The mean is the average of all the ages. To find the mean, we add up all the ages and divide by the total number of students. In this case, we have:
(14 + 14 + 14 + 14 + 14 + 14 + 14 + 14 + 14 + 14 + 14 + 14 + 13 + 13 + 15) / 19 = 14
So the mean age of the students in the class is 14.
The mode is the most common age. In this case, the most common age is 14, since there are 11 students who are 14 years old.
Therefore, the mean and mode are both 14 for the ages of the students in the class.