Question

A student received the following grades last semester. Find the student's semester grade point average. An A is Algebra (3 credits), a B in History ( 3 credits), A in sociology ( 3 credits) a D in English ( 3credits) and a C in seminar ( 2credits). An A is worth 4 points, a B is worth 3 points a C is worth 2 points and a D is worth 1 point.

Answer 1

If it is a simple average, the average is 2.8 points.

If it is a weigthed-by-credits average, the average is 2.86 points.

Explanation:

To calculate the simple average of this 5 grades, we sum all the points and divide it by 5:

In Algebra: A = 4 points

In History: B = 3 points

In Sociology: A = 4 points

In English: D = 1 point

In Seminar: C = 2 points

Average = (4+3+4+1+2)/5 = 2.8 points

If the average is weighted by the credits, we must add each score multiplied by the credits and, in total, divide it by the total amount of credits.

`weighted-average = \sum(points_i*credits_i)/\sum(credits_i)\\\\weighted-average = (4*3+3*3+4*3+1*3+2*2)/(3+3+3+3+2)\\weighted-average = 40 / 14 = 2.86`