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

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

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14 Sep 2008, 20:00
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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, 20:39
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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Re: DS: Mean - Median   [#permalink] 14 Sep 2008, 20:39
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