Question Video: Comparing Data Sets on the Same Measurement Using Box Plots Mathematics

Video Transcript

It is thought that taking math tests in the morning results in higher grades than taking math tests in the afternoon. Do the data represented in the box plots below confirm this hypothesis or not?

Well, if we take a look at the box plot for the test taken in the morning first, we can see that the median is at approximately 87.5, whereas if we look at the scores for the tests taken in the afternoon, we can see that the median sits at about 75 on the axis. We can therefore conclude that since the median score for morning tests is higher than that for afternoon tests on average, morning math test scores are higher. So therefore, in answer to the question, what we can say is that yes taking math tests in the morning results in higher marks than taking math tests in the afternoon.