AMC 8 2002 Problem 3

AMC8 2002 年第 3 题

表达式与运算★☆☆☆☆
What is the smallest possible average of four distinct positive even integers?
4 个不同的正偶数的平均值最小可能是多少?
  1. A.3
  2. B.4
  3. C.5
  4. D.6
  5. E.7

正确答案 · Correct Answer

C

解析 · Solution

Solution 1

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 2, 4, 6, and 8. Their average is 2+4+6+84=204=(C) 5\displaystyle \frac{2+4+6+8}{4} = \frac{20}{4} = \text{(C) } 5.

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