Question

a student earned grades of a, d, a, c, and d. those courses had the corresponding numbers of credit - hours 2, 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 the student make the deans list?
the grade - point average is
(round to two decimal places as needed.)

Explanation:

Step1: Calculate the product of grade - points and credit - hours for each course

For the first A (grade - point = 4, credit - hours = 2): $4\times2 = 8$
For the D (grade - point = 1, credit - hours = 1): $1\times1=1$
For the second A (grade - point = 4, credit - hours = 4): $4\times4 = 16$
For the C (grade - point = 2, credit - hours = 4): $2\times4 = 8$
For the second D (grade - point = 1, credit - hours = 1): $1\times1 = 1$

Step2: Calculate the total product

$8 + 1+16 + 8+1=34$

Step3: Calculate the total credit - hours

$2 + 1+4 + 4+1=12$

Step4: Calculate the GPA

The formula for weighted mean (GPA) is $\text{GPA}=\frac{\text{Total product}}{\text{Total credit - hours}}$. So, $\text{GPA}=\frac{34}{12}\approx2.83$

Answer:

2.83