2002 AMC 8 Problems/Problem 3

Revision as of 11:26, 20 October 2024 by Nora2021 (talk | contribs) (Solution)

Problem

What is the smallest possible average of four distinct positive even integers?

$\text{(A)}\ 3 \qquad \text{(B)}\ 4 \qquad \text{(C)}\ 5 \qquad \text{(D)}\ 6 \qquad \text{(E)}\ 7$


Solution

In order to get the smallest possible average, we want the 4 even numbers to be as small as possible. The first 4 positive even numbers are 0, 2, 4, and 6. Their average is $\frac{0+2+4+6}{4}=\boxed{\text{(B)}\ 4}$. (0 is not a positive number according to the definition.)

See Also

2002 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 2
Followed by
Problem 4
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AJHSME/AMC 8 Problems and Solutions

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