The document describes how to calculate a student's class average based on weighted grades in different components. It provides the component percentages, the student's grades for each component, and shows the calculation of multiplying each grade by its component percentage to get a weighted grade. These weighted grades are summed and divided by the total percentage to get the class average of 84.7, equivalent to a B.

1. 3.1 - 1
Example 10: Class Average
In our class your course grade or average is
determined by the following weights given in our
syllabus.
Component Percent
Test 1 15%
Test 2 15%
Test 3 15%
Web based Homework
Assignments
20%
Project 10%
Final 25%

2. 3.1 - 2
Example 10: Class Average
Calculate a students class average based on the
following grades.
Component Percent Grade
Test 1 15% 84
Test 2 15% 89
Test 3 15% 55
Web based Homework
Assignments
20% 100
Project 10% 100
Final 25% 82

3. 3.1 - 3
Example 10: Class Average
Calculate a students class average based on the
following grades.
Component Percent Grade
Test 1 15% 84
Test 2 15% 89
Test 3 15% 55
Web based Homework
Assignments
20% 100
Project 10% 100
Final 25% 82
Class average is calculated using a weighted mean

4. 3.1 - 4
Example 10: Class Average
Calculate a students class average based on the
following grades.
Component Percent Grade
Test 1 15% 84
Test 2 15% 89
Test 3 15% 55
Web based Homework
Assignments
20% 100
Project 10% 100
Final 25% 82
Class average is calculated using a weighted mean

 

w
xw
X
)(

5. 3.1 - 5
Example 10: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x
Test 1 15% 84
Test 2 15% 89
Test 3 15% 55
Web based Homework
Assignments
20% 100
Project 10% 100
Final 25% 82
Class average is calculated using a weighted mean
→ the grades are your x variable
→ the percentages are your weights w

6. 3.1 - 6
Example 10: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x
Test 1 15% 84
Test 2 15% 89
Test 3 15% 55
Web based Homework
Assignments
20% 100
Project 10% 100
Final 25% 82

 

w
xw
X
)( Create a column for w∙x

7. 3.1 - 7
Example 10: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 84
Test 2 15% 89
Test 3 15% 55
Web based Homework
Assignments
20% 100
Project 10% 100
Final 25% 82

 

w
xw
X
)( Create a column for w∙x

8. 3.1 - 8
Example 10: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 84 15(84) = 1260
Test 2 15% 89
Test 3 15% 55
Web based Homework
Assignments
20% 100
Project 10% 100
Final 25% 82

 

w
xw
X
)( Create a column for w∙x

9. 3.1 - 9
Example 10: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 84 15(84) = 1260
Test 2 15% 89 15(89) = 1335
Test 3 15% 55
Web based Homework
Assignments
20% 100
Project 10% 100
Final 25% 82

 

w
xw
X
)( Create a column for w∙x

10. 3.1 - 10
Example 10: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 84 15(84) = 1260
Test 2 15% 89 15(89) = 1335
Test 3 15% 55 15(55) = 825
Web based Homework
Assignments
20% 100
Project 10% 100
Final 25% 82

 

w
xw
X
)( Create a column for w∙x

11. 3.1 - 11
Example 10: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 84 15(84) = 1260
Test 2 15% 89 15(89) = 1335
Test 3 15% 55 15(55) = 825
Web based Homework
Assignments
20% 100 20(100) = 2000
Project 10% 100
Final 25% 82

 

w
xw
X
)( Create a column for w∙x

12. 3.1 - 12
Example 10: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 84 15(84) = 1260
Test 2 15% 89 15(89) = 1335
Test 3 15% 55 15(55) = 825
Web based Homework
Assignments
20% 100 20(100) = 2000
Project 10% 100 10(100) = 1000
Final 25% 82

 

w
xw
X
)( Create a column for w∙x

13. 3.1 - 13
Example 10: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 84 15(84) = 1260
Test 2 15% 89 15(89) = 1335
Test 3 15% 55 15(55) = 825
Web based Homework
Assignments
20% 100 20(100) = 2000
Project 10% 100 10(100) = 1000
Final 25% 82 25(82) = 2050

 

w
xw
X
)( Create a column for w∙x

14. 3.1 - 14
Example 10: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 84 15(84) = 1260
Test 2 15% 89 15(89) = 1335
Test 3 15% 55 15(55) = 825
Web based Homework
Assignments
20% 100 20(100) = 2000
Project 10% 100 10(100) = 1000
Final 25% 82 25(82) = 2050

 

w
xw
X
)( Sum the column for w∙x

15. 3.1 - 15
Example 10: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 84 15(84) = 1260
Test 2 15% 89 15(89) = 1335
Test 3 15% 55 15(55) = 825
Web based Homework
Assignments
20% 100 20(100) = 2000
Project 10% 100 10(100) = 1000
Final 25% 82 25(82) = 2050

 

w
xw
X
)( Sum the column for w∙x
Σ(w∙x) = 8470

16. 3.1 - 16
Example 10: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 84 15(84) = 1260
Test 2 15% 89 15(89) = 1335
Test 3 15% 55 15(55) = 825
Web based Homework
Assignments
20% 100 20(100) = 2000
Project 10% 100 10(100) = 1000
Final 25% 82 25(82) = 2050

 

w
xw
X
)(
Sum the column of w
Σ(w∙x) = 8470

17. 3.1 - 17
Example 10: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 84 15(84) = 1260
Test 2 15% 89 15(89) = 1335
Test 3 15% 55 15(55) = 825
Web based Homework
Assignments
20% 100 20(100) = 2000
Project 10% 100 10(100) = 1000
Final 25% 82 25(82) = 2050

 

w
xw
X
)( Sum the column for w∙x
Σ(w∙x) = 8470Σw = 100

18. 3.1 - 18
Example 10: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 84 15(84) = 1260
Test 2 15% 89 15(89) = 1335
Test 3 15% 55 15(55) = 825
Web based Homework
Assignments
20% 100 20(100) = 2000
Project 10% 100 10(100) = 1000
Final 25% 82 25(82) = 2050

 

w
xw
X
)(
Σ(w∙x) = 8470Σw = 100

19. 3.1 - 19
Example 10: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 84 15(84) = 1260
Test 2 15% 89 15(89) = 1335
Test 3 15% 55 15(55) = 825
Web based Homework
Assignments
20% 100 20(100) = 2000
Project 10% 100 10(100) = 1000
Final 25% 82 25(82) = 2050
100
8470)(





w
xw
X
Σ(w∙x) = 8470Σw = 100

20. 3.1 - 20
Example 10: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 84 15(84) = 1260
Test 2 15% 89 15(89) = 1335
Test 3 15% 55 15(55) = 825
Web based Homework
Assignments
20% 100 20(100) = 2000
Project 10% 100 10(100) = 1000
Final 25% 82 25(82) = 2050
7.84
100
8470)(





w
xw
X
Σ(w∙x) = 8470Σw = 100

21. 3.1 - 21
Example 10: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 84 15(84) = 1260
Test 2 15% 89 15(89) = 1335
Test 3 15% 55 15(55) = 825
Web based Homework
Assignments
20% 100 20(100) = 2000
Project 10% 100 10(100) = 1000
Final 25% 82 25(82) = 2050
7.84
100
8470)(





w
xw
X
Σ(w∙x) = 8470Σw = 100
This student’s class
average is an 84.7
or a B.