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Find the number given median and average

Expert replies
by gmatrant » Wed Nov 14, 2007 1:07 am
Find x
OA is A
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Source: — Problem Solving |

by camitava » Wed Nov 14, 2007 1:41 am
Gmatrant,
Median of the six numbers = (6 + 8) / 2 = 7
AM = (33 + x) / 6
So (33 + x)/6 * 6/7 = 7
so x = 16
IMO A. What do u say, Gmatrant?
Correct me If I am wrong


Regards,

Amitava
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by moneyman » Wed Nov 14, 2007 4:33 am
Fantastic method Amitava!!
Maxx
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by gmatrant » Wed Nov 14, 2007 8:02 am
camitava wrote:Gmatrant,
Median of the six numbers = (6 + 8) / 2 = 7
AM = (33 + x) / 6
So (33 + x)/6 * 6/7 = 7
so x = 16
IMO A. What do u say, Gmatrant?
x can be even 7 or even 2.6, then the median would change, so how can u take 6+8, it can be anything..

am i missing something
..thanks
yes the OA is A and you are right.
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by aninditasivaram2406 » Wed Nov 14, 2007 8:07 am
The median will be (6+8)/2 because the numbers are arranged in their increasing order. So the median has to be the average of the 2 middle digits.
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by Suyog » Wed Nov 14, 2007 1:17 pm
other way to look at it is....
all the ans options given are greater than 10 so median will be avg of 6 & 8....
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by gmatrant » Wed Nov 14, 2007 8:11 pm
Suyog wrote:other way to look at it is....
all the ans options given are greater than 10 so median will be avg of 6 & 8....[/quote

I just missed the increasing order.. sorry for that..
thanks for the solution..
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