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# The mean of set S is 20. What is the median of set S? 1. In

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The mean of set S is 20. What is the median of set S? 1. In [#permalink]

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16 Feb 2008, 10:08
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The mean of set S is 20. What is the median of set S?
1. In set S there are as many numbers bigger than 20 as there are numbers smaller than 20
2. All numbers in set S are even integers

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SVP
Joined: 29 Aug 2007
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16 Feb 2008, 19:37
marcodonzelli wrote:
The mean of set S is 20. What is the median of set S?

1. In set S there are as many numbers bigger than 20 as there are numbers smaller than 20
2. All numbers in set S are even integers

A. Median is 20 as it is in the middle.
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Manager
Joined: 28 Dec 2007
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16 Feb 2008, 19:52
(1) It is possible that this could imply the median is 20 (and therefore known): i.e. S={17,18,19,21,22,23} median=20
But it is also possible that it could be something else: i.e. S= {2,5,12,21,22,23} median =(12+21)/2=33/2
Not suff.

(2) All numbers in S are even...definitely not suff. by itself.

(1) U (2): there are an equal number of even integers less than 20 and even integers greater than 20 in S.
ex. 1 S={16,18,22,24) median =20
ex. 2 S={2,4,22,24} median = (4+22)/2 = 13
Not suff.

I think it's (E).

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SVP
Joined: 29 Aug 2007
Posts: 2472

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16 Feb 2008, 21:00
jankynoname wrote:
(1)  It is possible that this could imply the median is 20 (and therefore known):  i.e. S={17,18,19,21,22,23}  median=20     But it is also possible that it could be something else:  i.e. S= {2,5,12,21,22,23} median =(12+21)/2=33/2   Not suff.

(2)  All numbers in S are even...definitely not suff. by itself.  (1) U (2):  there are an equal number of even integers less than 20 and even integers greater than 20 in S.              ex. 1 S={16,18,22,24) median =20              ex. 2 S={2,4,22,24} median = (4+22)/2 = 13        Not suff.I think it's (E).

yup. you are correct.

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Re: tricky statistics   [#permalink] 16 Feb 2008, 21:00
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