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Set X and set Y have 10 numbers each. Is standard deviation of set X

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Intern
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Joined: 30 Aug 2017
Posts: 15

Kudos [?]: 10 [0], given: 17

Set X and set Y have 10 numbers each. Is standard deviation of set X [#permalink]

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New post 05 Oct 2017, 07:40
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Question Stats:

51% (00:33) correct 49% (00:25) wrong based on 37 sessions

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Set X and set Y have 10 numbers each. Is standard deviation of set X greater than that of set Y ?
1) Range of set X is greater than that of set Y
2) Median of set X is greater than that of set Y
[Reveal] Spoiler: OA

Kudos [?]: 10 [0], given: 17

Senior Manager
Senior Manager
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P
Joined: 28 May 2014
Posts: 320

Kudos [?]: 190 [0], given: 83

GMAT 1: 730 Q49 V41
GMAT ToolKit User Premium Member
Re: Set X and set Y have 10 numbers each. Is standard deviation of set X [#permalink]

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New post 05 Oct 2017, 08:22
(1) Range can be much larger if there is one or two outliers numbers in a set. But SD is not necessarily has to be bigger. Insuff.

(2) consider the two sets:
set Y = 10, 10, 20, 30, 30
Set X = 20, 20, 30, 40, 40

The SD is same though the median of set X is bigger.

again,
set Y = 10, 10, 20, 30, 30
Set X = 29, 29, 30, 31, 31

The SD is smaller in set X though the median of set X is bigger. Hence, Insuff.

(1) & (2) together also Insuff.
Ans: E.

Kudos [?]: 190 [0], given: 83

Intern
Intern
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B
Joined: 29 Aug 2017
Posts: 35

Kudos [?]: 3 [0], given: 57

Re: Set X and set Y have 10 numbers each. Is standard deviation of set X [#permalink]

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New post 07 Oct 2017, 23:18
Harikrushna Kotadiya wrote:
Set X and set Y have 10 numbers each. Is standard deviation of set X greater than that of set Y ?
1) Range of set X is greater than that of set Y
2) Median of set X is greater than that of set Y



Set X and Set Y have 10 numbers each. Is SD of X > SD of Y?

Statement 1:
This statement is not sufficient because for set X, even though the smallest number and largest number maybe farther than in set Y, the rest of the numbers may be closely cluttered than in set Y.

Statement 2:
Standard deviation does not depend on the actual values of the numbers but the spread of the numbers from the average. Therefore, this statement is not sufficient.

Combining statements 1 and 2 is also not sufficient because it does not give any useful information about the spread of the numbers from the average.

Therefore, answer is E.

Kudos [?]: 3 [0], given: 57

Intern
Intern
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B
Joined: 29 Aug 2017
Posts: 35

Kudos [?]: 3 [0], given: 57

Re: Set X and set Y have 10 numbers each. Is standard deviation of set X [#permalink]

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New post 07 Oct 2017, 23:19
Harikrushna Kotadiya wrote:
Set X and set Y have 10 numbers each. Is standard deviation of set X greater than that of set Y ?
1) Range of set X is greater than that of set Y
2) Median of set X is greater than that of set Y



Set X and Set Y have 10 numbers each. Is SD of X > SD of Y?

Statement 1:
This statement is not sufficient because for set X, even though the smallest number and largest number maybe farther than in set Y, the rest of the numbers may be closely cluttered than in set Y.

Statement 2:
Standard deviation does not depend on the actual values of the numbers but the spread of the numbers from the average. Therefore, this statement is not sufficient.

Combining statements 1 and 2 is also not sufficient because it does not give any useful information about the spread of the numbers from the average.

Therefore, answer is E.

Kudos [?]: 3 [0], given: 57

Re: Set X and set Y have 10 numbers each. Is standard deviation of set X   [#permalink] 07 Oct 2017, 23:19
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Set X and set Y have 10 numbers each. Is standard deviation of set X

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