Questions: A student received the following grades last semester. Find the student's semester grade point average. Course Credits Grade/Points Statistics 4 A / 4.0 Physics 5 F / 0.0 Sociology 3 B / 3.0 Literature 2 B / 3.0 Tennis 1 D / 1.0

Solution Steps

The total number of credits for the courses taken is calculated as follows:

\[ \text{Total Credits} = 4 + 5 + 3 + 2 + 1 = 15 \]

The total grade points are computed by multiplying the credits of each course by its corresponding grade points:

\[ \text{Total Grade Points} = (4 \times 4.0) + (5 \times 0.0) + (3 \times 3.0) + (2 \times 3.0) + (1 \times 1.0) = 16 + 0 + 9 + 6 + 1 = 32.0 \]

The semester grade point average (GPA) is determined by dividing the total grade points by the total credits:

\[ \text{GPA} = \frac{\text{Total Grade Points}}{\text{Total Credits}} = \frac{32.0}{15} \approx 2.1333 \]

Rounding this to two decimal places gives:

\[ \text{GPA} \approx 2.13 \]

Final Answer