Find the lists with the same range

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Quantitative Reasoning

List $R$ consists of the numbers $14, 22, 31, 36$ , and $41$ . Which of the following lists of numbers have the same range as the numbers in list $R$ ? Indicate all such lists.

Select all answers that apply.

-19, -7, 3, 8

24, 37, 44, 51

-16, -2, 9, 12

13, 25, 32, 39

-22, -13, -3, 6

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Answer: A ( $-19, -7, 3, 8$ ) and B ( $24, 37, 44, 51$ )

The range of a list is the difference between its greatest and least values. The range of list $R$ is $41 - 14 = 27$ . For Choice A, the range is $8 - (-19) = 27$ . For Choice B, the range is $51 - 24 = 27$ . The ranges of Choices C, D, and E are $28$ , $26$ , and $28$ , respectively. Therefore, the lists in Choices A and B have the same range as list $R$ .

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Quantitative Reasoning

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