A student receives his grade report from a local community college, but the GPA is smudged. He took the following classes: a 2 hour credit art, a 3 hour credit history, a 4 hour credit science course, a 3 hour credit mathematics course, and a 1 hour science lab. He received a “B� in the art class, an “A� in the history class, a “C� in the science class, a “B� in the mathematics class, and an “A� in the science lab. What was his GPA if the letter grades are based on a 4 point scale? (A=4, B=3, C=2, D=1, F=0)
Where the given ratings weighted in terms of the hours?
Not familiar with the grading system of US colleges.
if so, I would do:
2B + 3A + 4C + 3B + 1C ----> total of 13 hours
= 5B + 3A + 5C
= 15 + 12 + 10
= 37
score = 37/13 = 2.8
To calculate the GPA, we need to assign a numerical value to each letter grade based on the 4 point scale. Here are the values we will use:
A = 4
B = 3
C = 2
D = 1
F = 0
Now, let's calculate the credit hours for each class and multiply it by the corresponding numerical value for the letter grade.
Art:
Credit hours = 2
Grade = B (3)
GPA for art = Credit hours * Grade = 2 * 3 = 6
History:
Credit hours = 3
Grade = A (4)
GPA for history = Credit hours * Grade = 3 * 4 = 12
Science:
Credit hours = 4
Grade = C (2)
GPA for science = Credit hours * Grade = 4 * 2 = 8
Mathematics:
Credit hours = 3
Grade = B (3)
GPA for mathematics = Credit hours * Grade = 3 * 3 = 9
Science Lab:
Credit hours = 1
Grade = A (4)
GPA for science lab = Credit hours * Grade = 1 * 4 = 4
Now, we add up all the GPAs and divide by the total credit hours. In this case, the total credit hours would be:
Art (2) + History (3) + Science (4) + Mathematics (3) + Science Lab (1) = 2 + 3 + 4 + 3 + 1 = 13
Now, we divide the sum of the GPAs (39) by the total credit hours (13).
GPA = Sum of GPAs / Total credit hours = 39 / 13 = 3
Therefore, the student's GPA is 3.