Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
Cumulative Assessment

Exercise 6 Page 375

The interquartile range (IQR) is the difference of the third quartile and the first quartile.

C

Practice makes perfect
We will begin by looking at the box-and-whisker plot that represents the lengths (in minutes) of project presentations at a science fair.
A number line from 1 to 10 displays a box plot representing the lengths (in minutes) of project presentations. The box plot includes a minimum value of 2, a maximum value of 9, a first quartile of 4, a third quartile of 7, and a median of 5.

We are asked to find the interquartile range of the data and what it represents in this situation. The interquartile range (IQR) is the difference of the third quartile Q_3, and the first quartile Q_1. In this case, Q_3 is 7 and Q_1 is 4. Let's calculate it! IQR: 7- 4=3minutes This means that the middle half of the presentation lengths vary by no more than 3 minutes, which is given in option C.