Question

The following boxplot shows the flight durations of two different airplanes. Which of the following statements is true about airplane A and airplane B?

• A. The duration of both airplane A and airplane B has a greater variation.
• B. The duration of airplane A has a greater measure of the center, and the duration of airplane B has a greater variation.
• C. The duration of both airplane A and airplane B has a greater measure of the center.
• D. The duration of airplane A has a greater variation, and the duration of airplane B has a greater measure of the center.

Answer 1

The correct option is B The duration of airplane A has a greater measure of the center, and the duration of airplane B has a greater variation.

Let’s have a look at the median duration and interquartile range of the duration for both the airplanes.

Airplane A
Median duration: 215 min
Lower quartile: 210 min
Upper quartile: 225 min
Interquartile range: 225 − 210 = 15 min

Airplane B
Median duration: 205 min
Lower quartile: 195 min
Upper quartile: 230 min
Interquartile range: 230 − 195 = 35 min

Therefore, the duration of airplane A has a greater measure of the center and the duration of airplane B has a greater measure of variation.