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# For a certain set of n numbers, where n>1, is the average

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VP
Joined: 22 Nov 2007
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For a certain set of n numbers, where n>1, is the average [#permalink]  03 Mar 2008, 10:58
For a certain set of n numbers, where n>1, is the average (arithmetic mean)
equal to the median?
(1) If the n numbers in the set are listed in increasing order, then the
difference between any pair of successive numbers is 2.
(2) The range of the n numbers in the set is 2(n - 1).
VP
Joined: 22 Oct 2006
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Schools: Chicago Booth '11
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Re: statistics [#permalink]  03 Mar 2008, 11:05
D

just plugged in numbers
CEO
Joined: 29 Mar 2007
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Re: statistics [#permalink]  03 Mar 2008, 11:42
terp26 wrote:
D

just plugged in numbers

Can you show how S2 is suff?
SVP
Joined: 28 Dec 2005
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Re: statistics [#permalink]  03 Mar 2008, 12:26
i think its A. Stat 2 cant be suff on its on.

Lets say n=3, the range is then 2(2)=4. So, we have three numbers whose range is 4. I picked 1,2,5. Average of these values is 8/3, and median is 2.
Manager
Joined: 05 Feb 2007
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Re: statistics [#permalink]  03 Mar 2008, 12:52

statement 1.

2,4 A=3, M=3
2,4,6 A=4, M=4
2,4,6,8 A=7, M=7

statement 2.

5, range is 8

1,1,1,1,8

A= 2 2/5, M=1
Director
Joined: 14 Jan 2007
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Re: statistics [#permalink]  03 Mar 2008, 19:22
It's A.

Stmt1:
Evenly distributed numbers have mean and median same.

So Suff

Stmt2:
The given range does not enforce any rule about the spacing between numbers. Mean may or may not be same as Median.
So Insuff
CEO
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Re: statistics [#permalink]  04 Mar 2008, 05:28
Ya I thought A as well.
Intern
Joined: 04 Mar 2008
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Re: statistics [#permalink]  04 Mar 2008, 11:48
i think its A
Re: statistics   [#permalink] 04 Mar 2008, 11:48
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