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Re: GMAT PREP mean and median [#permalink]
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)

Re: x, 3, 1, 12, 8 If x is an integer, is the median of 5 [#permalink]
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

Re: If x is an integer, is the median of 5 numbers shown greater [#permalink]
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.

Re: GMAT PREP mean and median [#permalink]
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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Best Vaibhav

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Re: If x is an integer, is the median of 5 numbers shown greater [#permalink]
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?

Re: If x is an integer, is the median of 5 numbers shown greater [#permalink]
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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gmatclubot

Re: If x is an integer, is the median of 5 numbers shown greater
[#permalink]
15 Feb 2014, 22:50