If the median of x consecutive odd integers is 9, then the average is:
(A) 6 (B) 9 (C) 8 (D) 10 (E) 12
Does it matter what the value of x is here? It will be an odd number; that really all you need to know! If 9 is the median of a set of consecutive odd integers, then x will always have to be an odd number, and 9 will always be the middle term. Let’s say x = 3. The set would include 7, 9, and 11. What is the average of those numbers? It will be 9. Make x any odd value, and you’ll find that the average will always be 9. The answer is (B).
source: studyguidezone.com
