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Problem 294

AMC 12 late, AIME early

Algebra Difficulty 4.6 Find the answer

The average (mean) of the five numbers $8,9,10,11,12$ is
(A) 12.5
(B) 8
(C) 9.6
(D) 9
(E) 10

Your answer

Official solution

The average of the five given numbers is $\frac{8+9+10+11+12}{5}=\frac{50}{5}=10$ .

Alternatively, since there are an odd number of consecutive integers, the average is the middle number, which is 10 .

ANswer: (E)

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.