Question

the box and whisker chart represents the time (minutes) arizonians spent travelling to work. which of the following statements are correct? a the median time is 30 minutes. b half of the people travel at least 15 minutes. c the quickest travel time is 10 minutes. d most of the people travel at least 15 minutes.

Explanation:

Step1: Recall Box - and - Whisker Plot Properties

In a box - and - whisker plot, the left - most end of the whisker is the minimum value, the right - most end is the maximum value, the left end of the box is the first quartile ($Q_1$), the line inside the box is the median ($Q_2$), and the right end of the box is the third quartile ($Q_3$).

Step2: Analyze Option A

The median is the line inside the box. From the plot, the median is 30 minutes.

Step3: Analyze Option B

The first quartile ($Q_1$) is 15 minutes. The first quartile represents the value below which 25% of the data lies. So, 75% of the people travel at least 15 minutes, not 50%.

Step4: Analyze Option C

The left - most end of the whisker (the minimum value) is greater than 10 minutes.

Step5: Analyze Option D

Since 75% of the data (as \(Q_1 = 15\)) is at least 15 minutes, most (75% > 50%) of the people travel at least 15 minutes.

Answer:

A. The median time is 30 minutes; D. Most of the people travel at least 15 minutes.