Question

a student earned grades of a, b, a, c, and d. these courses had the corresponding numbers of credit - hours 3, 1, 4, 4, and 1. the grading system assigns quality points to letter grades as follows: a = 4; b = 3; c = 2; d = 1; f = 0. compute the grade - point average (gpa) as a weighted mean and round the result to two decimal places. if the deans list requires a gpa of 3.00 or greater, did this student make the deans list?
the grade - point average is 2.83.
(round to two decimal places as needed.)
did this student make the deans list?
a. no, because the students gpa is less than 3.00.
b. yes, because at least two of the student grades are b or above.
c. yes, because the students gpa is greater than or equal to 3.00.
d. no, because at least two of the student grades are less than b.

Explanation:

Step1: Calculate weighted sum of points

Multiply grade - points by credit - hours for each course.
For the first A (4 points), 2 credit - hours: $4\times2 = 8$.
For B (3 points), 1 credit - hour: $3\times1=3$.
For the second A (4 points), 4 credit - hours: $4\times4 = 16$.
For C (2 points), 1 credit - hour: $2\times1 = 2$.
The sum of the products is $8 + 3+16 + 2=29$.

Step2: Calculate total credit - hours

Sum up the credit - hours of all courses.
$2 + 1+4 + 1=8$.

Step3: Calculate GPA

Divide the weighted sum of points by the total credit - hours.
$GPA=\frac{29}{8}=3.625\approx3.63$.

Answer:

Since the GPA is 3.63 which is greater than or equal to 3.00, the answer is C. Yes, because the student's GPA is greater than or equal to 3.00.