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# Of the 5 numbers, the largest number is 4 greater than the

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Senior Manager
Joined: 29 Mar 2008
Posts: 346
Of the 5 numbers, the largest number is 4 greater than the [#permalink]

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14 Sep 2008, 21:00
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Difficulty:

(N/A)

Question Stats:

100% (02:21) correct 0% (00:00) wrong based on 4 sessions

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Of the 5 numbers, the largest number is 4 greater than the median. Is the mean greater than the median?

(1) The largest number plus the median is 34.
(2) The median minus the smallest number is 10.

Looking for a better approach.

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Re: DS: Mean - Median [#permalink]

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14 Sep 2008, 21:39
leonidas wrote:
Of the 5 numbers, the largest number is 4 greater than the median. Is the mean greater than the median?

(1) The largest number plus the median is 34.
(2) The median minus the smallest number is 10.

Looking for a better approach.

B

1)
x1 x2 m x4 m+4

we don't know about x1 and x2.. mean can be greater or less than median
insufficient
2)

m-10 x2 m x4 m+4

we will take extreme possibilities for x2 and x4

lowest possible values:
x2= m-10
x4= m

mean = ( m-10+m-10+m+m+m+4) /5 = m-16/5 (i.e mean is < median)

lowest possible values:
x2= m
x4= m+4

mean = ( m-10+m+m+m+4+m+4) /5 = m-2/5 (i.e mean is < median)

sufficient

B

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This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: DS: Mean - Median   [#permalink] 14 Sep 2008, 21:39
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