What is the average of all integers from 17 to 55 inclusive?

What is the average of all integers from 17 to 55 inclusive?

• A. 34
• B. 36
• C. 38
• D. 40

Answer: (B)

When you have a list of consecutive integers, their average equals the middle value between the smallest and largest. This works because the numbers pair up symmetrically around the center, so each pair sums to the same total and the average is that midpoint. Compute the midpoint of the ends: (17 + 55) / 2 = 72 / 2 = 36. Since 36 sits exactly in the middle of 17 and 55, it is the average of all integers from 17 to 55 inclusive.

When you have a list of consecutive integers, their average equals the middle value between the smallest and largest. This works because the numbers pair up symmetrically around the center, so each pair sums to the same total and the average is that midpoint.

Compute the midpoint of the ends: (17 + 55) / 2 = 72 / 2 = 36. Since 36 sits exactly in the middle of 17 and 55, it is the average of all integers from 17 to 55 inclusive.