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The mean of set S is 20. What is the median of set S? 1. In [#permalink]
16 Feb 2008, 09:08

1

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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

Re: tricky statistics [#permalink]
16 Feb 2008, 18:52

(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.

Re: tricky statistics [#permalink]
16 Feb 2008, 20:00

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).

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