2. 外语
  3. If the sum of five consecutive odd integers is 5, which of the following could be true? Ⅰ. The average (arithmetic mean) of the

If the sum of five consecutive odd integers is 5, which of the following could be true? Ⅰ. The average (arithmetic mean) of the

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问题 If the sum of five consecutive odd integers is 5, which of the following could be true? Ⅰ. The average (arithmetic mean) of the list is equal to 5. Ⅱ. The median of the list is equal to 5. Ⅲ. The range of the list is equal to 5.
选项 A、None
B、Ⅰ only
C、Ⅱ only
D、Ⅰ and Ⅱ
E、Ⅰ and Ⅲ
答案A
解析 Let’s start by finding a list of consecutive odd integers that add up to 5. -3, -1, 1, 3, and 5 is one such list. In fact, can you think of another? There isn’t one, so now we just have to see which of the Roman numerals is true in this case. Ⅰ isn’t true--the mean is 1. Ⅱ is also untrue--the median is also 1. And the range is 8, so none of the Roman numerals are possible, and A is our answer.
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