2. 外语
  3. List K consists of the numbers -10, -5, 0, 5, and 10. Which of the following lists of numbers have the same range as the numbers

List K consists of the numbers -10, -5, 0, 5, and 10. Which of the following lists of numbers have the same range as the numbers

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问题 List K consists of the numbers -10, -5, 0, 5, and 10. Which of the following lists of numbers have the same range as the numbers in list K ?
Indicate all such lists.
选项 A、-15, -1,0, 1, 15
B、-7, -4, -2, 1, 13
C、0, 1, 2, 5, 8, 10
D、2, 3, 5, 15, 19, 22
E、4, 5, 6, 24
答案B，D，E
解析 Recall that the range of a list of numbers is defined as the difference between the greatest number and the least number in the list. The greatest number in list K is 10 and the least number is -10. Therefore, the range of the numbers in list K is 10 -(-10)= 10 + 10 = 20. So, to answer the question, you need to consider each list of numbers given in the choices and determine whether that list of numbers has a range of 20.
    Note that in each of the choices, the numbers are listed in order from least to greatest. Therefore, you need to look only at the first number and last number in each list to determine which lists have a range of 20. The ranges can be calculated quickly as follows.
Choice A: The greatest number is 15 and the least number is -15; therefore, the range is 15 -(-15)= 15 + 15 = 30.
Choice B: The greatest number is 13 and the least number is -7; therefore, the range is 13 -(-7)= 13 + 7 = 20.
Choice C: The greatest number is 10 and the least number is 0; therefore, the range is 10 - 0 = 10.
Choice D: The greatest number is 22 and the least number is 2; therefore, the range is 22 - 2 = 20.
Choice E: The greatest number is 24 and the least number is 4; therefore, the range is 24 - 4 = 20.
In each of Choices B, D, and E, the range is 20. The correct answer consists of Choices B, D, and E.
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