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# Set S includes a few numbers. Is the median of S greater

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Senior Manager
Joined: 30 May 2005
Posts: 373

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Set S includes a few numbers. Is the median of S greater [#permalink]

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10 Aug 2005, 08:23
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Set S includes a few numbers. Is the median of S greater than its mean?

1) The median is 1/10 of the sum

2) There are 9 numbers.

Kudos [?]: 12 [0], given: 0

SVP
Joined: 03 Jan 2005
Posts: 2231

Kudos [?]: 377 [0], given: 0

Re: DS: Median vs. Mean [#permalink]

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10 Aug 2005, 08:37
Set S includes a few numbers. Is the median of S greater than its mean?

1) The median is 1/10 of the sum
S1=(0,0,1,4,5)
Mean=2, Median=1<Mean
S2=(1,1,1,1,1,1,1,1,1,1)
Mean=1. Median=1=Mean
Insufficient

2) There are 9 numbers.
Obviously insufficient
S1=(1,1,1,1,1,1,1,1,1)
S2=(0,0,0,0,0,0,0,0,1)

Combined:
Mean=1/10Sum=1/10*(9*Mean)=9/10*Mean<Mean
Sufficient

C
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Kudos [?]: 377 [0], given: 0

Manager
Joined: 06 Aug 2005
Posts: 197

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10 Aug 2005, 11:02
We don't know mean >0

Could be mean = 0 or mean <0

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Senior Manager
Joined: 30 May 2005
Posts: 373

Kudos [?]: 12 [0], given: 0

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15 Aug 2005, 20:51
OA is E, Median/Mean can be <= 0

Kudos [?]: 12 [0], given: 0

15 Aug 2005, 20:51
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