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# If two sets of numbers, P and Q, have the same number of

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Intern
Joined: 16 Jul 2006
Posts: 14
Location: New Orleans
If two sets of numbers, P and Q, have the same number of [#permalink]

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01 Aug 2006, 17:46
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If two sets of numbers, P and Q, have the same number of elements, is the mean of set Q lower than the mean of set P?

1) Set Q consists of consecutive even integers and set P of consecutive odd integers.

2) The median of set Q is higher than the mean of set P.
VP
Joined: 29 Dec 2005
Posts: 1341
Re: DS - number properties [#permalink]

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01 Aug 2006, 18:44
pws wrote:
If two sets of numbers, P and Q, have the same number of elements, is the mean of set Q lower than the mean of set P?

1) Set Q consists of consecutive even integers and set P of consecutive odd integers.
2) The median of set Q is higher than the mean of set P.

C works for mean.

Senior Manager
Joined: 22 May 2006
Posts: 368
Location: Rancho Palos Verdes
Re: DS - number properties [#permalink]

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01 Aug 2006, 18:51
Professor wrote:
pws wrote:
If two sets of numbers, P and Q, have the same number of elements, is the mean of set Q lower than the mean of set P?

1) Set Q consists of consecutive even integers and set P of consecutive odd integers.
2) The median of set Q is higher than the mean of set P.

C works for mean.

I think SD will be the same..under S1..
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CEO
Joined: 20 Nov 2005
Posts: 2894
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008

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01 Aug 2006, 21:18
pws wrote:
what is SD?

Standard Deviation.

NOTE: For set of consecutive numbers: mean = median
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SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Senior Manager
Joined: 06 Jul 2004
Posts: 468
Location: united states

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01 Aug 2006, 21:24
If two sets of numbers, P and Q, have the same number of elements, is the mean of set Q lower than the mean of set P?

1) Set Q consists of consecutive even integers and set P of consecutive odd integers.

2) The median of set Q is higher than the mean of set P.

According to 1st

let's Q = {2,4,6,8,10,12,14}
so P = {1,3,5,7,9,11,13,} OR
P = {3,5,7,9,11,13,15}

1st is insufficient.

According to 2nd, the median of Q is higher than the mean of P. It still is inconclusive.

2nd if insufficient.

However, if we combine both the statements, we'll see that P = {1,3,5,7,9,11,13}. hence C.
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01 Aug 2006, 21:24
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