Question

Suppose that a college student is taking three courses: a two-credit course, a three-credit course, and a four-credit course. The expected grade in the two-credit course is 3.5, while the expected grade in the three- and four-credit courses is 3.0.

What is the expected overall grade point average for the semester? (Remember that each course grade is weighted by its share of the total number of units.)

Answer 1

Given Information:

Grade in two-credit course = 3.5

Grade in three-credit course = 3.0

Grade in four-credit course = 3.0

Required Information:

Expected GPA = ?

Answer:

Expected GPA = 3.11

Explanation:

The overall expected GPA is basically the mean or average

E(X) = μ = Sum of grades/Total credit hours

Sum of grades = ∑ weight*grade

Sum of grades = 2*3.50 + 3*3.0 + 4*3.0 = 28

Total credit hours = 2 + 3 + 4 = 9

E(X) = μ = Sum of grades/Total credit hours

E(X) = μ = 28/9

E(X) = μ = 3.11

Therefore, the expected overall grade point average of this student for the current semester is 3.11

Answer 2

`\bar X = (\sum_(i=1)^n X_i w_i)/(\sum_(i=1)^n w_i)`

And replacing we got:

`\bar X= (2*3.5 +3*3.0 +4*3.0)/(2+3+4)= (28)/(9)=3.11`

So then we expect an overall grad of 3.11 with those values.

Explanation:

For this cae we have the following info

Credits Grade

2 3.5

3 3.0

4 3.0

Let X represent the grades and w, the weights(credits) we can find the expected overall grade with the following formula:

`\bar X = (\sum_(i=1)^n X_i w_i)/(\sum_(i=1)^n w_i)`

And replacing we got:

`\bar X= (2*3.5 +3*3.0 +4*3.0)/(2+3+4)= (28)/(9)=3.11`

So then we expect an overall grad of 3.11 with those values.