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Three people have $32, $72, and $98, respectively. If they p

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Three people have $32, $72, and $98, respectively. If they p [#permalink] New post   29 Aug 2018, 16:19
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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
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D
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Re: Three people have $32, $72, and $98, respectively. If they p [#permalink] New post   31 Aug 2018, 02:19
if we look at the option choices in GRE they are accedning in nature.

Question is asking us what is the MAX median when the 3 distribute the money amongst themselfs

Question has not memntion that they have distributed the money equally amongst them selfs.

option E is 202 this is the max sum of the number this can not be the answer cos then it will not be the MAX median.

It has to be 101 as the remaining 101 can be distributed in the remianing 2 people.
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Re: Three people have $32, $72, and $98, respectively. If they p [#permalink] New post   31 Aug 2018, 05:44
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To maximize a median, one needs to minimize both the lower number and the higher number. the Lower number can be as low as 0, and the higher number can be as low as the median itself. So just take the total sum (=202) and divide by 2 to get 101 => we get 0, 101, 101.
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Re: Three people have $32, $72, and $98, respectively. If they p [#permalink] New post   02 Jul 2020, 00:27
one get 0, then the money is distributed among 2 not 3. May someone clarifies pls ?
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Re: Three people have $32, $72, and $98, respectively. If they p [#permalink] New post   02 Jul 2020, 22:37
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Asmakan wrote:
one get 0, then the money is distributed among 2 not 3. May someone clarifies pls ?


It is nowhere mentioned that money is equally redistributed among the three people. It just states that money was redistributed among themselves. So to calculate the mean, for arranging things in ascending order, we can assign 0 to one and then equally distribute 202 among two people, hence 101.
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Re: Three people have $32, $72, and $98, respectively. If they p [#permalink] New post   04 Jul 2020, 13:03
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add all the numbers
=202

Median is the mid term so divide by 2
we get 101

Pls give a kudos
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Re: Three people have $32, $72, and $98, respectively. If they p [#permalink] New post   02 Nov 2022, 23:00
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Three people have $32, $72, and $98, respectively. If they p [#permalink]
02 Nov 2022, 23:00
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