Question

The box plot shown represents the amount of donations received for a Lacrosse Team Fundraiser.

A box plot using a number line from 6 to 52 with tick marks every one unit. The box extends from 15 to 35 on the number line. A line in the box is at 23.5. The lines outside the box end at 12 and 50. The graph is titled Lacrosse Team Fundraiser, and the line is labeled Donations in Dollars.

What is the range and IQR of the data displayed?

The range is 38, and the IQR is 20.
The range is 38, and the IQR is 21.
The range is 37, and the IQR is 21.
The range is 37, and the IQR is 20.

Answer 1

The range is the difference between the maximum and minimum values in the data set. From the box plot, the minimum value is 12 and the maximum value is 50, so the range is:

range = maximum value - minimum value = 50 - 12 = 38

The IQR (interquartile range) is the difference between the third quartile (Q3) and the first quartile (Q1) of the data set. From the box plot, the lower quartile (Q1) is at 15, the upper quartile (Q3) is at 35, so the IQR is:

IQR = Q3 - Q1 = 35 - 15 = 20

Therefore, the range is 38 and the IQR is 20, and the answer is: The range is 38, and the IQR is 20.