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Is the median of set S even?

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Is the median of set S even? [#permalink] New post 07 Feb 2012, 13:59
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Is the median of set S even?

1. Set S is composed of consecutive odd integers
2. The mean of set S is even

Can someone please explain the correct approach for this one?
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Re: club 13 - q1 [#permalink] New post 07 Feb 2012, 14:04
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teal wrote:
Is the median of set S even?

1. Set S is composed of consecutive odd integers
2. The mean of set S is even

Can someone please explain the correct approach for this one?


Is the median of set S even?

(1) Set S is composed of consecutive odd integers --> set S is evenly spaced --> for any every evenly spaced set mean=median. But still insufficient.

(2) The mean of set S is even. Insufficient on its own.

(1)+(2) From (1) mean=median and from (2) mean=even --> mean=median=even. Sufficient.

Answer: C.

Hope it helps.
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Re: Is the median of set S even? [#permalink] New post 07 Feb 2012, 14:44
can you please give me an example of a set in which mean is even and median is odd for statement 2?
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Re: Is the median of set S even? [#permalink] New post 07 Feb 2012, 14:46
teal wrote:
can you please give me an example of a set in which mean is even and median is odd for statement 2?


Sure: {1, 1, 4} --> mean=(1+1+4)/3=2=even and median=1=odd.
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PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!!

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!


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Re: Is the median of set S even?   [#permalink] 07 Feb 2012, 14:46
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