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# Three people have \$32, \$72,

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

46% (00:57) correct 53% (01:20) wrong based on 15 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
GRE Instructor
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Re: statisics 2 [#permalink]  16 Oct 2018, 07:11
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Expert's post
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

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Brent Hanneson – Creator of greenlighttestprep.com

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Re: Three people have \$32, \$72, [#permalink]  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]  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]  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]  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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