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Set R contains five numbers that have an average value of 55

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Director
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Joined: 22 Jul 2012
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GMAT 1: 640 Q43 V34
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Re: Set R contains five numbers that have an average value of 55 [#permalink] New post 24 Jan 2013, 02:38
Hi ,

Here's how I did..

smallest no: s
largest no: 3s+20

since mean = median,

thought that numbers are in AP.

so average= (last no+first no)/2

therefore 55=(s+3s+20)/2
=> s=22.5


now l=20+3s
=> l=87.25

range =l-s=65..
Please let me know where I am going wrong.
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Director
Director
Status: Gonna rock this time!!!
Joined: 22 Jul 2012
Posts: 551
Location: India
GMAT 1: 640 Q43 V34
GMAT 2: 630 Q47 V29
WE: Information Technology (Computer Software)
Followers: 2

Kudos [?]: 22 [0], given: 561

GMAT Tests User
Re: Set R contains five numbers that have an average value of 55 [#permalink] New post 24 Jan 2013, 16:22
PraPon wrote:
Sachin9 wrote:
Hi ,

Here's how I did..

smallest no: s
largest no: 3s+20

since mean = median,

thought that numbers are in AP.

so average= (last no+first no)/2


therefore 55=(s+3s+20)/2
=> s=22.5


now l=20+3s
=> l=87.25

range =l-s=65..
Please let me know where I am going wrong.


Sachin, you assumed that the numbers are in AP, but problem doesn't state that.
This set S = {29, 29, 55, 55, 107} has the maximum range i.e. 78 and mean/median 55.

Note that these numbers are not in AP/sequence. Hence you cannot take average of last & first to find the mean.



Thanks mate..
I thought that the numbers would be in AP since their median and mean were same.

I now understand that if the nos are in AP , then their median and mean will be same but the vice versa is not necessarily true.
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Re: Set R contains five numbers that have an average value of 55 [#permalink] New post 07 Feb 2014, 14:01
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Re: Set R contains five numbers that have an average value of 55   [#permalink] 07 Feb 2014, 14:01
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