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# M19 Q23

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Manager
Joined: 18 Oct 2008
Posts: 196
Followers: 1

Kudos [?]: 21 [0], given: 11

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22 Jul 2010, 09:35
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 $$S$$ .
Manager
Joined: 16 Apr 2010
Posts: 221
Followers: 4

Kudos [?]: 108 [0], given: 12

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23 Jul 2010, 01:30
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
Intern
Status: Obsessed with failure!
Joined: 29 May 2011
Posts: 28
Location: India
Concentration: General Management, Marketing
GMAT 1: 630 Q47 V29
GMAT 2: 540 Q41 V23
GMAT 3: 610 Q39 V35
WE: Programming (Computer Software)
Followers: 0

Kudos [?]: 12 [0], given: 29

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14 Feb 2012, 05:27
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?
_________________

Character is what you have left when you've lost everything you can lose!

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

Re: M19 Q23   [#permalink] 14 Feb 2012, 05:27
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# M19 Q23

Moderator: Bunuel

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