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M19 Q23

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Manager
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M19 Q23 [#permalink] New post 22 Jul 2010, 08:35
If set T was derived from set S when all elements of set S were multiplied by 2, is the median of set T greater than that of set S ?

1. All elements of set S are positive
2. The median of set S is positive

Please explain, OE is confusing me!

[Reveal] Spoiler:
The median of a set is either an element from the set or the average of two elements from the set. This means that if all elements of the set are multiplied by 2, its median will also be multiplied by 2.

Statement (1) by itself is sufficient. The median of set S is positive. Thus, the median of set T is greater than that of set S .

Statement (2) by itself is sufficient. The median of set S is positive. Thus, the median of set T is greater than that of set S .
The correct answer is D.
Manager
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Re: M19 Q23 [#permalink] New post 23 Jul 2010, 00:30
Hi

Condition 1 = set S has positive elements
Consider set S = { 1 2 3 4 5 } then set T = { 2 4 6 8 10 }
median of set S = 3 < median of set T = 6

Condition 2 = set S has positive median
Consider set S = { -2 -3 1 2 3 } then set T = { -4 -6 2 4 6 }
median of set S = 1 < median of set T = 2

In general, the elements of set T = 2* elements of set S.
If median of S > 0, then median of T>S>0
If median of S < 0, then median of T<S<0

Hope this is clear to you now.

regards,
Jack
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Re: M19 Q23 [#permalink] New post 14 Feb 2012, 04:27
Hey guys,

I need a clarification on the wording of the question:

when the Q stem says the set T was derived from the set S when elements of the set 'S' were multiplied by 2, can we consider set T to be a subset of set 'S'.

can someone plz clarify whether 'derived' in here can qualify for meaning 'subset' of a set?
_________________

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Obliterated into oblivion 630 -> 540 -> A Big SOS!

Re: M19 Q23   [#permalink] 14 Feb 2012, 04:27
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M19 Q23

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