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  3. For any 3 given numbers, which of the following is always equivalent to adding the 3 numbers together and then dividing the sum

For any 3 given numbers, which of the following is always equivalent to adding the 3 numbers together and then dividing the sum

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问题 For any 3 given numbers, which of the following is always equivalent to adding the 3 numbers together and then dividing the sum by 3?    Ⅰ. Ordering the 3 numbers numerically, from highest to lowest, and then selecting the middle number.    Ⅱ. Dividing each of the numbers by 3 and then adding the results together.    Ⅲ. Multiplying each number by 6, adding the resulting products together, and then dividing the sum by 9.
选项 A、Ⅰ only
B、Ⅱ only
C、Ⅰ and Ⅱ only
D、Ⅱ and Ⅲ only
E、None of the above
答案B
解析 Choose any three numbers and test them on statements Ⅰ, Ⅱ, and Ⅲ. You will quickly find that Ⅰ and Ⅲ are not always true. Ⅱ is always true, because mathematically it and the process in the question are doing the same thing--summing the numbers and dividing by 3.
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