Data Sufficiency

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.. ??!!

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.