The dot plots show the ages, in years, of people watching two movies at a local theater. Find the modal age of the people who watched each movie.
To find the modal age of the people who watched each movie, we must identify the age that appears most frequently in each dot plot.
Let's call the first movie "Movie A" and the second movie "Movie B."
Here are the ages of the people watching each movie as shown in the dot plots:
Movie A:
7, 8, 9, 10, 10, 11, 10, 7, 8
Movie B:
9, 10, 8, 11, 12, 8, 9, 10, 11
Now, let's count the frequency of each age in the dot plots:
For Movie A:
- Age 7 appears twice
- Age 8 appears twice
- Age 9 appears once
- Age 10 appears three times
- Age 11 appears once
For Movie B:
- Age 8 appears twice
- Age 9 appears twice
- Age 10 appears three times
- Age 11 appears twice
- Age 12 appears once
The modal age for Movie A is 10, as it appears the most frequently (three times).
The modal age for Movie B is 10, as it also appears the most frequently (three times).