Calculate the grade point average: An A is considered 4.0, a B is 3.0, a C is 2.0, a D is 1.0, and an F is 0. If you received the following grades, what would be your grade point average? Round your answer to the hundredths place.
Course Credits Grade
Sociology 3.0 A
Calculus 2.0 D
New Student Seminar 2.0 B
Physics 5.0 A
To calculate the grade point average, we need to multiply the grade points (on a 4.0 scale) by the number of credits for each course and then sum up the products.
For the given grades:
Sociology: Grade = A, Credit = 3.0
Grade point = 4.0 x 3.0 = 12.0
Calculus: Grade = D, Credit = 2.0
Grade point = 1.0 x 2.0 = 2.0
New Student Seminar: Grade = B, Credit = 2.0
Grade point = 3.0 x 2.0 = 6.0
Physics: Grade = A, Credit = 5.0
Grade point = 4.0 x 5.0 = 20.0
To find the total number of credits:
Total credits = 3.0 + 2.0 + 2.0 + 5.0 = 12.0
To find the grade point average (GPA), we need to divide the sum of the grade points by the total credits:
GPA = (12.0 + 2.0 + 6.0 + 20.0) / 12.0
GPA = 40.0 / 12.0
GPA = 3.33 (rounded to the hundredths place)
Therefore, your grade point average would be 3.33.
To calculate your grade point average (GPA), you need to multiply each grade by the corresponding number of credits, sum up the total grade points, and then divide by the total number of credits.
Let's calculate it step by step:
1. Convert the letter grades to their respective grade points:
- A = 4.0
- B = 3.0
- C = 2.0
- D = 1.0
- F = 0.0
2. Multiply each grade by the number of credits:
- Sociology: 4.0 (A) * 3.0 credits = 12.0 grade points
- Calculus: 1.0 (D) * 2.0 credits = 2.0 grade points
- New Student Seminar: 3.0 (B) * 2.0 credits = 6.0 grade points
- Physics: 4.0 (A) * 5.0 credits = 20.0 grade points
3. Sum up the total grade points:
12.0 + 2.0 + 6.0 + 20.0 = 40.0 grade points
4. Sum up the total number of credits:
3.0 + 2.0 + 2.0 + 5.0 = 12.0 credits
5. Divide the total grade points by the total number of credits to calculate the GPA:
40.0 / 12.0 = 3.333333...
6. Round the GPA to the hundredths place:
Rounded to the hundredths place, the GPA would be 3.33.
Therefore, your grade point average (GPA) would be 3.33.