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If set S consists of even number of integers, is the median

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If set S consists of even number of integers, is the median [#permalink]

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New post 18 Sep 2009, 23:08
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A
B
C
D
E

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If set \(S\) consists of even number of integers, is the median of set \(S\) negative?

1. Exactly half of all elements of set \(S\) are positive.
2. The largest negative element of set \(S\) is -1.
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Re: Largest -ve element !! [#permalink]

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New post 19 Sep 2009, 00:27
Economist wrote:
If set \(S\) consists of even number of integers, is the median of set \(S\) negative?

1. Exactly half of all elements of set \(S\) are positive.
2. The largest negative element of set \(S\) is -1.



1=> consider numbers { -10, -2 , 0 , 0 , 1 , 3 } Or {-10, -5 , 1 , 2 }
not suff.

2==> doesn't tells you anything about all the elements.
not suff.

Together => {- 3 , -2, -1, 0, 0, 1 , 2 , 3 }
or {- 3 , -2, -1, 1,2 ,3}
not suff.

So E .
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Re: Largest -ve element !! [#permalink]

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New post 19 Sep 2009, 00:35
Spoilt wrote:
Together => {- 3 , -2, -1, 0, 0, 1 , 2 , 3 }

{- 3 , -2, -1, 0, 0, 1 , 2 , 3} 0 is not positive, half of numbers should be positive

Answer is C:
Median = (the smallest positive number + next smallest number)/2
Worst case scenariot, the smallest positive number is 1 and next smallest number is -1 (no zeros inbetween), median is non-negative.
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Re: Largest -ve element !! [#permalink]

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New post 19 Sep 2009, 04:53
This question has already been discussed here
ds-set-14343.html

The answer is C, as set consists of only 2 elements(because stmt1 states hals of the elements are positive and stmt2 gives the info that the largest -ve element is -1). The point is that question asks whether set has a negative median or not. In case(-1;1) median is 0, thus it is not negative nor positive. suff. in set (-1;2) median is always positive. suff.
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Re: Largest -ve element !!   [#permalink] 19 Sep 2009, 04:53
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If set S consists of even number of integers, is the median

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