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# If two sets of numbers P & Q have equal number of

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If two sets of numbers P & Q have equal number of [#permalink]  25 Jul 2008, 00:06
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If two sets of numbers P & Q have equal number of elements, is mean of set Q lower than mean of P?

st1: Set Q contains consecutive even integers and Set P consecutive Odd integers
St2: Median of Q is greater than Mean of P.
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Re: DS Que: [#permalink]  25 Jul 2008, 00:45
iamcartic wrote:
If two sets of numbers P & Q have equal number of elements, is mean of set Q lower than mean of P?

st1: Set Q contains consecutive even integers and Set P consecutive Odd integers
St2: Median of Q is greater than Mean of P.

Statement 1) is inconclusive since consecutive odd and even integers set depend what is starting number

Statement 2) is again inconclusive since Median can be greater than Mean of other set but that doesnt mean that Mean is lower.

Combining 1) and 2) gives you Q as set of consec. even integers and P as set of consec. odd integers. Also Median of Q is greater than Median of P

Lets consider odd number of elements in set which satisfy above conditions

P = {1,3,5,7,9 } Q = {2,4,6,8,10}

Lets consider even number of elements in each set

P = {1,3,5,7,9,11} Q = {2,4,6,8,10,12}

Both gives answer that mean of Q is greater then mean of P if median of Q is greater then mean of P.

Re: DS Que:   [#permalink] 25 Jul 2008, 00:45
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