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consecutive ints

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by smallsorrow » Mon Oct 27, 2008 4:16 am
If m is a positive odd integer, what is the average of a certain set of m integers?

1) the ints are consecutive multiples of 3
2) the median is 33


Does the median of a set of integers indicate how many terms there are in the set? I know the median equals the average but still I could not figure out (I have not done the maths though) how many terms are in the set.. ??!!
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Source: — Data Sufficiency |
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Re: consecutive ints

by parallel_chase » Mon Oct 27, 2008 4:53 am
smallsorrow wrote:If m is a positive odd integer, what is the average of a certain set of m integers?

1) the ints are consecutive multiples of 3
2) the median is 33
Statement I
the ints are consecutive multiples of 3

This statement is insufficient, because we dont know the number of terms, we just know the set consistes of consecutive multiples of 3.

Statement II
median = 33, this statement is clearly insufficient.

Combining I & II
consecutive multiples of 3, median= 33, since the set is evenly spaced i.e. it consists of consecutive integers, therefore, mean=33

Hence C.

Hope this helps.
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