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Three people have $32, $72,

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Intern
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Three people have $32, $72, [#permalink] New post 15 Oct 2018, 11:46
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Question Stats:

42% (00:48) correct 57% (01:20) wrong based on 14 sessions
Three people have $32, $72, and $98, respectively. If they pool their money then redistribute it among themselves, what is the maximum possible value for the median amount of money?

(A) $72
(B) $85
(C) $98
(D) $101
(E) $202
[Reveal] Spoiler: OA

Last edited by Carcass on 16 Oct 2018, 09:15, edited 1 time in total.
Edited by Carcass
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Re: statisics 2 [#permalink] New post 16 Oct 2018, 07:11
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ruposh6240 wrote:
29. Three people have $32, $72, and $98, respectively. If they pool their money then redistribute it
among themselves, what is the maximum possible value for the median amount of money?
(A) $72
(B) $85
(C) $98
(D) $101
(E) $202


$32 + $72 + $98 = $202, so we must distribute $202 among the 3 people.

To maximize the median, we must minimize the smallest value.
So, let's say one person receives $0
This means the remaining $202 is distributed between the 2 remaining people.
We can now maximize the median by splitting the $202 evenly.
So, each person receives $101, $101

So, the 3 amounts are $0, $101 and $101

Answer: D

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Intern
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Re: Three people have $32, $72, [#permalink] New post 13 Dec 2018, 00:56
Cant we do like this that 2 of them get 0 dollars and 1 of them gets all of them menas 202
Director
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Re: Three people have $32, $72, [#permalink] New post 10 Jan 2019, 13:28
mohanishpatel wrote:
Cant we do like this that 2 of them get 0 dollars and 1 of them gets all of them menas 202

No, doing like that 0-----0-----202 the median is 0. which is smallest possible mean, just opposite the question asks.
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Re: statisics 2 [#permalink] New post 10 Jan 2019, 13:32
GreenlightTestPrep wrote:

To maximize the median, we must minimize the smallest value.
So, let's say one person receives $0


I have one problem, If one person gets 0 amount, technically how does the money is called redistributed.
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Re: Three people have $32, $72, [#permalink] New post 25 Jan 2019, 00:13
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Expert's post
This is a poor question.
redistribution among themselves sounds like all three have to get something.
Re: Three people have $32, $72,   [#permalink] 25 Jan 2019, 00:13
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