vazelinahS

2021-01-16

What can we conclude from the fact that class size is negatively associated with the average grade in a college algebra course?
A. Increasing the class size causes worse grades overall in a college algebra course
B. College Algebra classes with larger class sizes typically (but not always) have a lower average grade.
C. Reducing class size will increase grades in college algebra courses.

Laaibah Pitt

Step 1
Here, it is given that the class size is negatively associated with the average grade in a college algebra course. Hence, the class size(x) and the average grade in the college(y) are inversely related. Thus, the increase of variable x would decrease variable y.
Step 2
a) Increase in the class size causes worse grades overall in a college algebra course - It cannot be concluded from the given statement because it does not improve the scenario. Increase in the class size may not definitely cause a worsen of grades because there is a probability for the bright students to do better.
b) College algebra classes with larger class sizes typically have a lower average grade - A conclusion must be drawn based on all situations. This can be concluded with the given information as there is always a probability for every class to have bright students who can understand the course irrespective of the class sizes. Average is based on all observations. So, average marks may not decrease all the time.
c) Reducing class size will increase grades in college algebra courses - It is not a suitable conclusion for the above mentioned situation as reduction in the class size would help the students to understand the algebra course better, it is not certain.

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