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.