Question

A university has 14 statistics classes scheduled for its Summer 2013 term. One class has space available for 20 students, eight classes have space for 60 students, one class has space for 80 students, and four classes have space for 100 students. (a) What is the average class size assuming each class is filled to capacity

Answer 1

Answer:

Assuming each class is filled to capacity, the average class size is 70.

Step-by-step explanation:

We have to find the weighted average of the number of students.

The weights are the number of classes.

We have that:

One class of 20 students

Eight classes of 60 students.

One class of 80 students.

Four classes of 100 students.

So

$M = \frac{1*20 + 8*60 + 1*80 + 4*100}{14} = 70$

Assuming each class is filled to capacity, the average class size is 70.