Video: Calculating the Median of Two Peices of Data in a Line Graph

The broken line graph shows the number of matches that two volleyball teams, the Blue Jays and the Robins, played each month for 5 months. Calculate the median number of matches played by each team.

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Video Transcript

The broken line graph shows the number of matches that two volleyball teams, the Blue Jays and the Robins, played each month for five months. Calculate the median number of matches played by each team.

Let’s begin by considering what is shown on the line graph. The horizontal or 𝑥-axis shows five months, March, April, May, June, and July. The vertical or 𝑦-axis shows the number of matches played. This axis goes from zero to 10. The blue line shows the number of matches played in each month by the Blue Jays. The black line shows the same information for the Robins. If the line is sloping downwards from month to month, then the number of matches decreases, whereas if it slopes upwards, the number of matches is increasing.

Let’s firstly consider the Blue Jays. In March, the Blue Jays played nine matches. This is the first dot on the blue line. In April, they also played nine matches. In May and June, the number of matches dropped to five. And in July, they played six matches. Now, let’s consider the number of matches played by the Robins in each of the five months. The first point on this line graph corresponds to six matches. So they played six matches in March. They played five matches in April, nine in May, six in June, and seven in July.

In this question, we’re asked to calculate the median number for each team. The median is a measure of average or central tendency. It is the middle value when the data is in ascending order. Placing the data for the Blue Jays in ascending order, we have five, five, six, nine, and nine. As the median will be the middle value, we can begin by crossing off the highest and lowest value. Crossing off another value from either end leaves us with one number in the middle. The median number of matches played by the Blue Jays is six. We can repeat this process for the Robins. Listing their number of games in order, we have five, six, six, seven, and nine. We cross off five and nine, followed by six and seven, from either end.

This means that the median number of matches played by the Robbins is also six. This means that the median number of matches played by each team over the five-month period was six. We could also use this data to compare other aspects of the results, for example, the mean, mode, and range. Comparing each of these values for both of the teams would enable us to compare the data more thoroughly.

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