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If x is an integer, is the median of 5 numbers shown greater [#permalink]
 28 Apr 2006, 00:06
Question Stats:
40% (01:50) correct
60% (01:09) wrong based on 1 sessions
x, 3, 1, 12, 8 If x is an integer, is the median of 5 numbers shown greater than the average of 5 numbers? (1) x>6 (2) x is greater than median of 5 numbers
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Re: GMAT PREP mean and median [#permalink]
28 Apr 2006, 00:55
getzgetzu wrote: x, 3, 1, 12, 8
If x is an integer, is the median of 5 numbers shown greater than the average of 5 numbers?
1) x>6
2) x is greater than median of 5 numbers
(1) insuff.
for instance x can be 7 so median is 7 itself and mean around 5 so mean < median, but x can be 1000 in that case median is 8 but mean is way larger so is not enough
(2) that means that x>8 same problem as statement (1)
together nothing
so I would go with E in this one
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Re: GMAT PREP mean and median [#permalink]
28 Apr 2006, 11:48
getzgetzu wrote: x, 3, 1, 12, 8
If x is an integer, is the median of 5 numbers shown greater than the average of 5 numbers?
1) x>6
2) x is greater than median of 5 numbers
I go for E.
1) x>6, so x could be lets say 9, then median is 8, and the avg is 6.6, however if x is lets say 100, the mean is greater then median, so not suff.
2) similarly since x is greater then the median, 8 is the median, from there its similar to 1). not suff
therefore, E is correct.
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1,3,8,12 and Now we need to plug in X
1) x>6...7 to inf
X mean med
7 31/5 7
8 32/5 8
9 33/5 8
100 124/5 8
In suffi
2) x is greater than med
1,3,8,x,12
or
1,3,8,12,x
Again pluging number insufficient
Togather no furthere info
hence E
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Yup E it is. Had the question been what the median is then B is suff 
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Re: x, 3, 1, 12, 8 If x is an integer, is the median of 5 [#permalink]
23 May 2012, 20:44
we can arrange this question like this
1,3,x,8,12 or 1,3,8,x,12 or 1,3,8,12,x
so st 1 (24+x)/5< x,or 8 or 12 it give three different solution i.e 6<x,x<16,x<36 so seems to not sff
st 2 xis greater > median by arrange he series we get 1 3 8 x 12 or 1 3 8 12 x where 8 is median so
24+x<8 ====>x <16 so foe any value of x it gives different result.
and combining 1 n 2 x>6 and x<16 take any value so
it seems to me asn sd be E
if any err let me know plz....
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Re: If x is an integer, is the median of 5 numbers shown greater [#permalink]
23 May 2012, 23:47
getzgetzu wrote: x, 3, 1, 12, 8
If x is an integer, is the median of 5 numbers shown greater than the average of 5 numbers?
(1) x>6
(2) x is greater than median of 5 numbers Given set {1, 3, 8, 12, x} The questions asks whether median>average, or whether median>(24+x)/5. (1) x>6 --> if x=11 then median=8 (the middle number) and average=(24+x)/5=7, so median>average but if x=16 then median=8 and average=(24+x)/5=8, so median=average. Not sufficient. (2) x is greater than median of 5 numbers --> median=8. Not sufficient. (1)+(2) Examples from (1) are still valid so we still have two different answers. Not sufficient. Answer: E.
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Re: GMAT PREP mean and median [#permalink]
30 May 2012, 04:30
conocieur wrote: getzgetzu wrote: x, 3, 1, 12, 8
If x is an integer, is the median of 5 numbers shown greater than the average of 5 numbers?
1) x>6
2) x is greater than median of 5 numbers (1) insuff. for instance x can be 7 so median is 7 itself and mean around 5 so mean < median, but x can be 1000 in that case median is 8 but mean is way larger so is not enough (2) that means that x>8 same problem as statement (1) together nothing so I would go with E in this one Thanks for the solution..
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Re: GMAT PREP mean and median
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30 May 2012, 04:30
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