Question

The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.

A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 10 to 14.5 on the number line. A line in the box is at 12.5. The lines outside the box end at 5 and 20. The graph is titled Fast Chicken.

A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.

Which drive-thru is able to estimate their wait time more consistently, and why?

Burger Quick, because it has a smaller IQR
Burger Quick, because it has a smaller range
Fast Chicken, because it has a smaller IQR
Fast Chicken, because it has a smaller range

Answer 1

The answer to your problem is, Burger Quick, because it has a smaller IQR

Explanation:

IQR for Burger Quick is 24 - 9.5 = 14.5, while the IQR for Fast Chicken is 14.5 - 10 = 4.5. A smaller IQR indicates that the data is more consistent and less spread out.

IQR = The range of values in the middle of the scores is known as the interquartile range, or IQR. The appropriate measure of variability is the interquartile range when a distribution is skewed and the median is used instead of the mean to show a central tendency of it

Thus the answer to your problem is, Burger Quick, because it has a smaller IQR