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3.1 - 1
Desk Work 6: 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%
3.1 - 2
Desk Work 6: Class Average
Calculate a students class average based on the
following grades.
Component Percent Grade
Test 1 15% 76
Test 2 15% 68
Test 3 15% 77
Web based Homework
Assignments 20% 100
Project 10% 100
Final 25% 79
3.1 - 3
Desk Work 6: Class Average
Calculate a students class average based on the
following grades.
Component Percent Grade
Test 1 15% 76
Test 2 15% 68
Test 3 15% 77
Web based Homework
Assignments 20% 100
Project 10% 100
Final 25% 79
Class average is calculated using a weighted mean
3.1 - 4
Desk Work 6: Class Average
Calculate a students class average based on the
following grades.
Component Percent Grade
Test 1 15% 76
Test 2 15% 68
Test 3 15% 77
Web based Homework
Assignments 20% 100
Project 10% 100
Final 25% 79
Class average is calculated using a weighted mean
∑
∑ ⋅
=
w
xw
X
)(
3.1 - 5
Desk Work 6: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x
Test 1 15% 76
Test 2 15% 68
Test 3 15% 77
Web based Homework
Assignments 20% 100
Project 10% 100
Final 25% 79
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 Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x
Test 1 15% 76
Test 2 15% 68
Test 3 15% 77
Web based Homework
Assignments 20% 100
Project 10% 100
Final 25% 79
∑
∑ ⋅
=
w
xw
X
)( Create a column for w∙x
3.1 - 7
Desk Work 6: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 76
Test 2 15% 68
Test 3 15% 77
Web based Homework
Assignments 20% 100
Project 10% 100
Final 25% 79
∑
∑ ⋅
=
w
xw
X
)( Create a column for w∙x
3.1 - 8
Desk Work 6: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 76 15(76) = 1140
Test 2 15% 68
Test 3 15% 77
Web based Homework
Assignments 20% 100
Project 10% 100
Final 25% 79
∑
∑ ⋅
=
w
xw
X
)( Create a column for w∙x
3.1 - 9
Desk Work 6: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 76 15(76) = 1140
Test 2 15% 68 15(68) = 1020
Test 3 15% 77
Web based Homework
Assignments 20% 100
Project 10% 100
Final 25% 79
∑
∑ ⋅
=
w
xw
X
)( Create a column for w∙x
3.1 - 10
Desk Work 6: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 76 15(76) = 1140
Test 2 15% 68 15(68) = 1020
Test 3 15% 77 15(77) = 1155
Web based Homework
Assignments 20% 100
Project 10% 100
Final 25% 79
∑
∑ ⋅
=
w
xw
X
)( Create a column for w∙x
3.1 - 11
Desk Work 6: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 76 15(76) = 1140
Test 2 15% 68 15(68) = 1020
Test 3 15% 77 15(77) = 1155
Web based Homework
Assignments 20% 100 20(100) = 2000
Project 10% 100
Final 25% 79
∑
∑ ⋅
=
w
xw
X
)( Create a column for w∙x
3.1 - 12
Desk Work 6: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 76 15(76) = 1140
Test 2 15% 68 15(68) = 1020
Test 3 15% 77 15(77) = 1155
Web based Homework
Assignments 20% 100 20(100) = 2000
Project 10% 100 10(100) = 1000
Final 25% 79
∑
∑ ⋅
=
w
xw
X
)( Create a column for w∙x
3.1 - 13
