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

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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, 06:40
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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
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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, 07:22
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(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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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, 22:18
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.
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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, 22:19
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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.
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Re: Set X and set Y have 10 numbers each. Is standard deviation of set X  [#permalink]

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New post 14 Jun 2019, 22:03
Can anyone please give a more detailed explanation for this Question?

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

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New post 16 Sep 2019, 23:54
What if the option had a) mean of set x is greater than that of set y ,would this option be sufficient ?

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

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New post 31 May 2020, 01:35
MansiRastogi1234 wrote:
What if the option had a) mean of set x is greater than that of set y ,would this option be sufficient ?

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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 .
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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

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