Respuesta :
There is an omission of a word in part C of the criteria given in the question, and if my guess is right, it should be "A in 1 four-credit class".
So, we are going to slot in that right back into the question.
A student receives the following​ grades, with an A worth 4​ points, a B worth 3​ points, a C worth 2​ points, and a D worth 1 point. What is the​ student's weighted mean grade point​ score?
A. B in 3 three​-credit classes
B. D in 1 three​-credit class
C. A in 1 four​-credit class
D. C in 1 two​-credit class
Answer:
2.78
Step-by-step explanation:
From the question above, we can have a table analyzing the given statements.
Grades       Points       credits       Points × Credits
B Â Â Â Â Â Â Â Â Â Â Â Â 3 Â Â Â Â Â Â Â Â Â Â Â Â 3 Â Â Â Â Â Â Â Â Â Â Â Â 9
B Â Â Â Â Â Â Â Â Â Â Â Â 3 Â Â Â Â Â Â Â Â Â Â Â Â 3 Â Â Â Â Â Â Â Â Â Â Â Â 9
B Â Â Â Â Â Â Â Â Â Â Â Â 3 Â Â Â Â Â Â Â Â Â Â Â Â 3 Â Â Â Â Â Â Â Â Â Â Â Â 9
D Â Â Â Â Â Â Â Â Â Â Â Â 1 Â Â Â Â Â Â Â Â Â Â Â Â 3 Â Â Â Â Â Â Â Â Â Â Â Â 3
A Â Â Â Â Â Â Â Â Â Â Â Â 4 Â Â Â Â Â Â Â Â Â Â Â Â 4 Â Â Â Â Â Â Â Â Â Â Â Â 16
C Â Â Â Â Â Â Â Â Â Â Â Â 2 Â Â Â Â Â Â Â Â Â Â Â Â 2 Â Â Â Â Â Â Â Â Â Â Â Â 4 Â Â Â Â Â Â Â
Total          16            18            50
Sum Of Points × Credits = 50
total credits = 18
∴ The formula for calculating weighted mean grade point score = [tex]\frac{SumOfPoints * Credits}{Total Credits}[/tex]
=[tex]\frac{50}{18}[/tex]
= 2.78
∴  The student's weighted mean grade point score = 2.78
Using weighed averages, it is found that the student's GPA is 2.33.
-----------------------------------
The weighed average is the sum of the grades multiplied by it's weights, and divided by the sum of the weights.
-----------------------------------
- The student got 3 B's in 3 three-credit classes.
- A D in a three-credit class, thus 1 with a weight of 3.
- A C in a four-credit class, thus, 2 with a weight of 4.
- A C in a two-credit class, thus, 2 with a weight of 2.
His GPA is of:
[tex]M = \frac{3\times3\times3 + 1(3) + 2(4) + 2(2)}{9 + 3 + 4 + 2} = \frac{42}{18} = 2.33[/tex]
The student's GPA is of 2.33.
A similar problem is given at https://brainly.com/question/24276013
