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# median of combined grps

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Current Student
Joined: 11 May 2008
Posts: 551

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04 Sep 2008, 03:13
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The median of Set S and T are 12 and 18, respectively. When S and T are combined, is the median of new set greater than the greatest number in Set S?
(1) The range of Set S is 6.
(2) The range of Set T is 6.

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VP
Joined: 17 Jun 2008
Posts: 1474
Re: median of combined grps  [#permalink]

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04 Sep 2008, 03:35
E.

Obviously Stmt1 and Stmt2 independently are insufficient.

Combining both,
If set S containt 6,12,12 and set T contains 12,18, 18 then...the median of combined set will be equal to the largest element of S. Or, if S contains 12, 12, 18 and T contains 12, 18,18 then median of combined set will be less than the largest element of S.
Manager
Joined: 15 Jul 2008
Posts: 205
Re: median of combined grps  [#permalink]

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04 Sep 2008, 05:51
arjtryarjtry wrote:
The median of Set S and T are 12 and 18, respectively. When S and T are combined, is the median of new set greater than the greatest number in Set S?
(1) The range of Set S is 6.
(2) The range of Set T is 6.

I think E. To determine the median of the combined set, you need the sample size. Neither statement provides that. Even combined does not provide the number of elements in the new set.
Senior Manager
Joined: 16 Jul 2008
Posts: 279
Re: median of combined grps  [#permalink]

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04 Sep 2008, 06:03
Another vote for E as well. But it took me too much time to pick the numbers, combine sets and medians. Is there a 'smart' way to solve this?

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Re: median of combined grps &nbs [#permalink] 04 Sep 2008, 06:03
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