The box plot below represents the number of absences, per student, over a semester by a group of seniors at Green Hill High School.
Using the box plot above, which of the following are true regarding the data set?
I. The interquartile range is 10 days.
II. The median is 2 days.
III. About 50 percent of the seniors missed from 1 day to 5 days
over the given semester.
IV. About 50 percent of the seniors missed from 5 days to 10 days
over the given semester.
A.
I and III
B.
II and III
C.
II and IV
D.
I and II
A. I and III
Explanation:
I. The interquartile range can be calculated as Q3 - Q1 = 14 - 4 = 10 days.
II. The median is at the middle line of the box, which appears to be between 1 and 2 days.
III. About 50 percent of the seniors missed from 1 day to 5 days over the given semester is true based on the quartiles shown in the box plot.
IV. About 50 percent of the seniors missed from 5 days to 10 days is not accurate based on the quartiles shown in the box plot.