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?
B in 2 two​-credit classes
D in 1 three​-credit class
A in 1 three​-credit class
C in 1 two​-credit class

To calculate the student's weighted mean grade point score, we need to follow these steps:

1. Multiply the grade points for each class by the number of credits for that class.
2. Sum these weighted grade points.
3. Divide the total weighted grade points by the total number of credits.

Given the grades and their corresponding points:
- B in 2 two-credit classes: \(3 \, \text{points} \times 2 \, \text{credits} \times 2 \, \text{classes} = 3 \times 4 = 12\)
- D in 1 three-credit class: \(1 \, \text{point} \times 3 \, \text{credits} = 3\)
- A in 1 three-credit class: \(4 \, \text{points} \times 3 \, \text{credits} = 12\)
- C in 1 two-credit class: \(2 \, \text{points} \times 2 \, \text{credits} = 4\)

Next, we sum the weighted grade points:
\[ 12 + 3 + 12 + 4 = 31 \]

Now, we sum the total number of credits:
\[ 2 \, \text{credits} \times 2 \, \text{classes} + 3 + 3 + 2 = 4 + 3 + 3 + 2 = 12 \]

Finally, we calculate the weighted mean grade point score:
\[ \frac{\text{Total Weighted Grade Points}}{\text{Total Credits}} = \frac{31}{12} \approx 2.58 \]

The student's weighted mean grade point score is approximately 2.58.

Would you like more details or have any questions about this calculation?

Here are 5 questions you might want to ask next:
1. How do you calculate a GPA for a different set of grades and credits?
2. What is the difference between weighted and unweighted GPA?
3. How can you improve your GPA?
4. How does GPA affect college admissions?
5. Can you explain how to calculate cumulative GPA?

**Tip:** Always double-check your calculations to ensure accuracy, especially when dealing with weighted averages and important academic metrics like GPA.

Learn how to calculate a student's weighted mean grade point score based on grades A (4 points), B (3 points), C (2 points), and D (1 point), across different credit classes. Includes a detailed step-by-step solution and example calculation.

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