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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # Set X and set Y have 10 numbers each. Is standard deviation of set X

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Intern  B
Joined: 30 Aug 2017
Posts: 13
Set X and set Y have 10 numbers each. Is standard deviation of set X  [#permalink]

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4 00:00

Difficulty:   55% (hard)

Question Stats: 52% (01:11) correct 48% (00:57) wrong based on 111 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
Current Student V
Joined: 27 May 2014
Posts: 502
GMAT 1: 730 Q49 V41 Re: Set X and set Y have 10 numbers each. Is standard deviation of set X  [#permalink]

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2
(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.
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Intern  B
Joined: 28 Aug 2017
Posts: 34
Re: Set X and set Y have 10 numbers each. Is standard deviation of set X  [#permalink]

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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

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.

Intern  B
Joined: 28 Aug 2017
Posts: 34
Re: Set X and set Y have 10 numbers each. Is standard deviation of set X  [#permalink]

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1
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.

Intern  B
Joined: 09 May 2018
Posts: 29
Location: India
Re: Set X and set Y have 10 numbers each. Is standard deviation of set X  [#permalink]

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Can anyone please give a more detailed explanation for this Question?

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Intern  B
Joined: 06 Jun 2019
Posts: 1
Re: Set X and set Y have 10 numbers each. Is standard deviation of set X  [#permalink]

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What if the option had a) mean of set x is greater than that of set y ,would this option be sufficient ?

Posted from my mobile device
Intern  B
Joined: 03 Jan 2020
Posts: 6
Set X and set Y have 10 numbers each. Is standard deviation of set X  [#permalink]

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MansiRastogi1234 wrote:
What if the option had a) mean of set x is greater than that of set y ,would this option be sufficient ?

Posted from my mobile device

Yes it would still be insufficient.
S.D. depends more on dispersion of value around mean than on mean alone
Example:
X:10,20,30,40,50
Y:10,15,20,25,30
MeanX>MeanY
SDx>SDy

X:28,29,30,31,32
Y:10,15,20,25,30
MeanX>MeanY
SDx<SDy

Hope this would suffice . Set X and set Y have 10 numbers each. Is standard deviation of set X   [#permalink] 31 May 2020, 01:35

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