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

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If two sets of numbers, P and Q, have the same number of [#permalink] New post 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.
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Re: DS - number properties [#permalink] New post 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.


how about the SD?
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Re: DS - number properties [#permalink] New post 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.


how about the SD?


I think SD will be the same..under S1..
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 [#permalink] New post 01 Aug 2006, 21:18
pws wrote:
what is SD?


Standard Deviation.
:btw answer is C.

NOTE: For set of consecutive numbers: mean = median
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 [#permalink] New post 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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  [#permalink] 01 Aug 2006, 21:24
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