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  3. The median of 21 different integers is 17. Which of the following is the least possible of the range of these integers?

The median of 21 different integers is 17. Which of the following is the least possible of the range of these integers?

admin2022-11-09  30
问题 The median of 21 different integers is 17. Which of the following is the least possible of the range of these integers?
选项 A、17
B、18
C、19
D、20
E、21
答案D
解析 这21个不同整数的median是17，由于序列个数是奇数，因此17必然是中间那个数；要使这些整数的range最小，那么这些数必须是连续的整数。所以最大数为17+10=27，最小数为17-10=7。range=最大值-最小值=27-7=20，所以D为正确答案。
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