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Intern
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set S consists of 5 consecutive integers, and set T consists [#permalink]
 16 Sep 2006, 20:32
set S consists of 5 consecutive integers, and set T consists of seven consecutive integers. Is the median of the numbers in set S equal to the median of the numbers in set T?
1) the median of the numbers in set S is 0
2) the sum of the numbers in set S is equal to the sum of the numbers in set T.
**the answer is (c); however, doesnt statement 2 give u all the info necessary. The only way where set S and Set T add up to the same number (given that they both consist of consecutive integers) is if they are centered at zero. Am I wrong? or is the question wrong? someone please help
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St1: S = {-2,-1,0,1,2}. No info about T.
St2:
Median equal for S = {-2,-1,0,1,2} T = {-3,-2,-1,0,1,2,3}
Median not equal for S = (5,6,7,8,9} T = {2,3,4,5,6,7,8}: INSUFF
Together:
S = {-2,-1,0,1,2} T = {-3,-2,-1,0,1,2,3} must be true.
Medians are equal.
my answer is C
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VP
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C should be it
We know 1 isnt sufficient
From 2) take a sets like
T as {2,3,4,5,6,7,8} and S as {5,6,7,8,9}
Medians are different and so we need 1) to make sure that the medians are same
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Senior Manager
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Re: another gmat prep question--- data sufficiency [#permalink]
17 Sep 2006, 10:27
cejismundo wrote: **the answer is (c); however, doesnt statement 2 give u all the info necessary. The only way where set S and Set T add up to the same number (given that they both consist of consecutive integers) is if they are centered at zero. Am I wrong? or is the question wrong? someone please help
if the median of a set of 5 consecutive integers is 0 then 0 must be the center (given that there is an odd amount), therefore sum{S} = 0, if sum{T} = sum{S} = 0, it must also center at 0 and therefore median{T} = 0.
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Re: another gmat prep question--- data sufficiency
[#permalink]
17 Sep 2006, 10:27
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close
