# Question Video: Comparing Heights in Cumulative Frequency Graphs Mathematics • 9th Grade

In order to compare the heights of players in two teams, A and B, the following cumulative frequency graph has been drawn as given. Determine which team has the most players that are taller than 170 cm.

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### Video Transcript

In order to compare the heights of players in two teams, A and B, the following cumulative frequency graph has been drawn as given. Determine which team has the most players that are taller than 170 centimeters.

In this question, we are given cumulative frequency graphs of the heights of players of two teams on the same pair of axes and asked to determine which team has more players taller than 170 centimeters. To do this, we first recall that the cumulative frequency is a running total of the frequencies up to that point. And in a cumulative frequency graph, we use the upper bounds of the values of the data set. This means that the coordinates tell us the number of elements in the data set below a certain value.

For instance, if we sketch a vertical line at đť‘Ą is equal to 170 up to the graph for team A and draw a horizontal line to the đť‘¦-axis, then we see that the đť‘¦-coordinate for team A is 17. Therefore, team A must have 17 players that are shorter than 170 centimeters. In the same way, we can see in the graph that team B has 19 players that are shorter than 170 centimeters.

To determine the number of players taller than or equal in height to 170 centimeters, we need to subtract this number from the total number of players on the team. We note that the total cumulative frequency tells us the number of players on each team. And we see in the graph both teams have 37 players. We can then calculate that team A has 20 players of height greater than or equal to 170 centimeters. And team B has 18 players of height greater than or equal to 170 centimeters. So, the answer is team A.