Question

the box plots below show the math scores of students in two different classes. based on the box plots, which statement is correct? the median score of class a is greater than the median score of class b. the lower quartile of class a is greater than the lower quartile of class b. the upper quartile of class a is greater than the upper quartile of class b. the maximum score of class a is greater than the maximum score of class b.

Explanation:

Step1: Recall box - plot properties

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

Step2: Analyze each statement

• For the maximum score: By looking at the right - most ends of the whiskers of the box - plots of Class A and Class B, we can see that the maximum score of Class A is greater than the maximum score of Class B.
• For the upper quartile: We observe the right side of the boxes. The upper quartile of Class A is not greater than the upper quartile of Class B.
• For the lower quartile: By looking at the left side of the boxes, the lower quartile of Class A is not greater than the lower quartile of Class B.
• For the median: Looking at the lines inside the boxes, the median score of Class A is not greater than the median score of Class B.

Answer:

The maximum score of Class A is greater than the maximum score of Class B.