Use the image to answer the question.

Two box plots, 1 below the other, are over a number line ranging from 20 to 100 in increments of 10. The plots are labeled Test Grades. The top box plot represents No Homework and the bottom box plot represents Homework.

Compare the box plots summarizing the test scores of students who completed their homework versus those who did not complete their homework. Which statement is correct?

(1 point)
Responses

All students who did not do their homework scored below 70%.
All students who did not do their homework scored below 70%.

All students who completed their homework scored higher than students who did not.
All students who completed their homework scored higher than students who did not.

On average, students who completed their homework scored higher than students who did not.
On average, students who completed their homework scored higher than students who did not.

No student got a perfect score on the test.

1 answer

To accurately compare the box plots based on the provided descriptions, we can analyze the statistics typically represented by box plots: the median, interquartile range (IQR), and any outliers or extremes.

Given this information, the likely correct statement among the options provided would be:

On average, students who completed their homework scored higher than students who did not.

This option is based on the premise that the box plot of "Homework" would likely show higher median scores or a different IQR compared to the "No Homework" box plot.

The other statements either make absolute claims that are unlikely to be universally true (like all students scoring below a certain threshold or no students achieving a perfect score) or make direct comparisons that can't be confirmed without further analysis of the box plots.