Use the weighted mean formula to calculate a GPA.

1. 3.1 - 1
Example 11: Grade Point Average
A student received the following grades. Find the
corresponding GPA.
Course Credits Grade
English Composition 3 A
Introduction to Psychology 3 C
Biology 4 B
Physical Education 2 D

2. 3.1 - 2
Example 11: Grade Point Average
A student received the following grades. Find the
corresponding GPA.
Course Credits Grade
English Composition 3 A
Introduction to Psychology 3 C
Biology 4 B
Physical Education 2 D
First convert each letter grade into quality points.

3. 3.1 - 3
Example 11: Grade Point Average
A student received the following grades. Find the
corresponding GPA.
Course Credits Grade
English Composition 3 A (4 points)
Introduction to Psychology 3 C
Biology 4 B
Physical Education 2 D
First convert each letter grade into quality points.

4. 3.1 - 4
Example 11: Grade Point Average
A student received the following grades. Find the
corresponding GPA.
Course Credits Grade
English Composition 3 A (4 points)
Introduction to Psychology 3 C (2 points)
Biology 4 B
Physical Education 2 D
First convert each letter grade into quality points.

5. 3.1 - 5
Example 11: Grade Point Average
A student received the following grades. Find the
corresponding GPA.
Course Credits Grade
English Composition 3 A (4 points)
Introduction to Psychology 3 C (2 points)
Biology 4 B (3 points)
Physical Education 2 D
First convert each letter grade into quality points.

6. 3.1 - 6
Example 11: Grade Point Average
A student received the following grades. Find the
corresponding GPA.
Course Credits Grade
English Composition 3 A (4 points)
Introduction to Psychology 3 C (2 points)
Biology 4 B (3 points)
Physical Education 2 D (1 point)
First convert each letter grade into quality points.

7. 3.1 - 7
Example 11: Grade Point Average
A student received the following grades. Find the
corresponding GPA.
Course Credits Grade
English Composition 3 A (4 points)
Introduction to Psychology 3 C (2 points)
Biology 4 B (3 points)
Physical Education 2 D (1 point)
GPA stands for grade point average and is
calculated using a weighted mean

8. 3.1 - 8
Example 11: Grade Point Average
A student received the following grades. Find the
corresponding GPA.
Course Credits Grade
English Composition 3 A (4 points)
Introduction to Psychology 3 C (2 points)
Biology 4 B (3 points)
Physical Education 2 D (1 point)
GPA stands for grade point average and is
calculated using a weighted mean

 

w
xw
X
)(

9. 3.1 - 9
Example 11: Grade Point Average
A student received the following grades. Find the
corresponding GPA.
Course Credits, w Grade, x
English Composition 3 A (4 points)
Introduction to Psychology 3 C (2 points)
Biology 4 B (3 points)
Physical Education 2 D (1 point)
GPA stands for grade point average
→ the grades are your x variable
→ the credits are your weights w

 

w
xw
X
)(

10. 3.1 - 10
Example 11: Grade Point Average
A student received the following grades. Find the
corresponding GPA.
Course Credits, w Grade, x
English Composition 3 A (4 points)
Introduction to Psychology 3 C (2 points)
Biology 4 B (3 points)
Physical Education 2 D (1 point)

 

w
xw
X
)( Create a column for w∙x

11. 3.1 - 11
Example 11: Grade Point Average
A student received the following grades. Find the
corresponding GPA.
Course Credits, w Grade, x w∙x
English Composition 3 A (4 points)
Introduction to
Psychology
3 C (2 points)
Biology 4 B (3 points)
Physical Education 2 D (1 point)

 

w
xw
X
)( Create a column for w∙x

12. 3.1 - 12
Example 11: Grade Point Average
A student received the following grades. Find the
corresponding GPA.
Course Credits, w Grade, x w∙x
English Composition 3 A (4 points) 3(4) = 12
Introduction to
Psychology
3 C (2 points)
Biology 4 B (3 points)
Physical Education 2 D (1 point)

 

w
xw
X
)( Create a column for w∙x

13. 3.1 - 13
Example 11: Grade Point Average
A student received the following grades. Find the
corresponding GPA.
Course Credits, w Grade, x w∙x
English Composition 3 A (4 points) 3(4) = 12
Introduction to
Psychology
3 C (2 points) 3(2) = 6
Biology 4 B (3 points)
Physical Education 2 D (1 point)

