The number of pages read by two students each day for 5 days are listed in the table.Pages ReadStudentNumber of Pages in Each BookLionel90, 45, 30, 25, 15Aaron55, 19, 40, 16, 75Which statements are true regarding the two data sets? Check all that apply.
Answer
A
The means for both data sets are equal.
B
The means for the data sets are not equal.
C
The range of the number of pages Lionel read is greater than the range of the number of pages Aaron read.
D
The range of the number of pages that Lionel read is 75.
E
The range of the number of pages that Aaron read is 50.
Explanation
Lionel read 90 + 45 + 30 + 25 + 15 = 205 pages, and Aaron read 55 + 19 + 40 + 16 + 75 = 205 pages. Dividing each total by 5 gives both students a mean of 41 pages, so the means are equal. Lionel’s range is 90 − 15 = 75 pages, while Aaron’s range is 75 − 16 = 59 pages; therefore, Lionel’s range is greater and is 75 pages.
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