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What is the difference between the standard deviation of two five memb  [#permalink]

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Updated on: 08 Jan 2015, 07:38
1
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Difficulty:

25% (medium)

Question Stats:

74% (00:52) correct 26% (00:41) wrong based on 130 sessions

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What is the difference between the standard deviation of two five member sets A and B ?

(1) Set A consists of consecutive multiples of 3.
(2) Set B consists of consecutive multiples of 5.

Originally posted by sunaimshadmani on 08 Jan 2015, 07:30.
Last edited by Bunuel on 08 Jan 2015, 07:38, edited 1 time in total.
Edited the question and added the OA.
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Posts: 61385
Re: What is the difference between the standard deviation of two five memb  [#permalink]

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08 Jan 2015, 07:38
1
What is the difference between the standard deviation of two five member sets A and B ?

(1) Set A consists of consecutive multiples of 3.
(2) Set B consists of consecutive multiples of 5.

Similar question to practice: is-the-standard-deviation-of-set-a-is-greater-than-standard-161743.html
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Re: What is the difference between the standard deviation of two five memb  [#permalink]

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08 Jan 2015, 12:36
1

As a math subject, Standard Deviation comes from the broader category of statistics. It's essentially about how "spread out" a group of individual numbers is, relative to the average of that group. In real life, calculating the Standard Deviation of a group of numbers involves a big calculation (and you probably would NOT want to do that calculation by hand). Thankfully, the GMAT will NEVER ask you to actually calculate the Standard Deviation of a group of numbers. You're likely to be tested on the CONCEPT though.

In this DS question, we're told that there are two sets of numbers (with 5 numbers in each set). We're asked for the difference in the Standard Deviations of 2 sets of numbers.

Fact 1: Set A consists of consecutive multiples of 3.

The Set {3, 6, 9, 12, 15} would have the same SD as any other set of 5 consecutive multiples of 3 (for example {51, 54, 57, 60, 63}0, so we COULD figure out the SD of this set, but we don't know the SD of the Set B.
Fact 1 is INSUFFICIENT

Fact 2: Set B consists of consecutive multiples of 5.

This is the same situation as in Fact 1 above (we would just be using consecutive multiples of 5), but we don't know the SD of Set A.
Fact 2 is INSUFFICIENT

Combined, we know we have...
Set A = 5 consecutive multiples of 3
Set B = 5 consecutive multiples of 5
We COULD calculate the difference in the two SDs!
Combined, SUFFICIENT.

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Re: What is the difference between the standard deviation of two five memb  [#permalink]

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21 Jun 2017, 21:47
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Re: What is the difference between the standard deviation of two five memb   [#permalink] 21 Jun 2017, 21:47
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