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arith mean - median

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arith mean - median

by madhan_dc » Thu Mar 10, 2011 9:14 pm
Please explain a solution. Thanks

For a certain set of n numbers, where n>1, is the avg(arth mean) equal to the median?

1. if the n numbers are listed in increasing order, then the difference between any pair of sucessive numbers in the set is 2.

2. the range of the n numbers in the set is 2(n-1)


the explanation is too long. Can someone point to a simpler solution pls. thanks
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Source: — Data Sufficiency |
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by GMATGuruNY » Thu Mar 10, 2011 9:26 pm
madhan_dc wrote:Please explain a solution. Thanks

For a certain set of n numbers, where n>1, is the avg(arth mean) equal to the median?

1. if the n numbers are listed in increasing order, then the difference between any pair of sucessive numbers in the set is 2.

2. the range of the n numbers in the set is 2(n-1)


the explanation is too long. Can someone point to a simpler solution pls. thanks
Statement 1: If the n numbers are listed in increasing order, then the difference between any pair of sucessive numbers in the set is 2.
When the numbers in a set are evenly spaced, the average = the median.
Sufficient.

Statement 2: range = 2(n-1)
The range tells us nothing about the average or the median.
Insufficient.

The correct answer is A.
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