Question

The number of pages read by two students each day for 5 days are listed in the table. Which statements are true about the data sets?

Pages Read
Student
Number of Pages in Each Book
Lionel
90, 45, 30, 25, 15
Aaron
55, 19, 40, 16, 75

The means for both data sets are equal.
The means for the data sets are not equal.
The range of the number of pages Lionel read is greater than the range of the number of pages Aaron read.
The range of the number of pages that Lionel read is 75.
The range of the number of pages that Aaron read is 50.

Answer 1

The means for both data sets are equal.

The range of the number of pages Lionel read is greater than the range of the number of pages Aaron read.

The range of the number of pages that Lionel read is 75

Explanation:

Answer 2

• The means for both data sets are equal.
• The range of the number of pages Lionel read is greater than the range of the number of pages Aaron read.
• The range of the number of pages that Lionel read is 75.

Explanation:

Given

Lionel

90, 45, 30, 25, 15

Aaron

55, 19, 40, 16, 75

in the first case; For Lionel;

Mean = (90+45+30+25+15 )/5 = 41 and

Range = (90-15)=75

The second case; Aaron

Mean = (55+19+40+16+75)/5 = 41 and

Range = (75-16)= 59

Therefore;

Both data sets have the same mean but different range.

The range of the number of pages Lionel is 75, which is greater than the range of the number of pages Aaron read, which is 59.