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There are 100 positive integers each in two sets A and B

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Manager
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There are 100 positive integers each in two sets A and B [#permalink] New post 06 Jan 2011, 21:54
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A
B
C
D
E

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  5% (low)

Question Stats:

0% (00:00) correct 100% (00:27) wrong based on 6 sessions
Its a DS question

There are 100 positive integers each in two sets A and B. Standard deviation of which group is less than the other?

A)Range of both the sets is same
B)Mean of set A is greater than the set B.
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Re: standard deviation [#permalink] New post 06 Jan 2011, 23:11
vjsharma25 wrote:
Its a DS question

There are 100 positive integers each in two sets A and B. Standard deviation of which group is less than the other?

A)Range of both the sets is same
B)Mean of set A is greater than the set B.


1) Two sets with same range can have different standard deviation

2) Mean being higher or lower, doesnt tell us about std deviation

1+2) even if same range and and one mean is higher than other, we cant tell which has higher deviation

Answer is (e)
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Re: standard deviation [#permalink] New post 07 Jan 2011, 08:42
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Proposition 1:

Set A: (1, 1, 1, 1, 1, .........100, 100, 100) - Large standard dev, mean is 50
Set B: (1, 50, 50, 50, 50, 50, .....100) - Small standard dev, mean is 50

Insufficient

Proposition 2:

Set A: (1, 1, 1, 1, 1, .........100, 100, 100) - Mean is 50 , Large standard dev
Set B: (1, 49, 49, 49, 49, 49, 49 , .....100) - Mean is 49, small standard dev

Insufficient

Combined - No new information

E
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Re: standard deviation [#permalink] New post 07 Jan 2011, 08:51
Will the answer be different if question stem says that "There are 100 different positive integers "
Re: standard deviation   [#permalink] 07 Jan 2011, 08:51
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There are 100 positive integers each in two sets A and B

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