Question

which of the following is the correct way to calculate this students gpa for the semester?
course credits grade/points
statistics 4 b/30
physics 5 a/40
sociology 3 b/30
literature 3 c/20
tennis 1 a/40
(43 + 54+ 33 + 32 + 1*4)/(4 + 5+3+3+1)=3.2 gpa
(43 + 54+ 33 + 32 + 1*4)/(3+4+3+2+4)=3.2 gpa
(3+4+3+2+4)/15 = 1.1 gpa
(3+4+3+2+4)/5 = 3.2 gpa
question 17 (2 points)
the grades for the trigonometry exam are listed below. find the range.

Explanation:

Step1: Recall GPA - calculation formula

GPA is calculated as the weighted - average of grade points, where the weights are the number of credits for each course. The formula is $\text{GPA}=\frac{\sum_{i = 1}^{n}( \text{Credits}_i\times\text{Grade Points}_i)}{\sum_{i = 1}^{n}\text{Credits}_i}$.

Step2: Identify credits and grade points for each course

For Statistics: Credits = 4, Grade Points = 3 (assuming B = 3, A = 4, C = 2).
For Physics: Credits = 5, Grade Points = 4.
For Sociology: Credits = 3, Grade Points = 3.
For Literature: Credits = 3, Grade Points = 2.
For Tennis: Credits = 1, Grade Points = 4.

Step3: Calculate the numerator

$\sum_{i = 1}^{n}( \text{Credits}_i\times\text{Grade Points}_i)=4\times3 + 5\times4+3\times3 + 3\times2+1\times4=12 + 20+9 + 6 + 4=51$.

Step4: Calculate the denominator

$\sum_{i = 1}^{n}\text{Credits}_i=4 + 5+3 + 3+1=16$.

Step5: Calculate GPA

$\text{GPA}=\frac{4\times3 + 5\times4+3\times3 + 3\times2+1\times4}{4 + 5+3 + 3+1}=\frac{12 + 20+9 + 6 + 4}{16}=\frac{51}{16}=3.1875\approx3.2$. The correct formula for GPA calculation is $(4\times3 + 5\times4+3\times3 + 3\times2+1\times4)/(4 + 5+3 + 3+1)=3.2\text{ GPA}$.

Answer:

$(4*3 + 5*4+3*3 + 3*2+1*4)/(4 + 5+3 + 3+1)=3.2\text{ GPA}$