Question

the box plots show the average gas mileage, in miles per gallon, of cars and minivans tested by a certain company. which correctly compares the interquartile ranges? the interquartile range for cars is about 12 mpg, and the interquartile range for minivans is about 12 mpg. the interquartile range for cars is about 7 mpg, and the interquartile range for minivans is about 3 mpg. the interquartile range for cars is about 24 mpg, and the interquartile range for minivans is about 19 mpg. the interquartile range for cars is about 8 mpg, and the interquartile range for minivans is about 7 mpg.

Explanation:

Step1: Recall IQR formula

IQR = Q3 - Q1, where Q3 is the third - quartile and Q1 is the first - quartile.

Step2: Find Q1 and Q3 for cars

For cars, from the box - plot, Q1 is approximately 22 and Q3 is approximately 30. So, IQR for cars = 30 - 22=8 mpg.

Step3: Find Q1 and Q3 for minivans

For minivans, from the box - plot, Q1 is approximately 18 and Q3 is approximately 25. So, IQR for minivans = 25 - 18 = 7 mpg.

Answer:

The interquartile range for cars is about 8 mpg, and the interquartile range for minivans is about 7 mpg.