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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] New post 18 Sep 2009, 22:08
00:00
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] New post 18 Sep 2009, 23:27
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] New post 18 Sep 2009, 23:35
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] New post 19 Sep 2009, 03:53
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, 03:53
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If set S consists of even number of integers, is the median

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