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If x is an integer, is the median of 5 numbers shown greater

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If x is an integer, is the median of 5 numbers shown greater [#permalink] New post 27 Apr 2006, 23:06
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

51% (01:51) correct 48% (01:26) wrong based on 116 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
[Reveal] Spoiler: OA
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Re: GMAT PREP mean and median [#permalink] New post 27 Apr 2006, 23:55
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] New post 28 Apr 2006, 10:48
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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 [#permalink] New post 28 Apr 2006, 20:14
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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 [#permalink] New post 30 Apr 2006, 03:46
Yup E it is. Had the question been what the median is then B is suff :lol:
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Re: x, 3, 1, 12, 8 If x is an integer, is the median of 5 [#permalink] New post 23 May 2012, 19:44
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] New post 23 May 2012, 22:47
Expert's post
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] New post 30 May 2012, 03:30
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: If x is an integer, is the median of 5 numbers shown greater [#permalink] New post 15 Feb 2014, 11:37
Bunuel 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


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.


I didn't quite understand statement 2, it says that x is greater than median of 5 numbers. Shouldn't it say the same 5 numbers given in the question or something similar?

Please advice
Thanks
Cheers
J
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Re: If x is an integer, is the median of 5 numbers shown greater [#permalink] New post 15 Feb 2014, 22:50
jlgdr wrote:
Bunuel 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


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.


I didn't quite understand statement 2, it says that x is greater than median of 5 numbers. Shouldn't it say the same 5 numbers given in the question or something similar?

Please advice
Thanks
Cheers
J


it means if we say x is 9..then median wd b 8. 1, 3 8,9,12
so x can 9 10 11 or 12 median wud b 8.
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Re: If x is an integer, is the median of 5 numbers shown greater   [#permalink] 15 Feb 2014, 22:50
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