Question

The heights of two groups of students in different grades are shown in the box-and-whisker plot below.

Which statement correctly compares the two data sets?

A.
The range of group A is less than the range of group B.

B.
The median of group A is less than the median of group B.

C.
The interquartile range of group A and group B is the same.

D.
The first quartile of group A is greater than the first quartile of group B.

Answer 1

D

Explanation:

The first quartile of group A is greater than the first quartile of group B.

Answer 2

Option D is correct, stating that the first quartile of group A is greater than the first quartile of group B, which can be visualized through the box-and-whisker plot. Box plot comparisons rely on examining quartiles, medians, and overall data spread.

The correct statement that compares the two data sets shown in the box-and-whisker plot is Option D: The first quartile of group A is greater than the first quartile of group B.

When comparing the box plots, we can see that the first quartile (Q1) of group A is located higher on the y-axis compared to the first quartile of group B. This indicates that the lower 25% of students in group A have higher heights than the lower 25% of students in group B.

Therefore, Option D is the correct statement that correctly compares the two data sets in terms of the first quartile.