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 𝑥 is equal to 170 up to the graph for team A and draw a horizontal
line to the 𝑦-axis, then we see that the 𝑦-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.
