weighted mean - class average
TRANSCRIPT
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%
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
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
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
)(
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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.