Desk Work 6: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 76 15(76) = 1140
Test 2 15% 68 15(68) = 1020
Test 3 15% 77 15(77) = 1155
Web based Homework
Assignments 20% 100 20(100) = 2000
Project 10% 100 10(100) = 1000
Final 25% 79 25(79) = 1975
∑
∑ ⋅
=
w
xw
X
)( Create a column for w∙x
3.1 - 14
Desk Work 6: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 76 15(76) = 1140
Test 2 15% 68 15(68) = 1020
Test 3 15% 77 15(77) = 1155
Web based Homework
Assignments 20% 100 20(100) = 2000
Project 10% 100 10(100) = 1000
Final 25% 79 25(79) = 1975
∑
∑ ⋅
=
w
xw
X
)( Sum the column for w∙x
3.1 - 15
Desk Work 6: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 76 15(76) = 1140
Test 2 15% 68 15(68) = 1020
Test 3 15% 77 15(77) = 1155
Web based Homework
Assignments 20% 100 20(100) = 2000
Project 10% 100 10(100) = 1000
Final 25% 79 25(79) = 1975
∑
∑ ⋅
=
w
xw
X
)( Sum the column for w∙x
Σ(w∙x) = 8290
3.1 - 16
Desk Work 6: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 76 15(76) = 1140
Test 2 15% 68 15(68) = 1020
Test 3 15% 77 15(77) = 1155
Web based Homework
Assignments 20% 100 20(100) = 2000
Project 10% 100 10(100) = 1000
Final 25% 79 25(79) = 1975
∑
∑ ⋅
=
w
xw
X
)(
Sum the column of w
Σ(w∙x) = 8290
3.1 - 17
Desk Work 6: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 76 15(76) = 1140
Test 2 15% 68 15(68) = 1020
Test 3 15% 77 15(77) = 1155
Web based Homework
Assignments 20% 100 20(100) = 2000
Project 10% 100 10(100) = 1000
Final 25% 79 25(79) = 1975
∑
∑ ⋅
=
w
xw
X
)( Sum the column for w∙x
Σ(w∙x) = 8290Σw = 100
3.1 - 18
Desk Work 6: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 76 15(76) = 1140
Test 2 15% 68 15(68) = 1020
Test 3 15% 77 15(77) = 1155
Web based Homework
Assignments 20% 100 20(100) = 2000
Project 10% 100 10(100) = 1000
Final 25% 79 25(79) = 1975
∑
∑ ⋅
=
w
xw
X
)(
Σ(w∙x) = 8290Σw = 100
3.1 - 19
Desk Work 6: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 76 15(76) = 1140
Test 2 15% 68 15(68) = 1020
Test 3 15% 77 15(77) = 1155
Web based Homework
Assignments 20% 100 20(100) = 2000
Project 10% 100 10(100) = 1000
Final 25% 79 25(79) = 1975
100
8290)(
=
⋅
=
∑
∑
w
xw
X
Σ(w∙x) = 8290Σw = 100
3.1 - 20
Desk Work 6: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 76 15(76) = 1140
Test 2 15% 68 15(68) = 1020
Test 3 15% 77 15(77) = 1155
Web based Homework
Assignments 20% 100 20(100) = 2000
Project 10% 100 10(100) = 1000
Final 25% 79 25(79) = 1975
9.82
100
8290)(
==
⋅
=
∑
∑
w
xw
X
Σ(w∙x) = 8290Σw = 100
3.1 - 21
Desk Work 6: Class Average
Calculate a students class average based on the
following grades.
Component Percent, w Grade, x w∙x
Test 1 15% 76 15(76) = 1140
Test 2 15% 68 15(68) = 1020
Test 3 15% 77 15(77) = 1155
Web based Homework
Assignments 20% 100 20(100) = 2000
Project 10% 100 10(100) = 1000
Final 25% 79 25(79) = 1975
9.82
100
8290)(
==
⋅
=
∑
∑
w
xw
X
Σ(w∙x) = 8290Σw = 100
This student’s class
average is an 82.9
or a B.