 

w
xw
X
)( Create a column for w∙x

14. 3.1 - 14
Example 11: Grade Point Average
A student received the following grades. Find the
corresponding GPA.
Course Credits, w Grade, x w∙x
English Composition 3 A (4 points) 3(4) = 12
Introduction to
Psychology
3 C (2 points) 3(2) = 6
Biology 4 B (3 points) 4(3) = 12
Physical Education 2 D (1 point)

 

w
xw
X
)( Create a column for w∙x

15. 3.1 - 15
Example 11: Grade Point Average
A student received the following grades. Find the
corresponding GPA.
Course Credits, w Grade, x w∙x
English Composition 3 A (4 points) 3(4) = 12
Introduction to
Psychology
3 C (2 points) 3(2) = 6
Biology 4 B (3 points) 4(3) = 12
Physical Education 2 D (1 point) 2(1) = 2

 

w
xw
X
)( Create a column for w∙x

16. 3.1 - 16
Example 11: Grade Point Average
A student received the following grades. Find the
corresponding GPA.
Course Credits, w Grade, x w∙x
English Composition 3 A (4 points) 3(4) = 12
Introduction to
Psychology
3 C (2 points) 3(2) = 6
Biology 4 B (3 points) 4(3) = 12
Physical Education 2 D (1 point) 2(1) = 2

 

w
xw
X
)(
Sum the column of w∙x

17. 3.1 - 17
Example 11: Grade Point Average
A student received the following grades. Find the
corresponding GPA.
Course Credits, w Grade, x w∙x
English Composition 3 A (4 points) 3(4) = 12
Introduction to
Psychology
3 C (2 points) 3(2) = 6
Biology 4 B (3 points)
Physical Education 2 D (1 point)

 

w
xw
X
)(
Sum the column of w∙x
4(3) = 12
2(1) = 2
Σ(w∙x ) = 32

18. 3.1 - 18
Example 11: Grade Point Average
A student received the following grades. Find the
corresponding GPA.
Course Credits, w Grade, x w∙x
English Composition 3 A (4 points) 3(4) = 12
Introduction to
Psychology
3 C (2 points) 3(2) = 6
Biology 4 B (3 points)
Physical Education 2 D (1 point)

 

w
xw
X
)(
Sum the column of w
4(3) = 12
2(1) = 2
Σ(w∙x ) = 32

19. 3.1 - 19
Example 11: Grade Point Average
A student received the following grades. Find the
corresponding GPA.
Course Credits, w Grade, x w∙x
English Composition 3 A (4 points) 3(4) = 12
Introduction to
Psychology
3 C (2 points) 3(2) = 6
Biology 4 B (3 points)
Physical Education 2 D (1 point)

 

w
xw
X
)(
Sum the column of w
4(3) = 12
2(1) = 2
Σ(w∙x ) = 32Σw = 12

20. 3.1 - 20
Example 11: Grade Point Average
A student received the following grades. Find the
corresponding GPA.
Course Credits, w Grade, x w∙x
English Composition 3 A (4 points) 3(4) = 12
Introduction to
Psychology
3 C (2 points) 3(2) = 6
Biology 4 B (3 points)
Physical Education 2 D (1 point)

 

w
xw
X
)(
4(3) = 12
2(1) = 2
Σ(w∙x ) = 32Σw = 12

21. 3.1 - 21
Example 11: Grade Point Average
A student received the following grades. Find the
corresponding GPA.
Course Credits, w Grade, x w∙x
English Composition 3 A (4 points) 3(4) = 12
Introduction to
Psychology
3 C (2 points) 3(2) = 6
Biology 4 B (3 points)
Physical Education 2 D (1 point)
4(3) = 12
2(1) = 2
Σ(w∙x ) = 32Σw = 12
12
32)(





w
xw
X

22. 3.1 - 22
Example 11: Grade Point Average
A student received the following grades. Find the
corresponding GPA.
Course Credits, w Grade, x w∙x
English Composition 3 A (4 points) 3(4) = 12
Introduction to
Psychology
3 C (2 points) 3(2) = 6
Biology 4 B (3 points)
Physical Education 2 D (1 point)
4(3) = 12
2(1) = 2
Σ(w∙x ) = 32Σw = 12
67.2
12
32)(





w
xw
X

23. 3.1 - 23
Example 11: Grade Point Average
A student received the following grades. Find the
corresponding GPA.
Course Credits, w Grade, x w∙x
English Composition 3 A (4 points) 3(4) = 12
Introduction to
Psychology
3 C (2 points) 3(2) = 6
Biology 4 B (3 points)
Physical Education 2 D (1 point)
4(3) = 12
2(1) = 2
Σ(w∙x ) = 32Σw = 12
67.2
12
32)(





w
xw
X
The grade point average is 2.67.