The dot plots show the ages, in years, of people watching two movies at a local theater. Find the median age of the people who watched each movie.

To find the median age of the people who watched each movie, we first need to arrange the ages in each dot plot in ascending order.

Let's assume the dot plot for Movie A looks like this:
```
7 7 8 9 11 12 13 14 15 16
```
The ages, in ascending order, are: 7, 7, 8, 9, 11, 12, 13, 14, 15, 16. The median age is the middle value, which in this case is the 6th value: 12.

Now, let's assume the dot plot for Movie B looks like this:
```
9 10 10 11 11 12 13 13 14 16
```
The ages, in ascending order, are: 9, 10, 10, 11, 11, 12, 13, 13, 14, 16. The median age is again the middle value, which in this case is the 5th and 6th values: 11 and 11.

Therefore, the median age of the people who watched Movie A is 12, and the median age of the people who watched Movie B is 11.