Question

Male and female high school students reported how many hours they worked each week in summer jobs. The data is represented in the following box plots:

A. The zero hour mark on both plots prevents the graphs from being balanced.
B. The median is near the center of the IQR for both males and females.
C. There is not enough evidence to see any effects on spread or center.
D. The males have a suspected significant high outlier.

Answer 1

B. The median is near the center of the IQR for both males and females; and

D. The males have a suspected significant high outlier.

Explanation:

The bar inside the box on a boxplot shows the median. We can see in both plots that the median is very near the center of the box; this means the median is nearly centered between Q1 and Q3, which makes it near the center of the IQR (IQR = Q3-Q1).

The highest value on the boxplot for males is much farther away from the box than the lowest value, or than the lowest or highest value for the females. It appears to be significantly different, which would make it an outlier.

Answer 2

the median is near the center of the IQRfor not males and females