weighted mean - class average

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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%

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Page 1: Weighted Mean - Class Average

3.1 - 1

Example 10: Class AverageIn our class your course grade or average is determined by the following weights given in our syllabus.

Component PercentTest 1 15%Test 2 15%Test 3 15%Web based HomeworkAssignments 20%

Project 10%Final 25%

Page 2: Weighted Mean - Class Average

3.1 - 2

Example 10: Class AverageCalculate a students class average based on the following grades.

Component Percent GradeTest 1 15% 84Test 2 15% 89Test 3 15% 55Web based HomeworkAssignments 20% 100

Project 10% 100Final 25% 82

Page 3: Weighted Mean - Class Average

3.1 - 3

Example 10: Class AverageCalculate a students class average based on the following grades.

Component Percent GradeTest 1 15% 84Test 2 15% 89Test 3 15% 55Web based HomeworkAssignments 20% 100

Project 10% 100Final 25% 82

Class average is calculated using a weighted mean

Page 4: Weighted Mean - Class Average

3.1 - 4

Example 10: Class AverageCalculate a students class average based on the following grades.

Component Percent GradeTest 1 15% 84Test 2 15% 89Test 3 15% 55Web based HomeworkAssignments 20% 100

Project 10% 100Final 25% 82

Class average is calculated using a weighted mean

w

xwX

)(

Page 5: Weighted Mean - Class Average

3.1 - 5

Example 10: Class AverageCalculate a students class average based on the following grades.

Component Percent, w Grade, xTest 1 15% 84Test 2 15% 89Test 3 15% 55Web based HomeworkAssignments 20% 100

Project 10% 100Final 25% 82

Class average is calculated using a weighted mean→ the grades are your x variable

→ the percentages are your weights w

Page 6: Weighted Mean - Class Average

3.1 - 6

Example 10: Class AverageCalculate a students class average based on the following grades.

Component Percent, w Grade, xTest 1 15% 84Test 2 15% 89Test 3 15% 55Web based HomeworkAssignments 20% 100

Project 10% 100Final 25% 82

w

xwX

)( Create a column for w∙x

Page 7: Weighted Mean - Class Average

3.1 - 7

Example 10: Class AverageCalculate a students class average based on the following grades.

Component Percent, w Grade, x w∙xTest 1 15% 84Test 2 15% 89Test 3 15% 55Web based HomeworkAssignments 20% 100

Project 10% 100Final 25% 82

w

xwX

)( Create a column for w∙x

Page 8: Weighted Mean - Class Average

3.1 - 8

Example 10: Class AverageCalculate a students class average based on the following grades.

Component Percent, w Grade, x w∙xTest 1 15% 84 15(84) = 1260Test 2 15% 89Test 3 15% 55Web based HomeworkAssignments 20% 100

Project 10% 100Final 25% 82

w

xwX

)( Create a column for w∙x

Page 9: Weighted Mean - Class Average

3.1 - 9

Example 10: Class AverageCalculate a students class average based on the following grades.

Component Percent, w Grade, x w∙xTest 1 15% 84 15(84) = 1260Test 2 15% 89 15(89) = 1335Test 3 15% 55Web based HomeworkAssignments 20% 100

Project 10% 100Final 25% 82

w

xwX

)( Create a column for w∙x

Page 10: Weighted Mean - Class Average

3.1 - 10

Example 10: Class AverageCalculate a students class average based on the following grades.

Component Percent, w Grade, x w∙xTest 1 15% 84 15(84) = 1260Test 2 15% 89 15(89) = 1335Test 3 15% 55 15(55) = 825Web based HomeworkAssignments 20% 100

Project 10% 100Final 25% 82

w

xwX

)( Create a column for w∙x

Page 11: Weighted Mean - Class Average

3.1 - 11

Example 10: Class AverageCalculate a students class average based on the following grades.

Component Percent, w Grade, x w∙xTest 1 15% 84 15(84) = 1260Test 2 15% 89 15(89) = 1335Test 3 15% 55 15(55) = 825Web based HomeworkAssignments 20% 100 20(100) = 2000

Project 10% 100Final 25% 82

w

xwX

)( Create a column for w∙x

Page 12: Weighted Mean - Class Average

3.1 - 12

Example 10: Class AverageCalculate a students class average based on the following grades.

Component Percent, w Grade, x w∙xTest 1 15% 84 15(84) = 1260Test 2 15% 89 15(89) = 1335Test 3 15% 55 15(55) = 825Web based HomeworkAssignments 20% 100 20(100) = 2000

Project 10% 100 10(100) = 1000Final 25% 82

w

xwX

)( Create a column for w∙x

Page 13: Weighted Mean - Class Average

3.1 - 13

Example 10: Class AverageCalculate a students class average based on the following grades.