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Weighted Mean - Class Average (Desk Work 6)

  • 1. 3.1 - 1 Desk Work 6: 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 Desk Work 6: Class Average Calculate a students class average based on the following grades. Component Percent Grade Test 1 15% 76 Test 2 15% 68 Test 3 15% 77 Web based Homework Assignments 20% 100 Project 10% 100 Final 25% 79
  • 3. 3.1 - 3 Desk Work 6: Class Average Calculate a students class average based on the following grades. Component Percent Grade Test 1 15% 76 Test 2 15% 68 Test 3 15% 77 Web based Homework Assignments 20% 100 Project 10% 100 Final 25% 79 Class average is calculated using a weighted mean
  • 4. 3.1 - 4 Desk Work 6: Class Average Calculate a students class average based on the following grades. Component Percent Grade Test 1 15% 76 Test 2 15% 68 Test 3 15% 77 Web based Homework Assignments 20% 100 Project 10% 100 Final 25% 79 Class average is calculated using a weighted mean ∑ ∑ ⋅ = w xw X )(
  • 5. 3.1 - 5 Desk Work 6: Class Average Calculate a students class average based on the following grades. Component Percent, w Grade, x Test 1 15% 76 Test 2 15% 68 Test 3 15% 77 Web based Homework Assignments 20% 100 Project 10% 100 Final 25% 79 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% 76 Test 2 15% 68 Test 3 15% 77 Web based Homework Assignments 20% 100 Project 10% 100 Final 25% 79 ∑ ∑ ⋅ = w xw X )( Create a column for w∙x
  • 7. 3.1 - 7 Desk Work 6: Class Average Calculate a students class average based on the following grades. Component Percent, w Grade, x w∙x Test 1 15% 76 Test 2 15% 68 Test 3 15% 77 Web based Homework Assignments 20% 100 Project 10% 100 Final 25% 79 ∑ ∑ ⋅ = w xw X )( Create a column for w∙x
  • 8. 3.1 - 8 Desk Work 6: Class Average Calculate a students class average based on the following grades. Component Percent, w Grade, x w∙x Test 1 15% 76 15(76) = 1140 Test 2 15% 68 Test 3 15% 77 Web based Homework Assignments 20% 100 Project 10% 100 Final 25% 79 ∑ ∑ ⋅ = w xw X )( Create a column for w∙x
  • 9. 3.1 - 9 Desk Work 6: Class Average Calculate a students class average based on the following grades. Component Percent, w Grade, x w∙x Test 1 15% 76 15(76) = 1140 Test 2 15% 68 15(68) = 1020 Test 3 15% 77 Web based Homework Assignments 20% 100 Project 10% 100 Final 25% 79 ∑ ∑ ⋅ = w xw X )( Create a column for w∙x
  • 10. 3.1 - 10 Desk Work 6: Class Average Calculate a students class average based on the following grades. Component Percent, w Grade, x w∙x Test 1 15% 76 15(76) = 1140 Test 2 15% 68 15(68) = 1020 Test 3 15% 77 15(77) = 1155 Web based Homework Assignments 20% 100 Project 10% 100 Final 25% 79 ∑ ∑ ⋅ = w xw X )( Create a column for w∙x
  • 11. 3.1 - 11 Desk Work 6: Class Average Calculate a students class average based on the following grades. Component Percent, w Grade, x w∙x Test 1 15% 76 15(76) = 1140 Test 2 15% 68 15(68) = 1020 Test 3 15% 77 15(77) = 1155 Web based Homework Assignments 20% 100 20(100) = 2000 Project 10% 100 Final 25% 79 ∑ ∑ ⋅ = w xw X )( Create a column for w∙x
  • 12. 3.1 - 12 Desk Work 6: Class Average Calculate a students class average based on the following grades. Component Percent, w Grade, x w∙x Test 1 15% 76 15(76) = 1140 Test 2 15% 68 15(68) = 1020 Test 3 15% 77 15(77) = 1155 Web based Homework Assignments 20% 100 20(100) = 2000 Project 10% 100 10(100) = 1000 Final 25% 79 ∑ ∑ ⋅ = w xw X )( Create a column for w∙x
