Video: Comparing the Median of Two Pieces of Data in a Line Graph

This broken-line graph shows the scores achieved by two volleyball teams in each of five weeks. Compare the median scores of each team, and interpret the difference between them. a) The Blue Jays have a higher median score, which suggests that, overall, their scores were higher than the other team. b) The Robins have a higher median score, which suggests that, overall, their scores were higher than the other team.

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Video Transcript

This broken-line graph shows the scores achieved by two volleyball teams in each of the five weeks. Compare the median scores of each team, and interpret the difference between them. Is it a) The Blue Jays have a higher median score, which suggests that, overall, their scores were higher than the other team. Or b) The Robins have a higher median score, which suggests that, overall, their scores were higher than the other team.

First, we need to consider what the median value is. The median is the middle value in a sorted list. To find the median, we’ll need to place the numbers in value order and then find the middle.

Let’s start with the Blue Jays. In week one, they scored eight. In week two, they scored seven. In week three, their score dropped down to five. In week four, it came up to six. And in week five, it was five again.

And then the Robins. Week one, they scored five. Week two, they scored six. Week three, they scored nine. And again, in week four, they scored nine. And finally, in week five, they scored seven.

We need to sort this data from either greatest to least or least to greatest. If we go from least to greatest, the Blue Jays had five, five, six, then seven, then eight. And the Robins had five, six, seven, nine, nine. Remember, we’re looking for the middle. And out of five, the middle is going to be the third digit. So the Blue Jays’ median is six. And the Robins’ median is seven.

The Robins have a higher median score, which suggests that, overall, their scores were higher than the other team.