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Gmat prep Quant Question

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Gmat prep Quant Question [#permalink] New post 02 Dec 2012, 05:46
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The average of the five numbers x,7,2,16,11 is equal to the median of the five numbers. What is x?

1) 7<x<11

2)x is the median of the 5 numbers

Hi,
I have a doubt regarding this. The answer says D. I can understand, why??

My question is - why only integers are allowed. In this question, we can also have decimal numbers like 8.8, 9.2. In that case, the answer should be E.

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Rohit
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Schools: ISB '14 (D)
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Re: Gmat prep Quant Question [#permalink] New post 02 Dec 2012, 07:11
The average of the five numbers x,7,2,16,11 is equal to the median of the five numbers. What is x?

1) 7<x<11

2)x is the median of the 5 numbers


STAT1
7<x<11
we can write the numbers in increasing order as
2,7,x,11,16
Avg = Median (and x will be the median as its the center number)

(2+7+x+11+16)/5 = x
=> x= 9
So, SUFFICIENT

STAT2
x is the median of the 5 numbers
so, if we write the numbers in increasing order then again x will come in middle.
Using the logic above x will again be 9
so, SUFFICIENT

Hence , answer will be D
Quote:
Hi,
I have a doubt regarding this. The answer says D. I can understand, why??

My question is - why only integers are allowed. In this question, we can also have decimal numbers like 8.8, 9.2. In that case, the answer should be E.


In the solution above it was NOT ASSUMED that x is an integer. (we got x as integer only by solving the equations)
And, given the conditions in the questions we will get only integer values of x and that too 9.

Hope it helps!

_________________

ankit
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Re: Gmat prep Quant Question   [#permalink] 02 Dec 2012, 07:11
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