High School

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Question 10 or 15

People leaving the library were asked how many books they checked out that day. The results are:

1, 2, 3, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 20

Which histogram correctly shows the data set?

Books Checked Out

0-5, 6-11, 12-17, 18-23

Number of books checked out:

Answer :

The correct histogram that shows the data set is the second one.

The data set ranges from 1 to 20, so it should be divided into four intervals. The first interval should include the numbers 1, 2, 3, and 5, the second interval should include the numbers 8, 9, 10, and 11, the third interval should include the numbers 12, 13, 14, and 15, and the fourth interval should include the numbers 16, 18, and 20.

The first histogram divides the data into intervals that are too small. The second histogram has the correct intervals and shows that the most common number of books checked out is between 6 and 11.

First, group the data into the given intervals:
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