The box plot below represents the number of books checked out daily from a local library in the month of June. What is the interquartile range?

Box and whisker plot for daily number of books checked out in June, shown on a number line from 0 to 50, where each number indicates number of books. Minimum is 5, Q1 is 20, Median is 25, Q3 is 30, Maximum is 40, Outlier is at 50.
A.
5 books
B.
25 books
C.
10 books
D.
20 books

1 answer

To calculate the interquartile range (IQR), we subtract the first quartile (Q1) from the third quartile (Q3).

From the box plot you provided:

  • Q1 = 20
  • Q3 = 30

The IQR is calculated as follows: IQR = Q3 - Q1 = 30 - 20 = 10

Therefore, the interquartile range is 10 books.

The correct answer is C. 10 books.