Question

PLEASE HELP

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 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.

Which drive-thru typically has less wait time, and why?

Fast Chicken, because it has a smaller median
Fast Chicken, because it has a smaller mean
Super Fast Food, because it has a smaller median
Super Fast Food, because it has a smaller mean

Answer 1

Super Fast Food typically has less wait time, because it has a smaller median. The median wait time for Super Fast Food is 12 minutes, which is smaller than the median wait time for Fast Chicken, which is 12.5 minutes. The median is the value that separates the top 50% and the bottom 50% of the data, so a smaller median suggests that the wait times are generally shorter. The mean is not given for either drive-thru, so it cannot be used to make a comparison.