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GMAT prep - median and mean

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by jayhawk2001 » Sat Jun 16, 2007 2:40 pm
OA after a few reply. Any quick way to solve this.

x, 3, 1, 12, 8

If x is an integer, is the median of the 5 numbers shown greater than the
average (arithmetic mean) of the 5 numbers ?

(1) x > 6

(2) x is greater than the median of the 5 numbers.
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Source: — Data Sufficiency |
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by goutamn » Sat Jun 16, 2007 7:57 pm
Is the ans D?
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by Bhandaripreeti » Sat Jun 16, 2007 11:07 pm
I believe that the answer should be E

Mean = 24/5 + x/5 = 4.8 + x/5

If x > 6 , min value of x = 7

If x = 7 , median = 7 and mean = 4.8 + 7/5 = 4.8 + 1.4 =6.2

Median > Mean , however if x = 20 , median = 8 , mean = 4.8+ x/5 = 4.8+ 20/5 = 8.8

median < Mean
A insuff

Similarly for B

If x > Median , median =8

If x = 9
Median = 8 , mean = 4.8 + 9/5 = 4.8 + 1.8 = 6.6.

Median > Mean

However if x = 100

Median = 8 , mean = 4.8 + 100/5 = 4.8 +20

Median < Mean

B Insuff

Taking a and B together also , these conditions remain , hence insufficient
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by f2001290 » Sun Jun 17, 2007 8:13 am
One more for E.
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