An "A" is worth 4.0, a "B" is 3.0, a "C" is 2.0, a "D" is 1.0, and an "F" is 0.0. A student received the following grades. What is their grade point average (GPA) for that semester?

\begin{tabular}{|l|l|l|}
\hline
Course & Credits & Grade \\
\hline
Math & 3.0 & A \\
\hline
Psychology & 3.0 & B \\
\hline
Science & 4.0 & D \\
\hline
New Student Seminar & 1.0 & C \\
\hline
\end{tabular}

A. 2.750
B. 2.500
C. 2.700
D. 6.750
E. 2.455



Answer :

To calculate the Grade Point Average (GPA) for the student based on the given courses, credits, and grades, we need to follow a methodical step-by-step approach. Here it is:

1. Identify the Grade Points and Credits for Each Grade:
- "A" is worth 4.0 points.
- "B" is worth 3.0 points.
- "C" is worth 2.0 points.
- "D" is worth 1.0 points.
- "F" is worth 0 points.

2. List the Courses, Credits, and Grades:
- Math: 3.0 credits, Grade A (4.0 points)
- Psychology: 3.0 credits, Grade B (3.0 points)
- Science: 4.0 credits, Grade D (1.0 point)
- New Student Seminar: 1.0 credit, Grade C (2.0 points)

3. Calculate the Quality Points for Each Course:
- Math: [tex]\(3.0 \, \text{credits} \times 4.0 \, \text{points} = 12.0 \, \text{quality points}\)[/tex]
- Psychology: [tex]\(3.0 \, \text{credits} \times 3.0 \, \text{points} = 9.0 \, \text{quality points}\)[/tex]
- Science: [tex]\(4.0 \, \text{credits} \times 1.0 \, \text{point} = 4.0 \, \text{quality points}\)[/tex]
- New Student Seminar: [tex]\(1.0 \, \text{credit} \times 2.0 \, \text{points} = 2.0 \, \text{quality points}\)[/tex]

4. Sum the Total Quality Points and the Total Credits:
- Total Quality Points: [tex]\(12.0 + 9.0 + 4.0 + 2.0 = 27.0 \, \text{quality points}\)[/tex]
- Total Credits: [tex]\(3.0 + 3.0 + 4.0 + 1.0 = 11.0 \, \text{credits}\)[/tex]

5. Calculate the GPA:
- GPA = Total Quality Points / Total Credits
- GPA = [tex]\(27.0 \, \text{quality points} / 11.0 \, \text{credits} \approx 2.4545454545454546\)[/tex]

Therefore, the student's GPA for that semester is approximately 2.455.

Among the given choices, the correct GPA is [tex]\( 2.455 \)[/tex].

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