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. in 1 four​-credit class
D. C in 1 two​-credit class

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                        3                        3                        9

B                        3                        3                        9

B                        3                        3                        9

D                        1                        3                        3

A                        4                        4                        16

C                        2                        2                        4              

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.

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The weighed average is the sum of the grades multiplied by it's weights, and divided by the sum of the weights.

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  • 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