Component Percent, w Grade, x w∙xTest 1 15% 84 15(84) = 1260Test 2 15% 89 15(89) = 1335Test 3 15% 55 15(55) = 825Web based HomeworkAssignments 20% 100 20(100) = 2000

Project 10% 100 10(100) = 1000Final 25% 82 25(82) = 2050

w

xwX

)( Create a column for w∙x

Page 14: Weighted Mean - Class Average

3.1 - 14

Example 10: Class AverageCalculate a students class average based on the following grades.

Component Percent, w Grade, x w∙xTest 1 15% 84 15(84) = 1260Test 2 15% 89 15(89) = 1335Test 3 15% 55 15(55) = 825Web based HomeworkAssignments 20% 100 20(100) = 2000

Project 10% 100 10(100) = 1000Final 25% 82 25(82) = 2050

w

xwX

)( Sum the column for w∙x

Page 15: Weighted Mean - Class Average

3.1 - 15

Example 10: Class AverageCalculate a students class average based on the following grades.

Component Percent, w Grade, x w∙xTest 1 15% 84 15(84) = 1260Test 2 15% 89 15(89) = 1335Test 3 15% 55 15(55) = 825Web based HomeworkAssignments 20% 100 20(100) = 2000

Project 10% 100 10(100) = 1000Final 25% 82 25(82) = 2050

w

xwX

)( Sum the column for w∙xΣ(w∙x) = 8470

Page 16: Weighted Mean - Class Average

3.1 - 16

Example 10: Class AverageCalculate a students class average based on the following grades.

Component Percent, w Grade, x w∙xTest 1 15% 84 15(84) = 1260Test 2 15% 89 15(89) = 1335Test 3 15% 55 15(55) = 825Web based HomeworkAssignments 20% 100 20(100) = 2000

Project 10% 100 10(100) = 1000Final 25% 82 25(82) = 2050

w

xwX

)(

Sum the column of w

Σ(w∙x) = 8470

Page 17: Weighted Mean - Class Average

3.1 - 17

Example 10: Class AverageCalculate a students class average based on the following grades.

Component Percent, w Grade, x w∙xTest 1 15% 84 15(84) = 1260Test 2 15% 89 15(89) = 1335Test 3 15% 55 15(55) = 825Web based HomeworkAssignments 20% 100 20(100) = 2000

Project 10% 100 10(100) = 1000Final 25% 82 25(82) = 2050

w

xwX

)( Sum the column for w∙xΣ(w∙x) = 8470Σw = 100

Page 18: Weighted Mean - Class Average

3.1 - 18

Example 10: Class AverageCalculate a students class average based on the following grades.

Component Percent, w Grade, x w∙xTest 1 15% 84 15(84) = 1260Test 2 15% 89 15(89) = 1335Test 3 15% 55 15(55) = 825Web based HomeworkAssignments 20% 100 20(100) = 2000

Project 10% 100 10(100) = 1000Final 25% 82 25(82) = 2050

w

xwX

)(Σ(w∙x) = 8470Σw = 100

Page 19: Weighted Mean - Class Average

3.1 - 19

Example 10: Class AverageCalculate a students class average based on the following grades.

Component Percent, w Grade, x w∙xTest 1 15% 84 15(84) = 1260Test 2 15% 89 15(89) = 1335Test 3 15% 55 15(55) = 825Web based HomeworkAssignments 20% 100 20(100) = 2000

Project 10% 100 10(100) = 1000Final 25% 82 25(82) = 2050

1008470)(

w

xwX

Σ(w∙x) = 8470Σw = 100

Page 20: Weighted Mean - Class Average

3.1 - 20

Example 10: Class AverageCalculate a students class average based on the following grades.

Component Percent, w Grade, x w∙xTest 1 15% 84 15(84) = 1260Test 2 15% 89 15(89) = 1335Test 3 15% 55 15(55) = 825Web based HomeworkAssignments 20% 100 20(100) = 2000

Project 10% 100 10(100) = 1000Final 25% 82 25(82) = 2050

7.841008470)(

w

xwX

Σ(w∙x) = 8470Σw = 100

Page 21: Weighted Mean - Class Average

3.1 - 21

Example 10: Class AverageCalculate a students class average based on the following grades.

Component Percent, w Grade, x w∙xTest 1 15% 84 15(84) = 1260Test 2 15% 89 15(89) = 1335Test 3 15% 55 15(55) = 825Web based HomeworkAssignments 20% 100 20(100) = 2000

Project 10% 100 10(100) = 1000Final 25% 82 25(82) = 2050

7.841008470)(

w

xwX

Σ(w∙x) = 8470Σw = 100

This student’s class average is an 84.7 or a B.