Question

The box plots show the math scores of students of two different classes:

Based on the box plots, which statement is correct? (4 points)
1. The median score of Class A is greater than the median score of Class B.
2. The lower quartile of Class A is greater than the lower quartile of Class B.
3. The upper quartile of Class A is greater than the upper quartile of Class B.
4. The maximum score of Class A is greater than the maximum score of Class B.

Answer 1

2. The lower quartile of Class A is greater than the lower quartile of Class B.

Explanation:

took the test and got it right

Answer 2

Answer: 4. The maximum score of Class A is greater than the maximum score of Class B.

Explanation:

The only correct statement that applies to these box plots is;

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

The median score (center line in the box) is the same for Class A and Class B, so option #1 is incorrect.

The lower quartile for Class A is less than the lower quartile for Class B, so option #2 is also incorrect.

The upper quartile for Class A is less than the upper quartile of Class B, so option #3 is also incorrect.

This leaves us with option #4, which is correct, the maximum score of Class A is greater than the maximum score of Class B.

I have attached an image, from onlinemathlearning.com, that shows how the different portions of a box plot relate to the vocabulary.