Problem:
The sum of 49 consecutive integers is . What is their median?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The sum of a set of integers is the product of the mean and the number of integers, and the median of a set of consecutive integers is the same as the mean. So the median must be .
The problems on this page are the property of the MAA's American Mathematics Competitions