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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
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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16 Feb 2008, 19:37
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marcodonzelli
A. Median is 20 as it is in the middle.
16 Feb 2008, 19:52
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(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).
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).
