Question Video: Finding the Median of Data in a Line Graph | Nagwa Question Video: Finding the Median of Data in a Line Graph | Nagwa

Question Video: Finding the Median of Data in a Line Graph Mathematics • 6th Grade

Find the median number of laps that Charlotte ran this week.

01:40

Video Transcript

Find the median number of laps that Charlotte ran this week.

In the graph below, we have day on the 𝑥-axis, showing data for days one to seven, and laps on the 𝑦-axis. So, for example, if we look at the first point on the graph, we can see that Charlotte ran 20 laps on day one and 10 laps on day two. We need to find the median number of laps that Charlotte ran. And we can recall that the median of a data set is the middle value, when the data is ordered, either in ascending or descending order.

So let’s consider the number of laps that Charlotte ran each day. The first day was 20 laps. The second was 10. The third day was six, and the following day another six, then 18, 16, and eight laps on the days after this. Now, remember that to find the median, we must put the values in order. So let’s use an ascending order. That means we’ll have six, six, eight, 10, 16, 18, and 20 laps.

Next, we find the middle value. As there are seven values from the seven days Charlotte recorded her runs, the median will be the number at the fourth position. And that means that the median number of laps that Charlotte ran is 10 laps.

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