  • 13. 3.1 - 13 Desk Work 6: Class Average Calculate a students class average based on the following grades. Component Percent, w Grade, x w∙x Test 1 15% 76 15(76) = 1140 Test 2 15% 68 15(68) = 1020 Test 3 15% 77 15(77) = 1155 Web based Homework Assignments 20% 100 20(100) = 2000 Project 10% 100 10(100) = 1000 Final 25% 79 25(79) = 1975 ∑ ∑ ⋅ = w xw X )( Create a column for w∙x
  • 14. 3.1 - 14 Desk Work 6: Class Average Calculate a students class average based on the following grades. Component Percent, w Grade, x w∙x Test 1 15% 76 15(76) = 1140 Test 2 15% 68 15(68) = 1020 Test 3 15% 77 15(77) = 1155 Web based Homework Assignments 20% 100 20(100) = 2000 Project 10% 100 10(100) = 1000 Final 25% 79 25(79) = 1975 ∑ ∑ ⋅ = w xw X )( Sum the column for w∙x
  • 15. 3.1 - 15 Desk Work 6: Class Average Calculate a students class average based on the following grades. Component Percent, w Grade, x w∙x Test 1 15% 76 15(76) = 1140 Test 2 15% 68 15(68) = 1020 Test 3 15% 77 15(77) = 1155 Web based Homework Assignments 20% 100 20(100) = 2000 Project 10% 100 10(100) = 1000 Final 25% 79 25(79) = 1975 ∑ ∑ ⋅ = w xw X )( Sum the column for w∙x Σ(w∙x) = 8290
  • 16. 3.1 - 16 Desk Work 6: Class Average Calculate a students class average based on the following grades. Component Percent, w Grade, x w∙x Test 1 15% 76 15(76) = 1140 Test 2 15% 68 15(68) = 1020 Test 3 15% 77 15(77) = 1155 Web based Homework Assignments 20% 100 20(100) = 2000 Project 10% 100 10(100) = 1000 Final 25% 79 25(79) = 1975 ∑ ∑ ⋅ = w xw X )( Sum the column of w Σ(w∙x) = 8290
  • 17. 3.1 - 17 Desk Work 6: Class Average Calculate a students class average based on the following grades. Component Percent, w Grade, x w∙x Test 1 15% 76 15(76) = 1140 Test 2 15% 68 15(68) = 1020 Test 3 15% 77 15(77) = 1155 Web based Homework Assignments 20% 100 20(100) = 2000 Project 10% 100 10(100) = 1000 Final 25% 79 25(79) = 1975 ∑ ∑ ⋅ = w xw X )( Sum the column for w∙x Σ(w∙x) = 8290Σw = 100
  • 18. 3.1 - 18 Desk Work 6: Class Average Calculate a students class average based on the following grades. Component Percent, w Grade, x w∙x Test 1 15% 76 15(76) = 1140 Test 2 15% 68 15(68) = 1020 Test 3 15% 77 15(77) = 1155 Web based Homework Assignments 20% 100 20(100) = 2000 Project 10% 100 10(100) = 1000 Final 25% 79 25(79) = 1975 ∑ ∑ ⋅ = w xw X )( Σ(w∙x) = 8290Σw = 100
  • 19. 3.1 - 19 Desk Work 6: Class Average Calculate a students class average based on the following grades. Component Percent, w Grade, x w∙x Test 1 15% 76 15(76) = 1140 Test 2 15% 68 15(68) = 1020 Test 3 15% 77 15(77) = 1155 Web based Homework Assignments 20% 100 20(100) = 2000 Project 10% 100 10(100) = 1000 Final 25% 79 25(79) = 1975 100 8290)( = ⋅ = ∑ ∑ w xw X Σ(w∙x) = 8290Σw = 100
  • 20. 3.1 - 20 Desk Work 6: Class Average Calculate a students class average based on the following grades. Component Percent, w Grade, x w∙x Test 1 15% 76 15(76) = 1140 Test 2 15% 68 15(68) = 1020 Test 3 15% 77 15(77) = 1155 Web based Homework Assignments 20% 100 20(100) = 2000 Project 10% 100 10(100) = 1000 Final 25% 79 25(79) = 1975 9.82 100 8290)( == ⋅ = ∑ ∑ w xw X Σ(w∙x) = 8290Σw = 100
  • 21. 3.1 - 21 Desk Work 6: Class Average Calculate a students class average based on the following grades. Component Percent, w Grade, x w∙x Test 1 15% 76 15(76) = 1140 Test 2 15% 68 15(68) = 1020 Test 3 15% 77 15(77) = 1155 Web based Homework Assignments 20% 100 20(100) = 2000 Project 10% 100 10(100) = 1000 Final 25% 79 25(79) = 1975 9.82 100 8290)( == ⋅ = ∑ ∑ w xw X Σ(w∙x) = 8290Σw = 100 This student’s class average is an 82.9 or a B.