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In the first week, Lisa got 1 out of 5 problems correct whereas Bart got 5 out of 20 problems correct. In the second week, Lisa got 13 out of the remaining.

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Presentation on theme: "In the first week, Lisa got 1 out of 5 problems correct whereas Bart got 5 out of 20 problems correct. In the second week, Lisa got 13 out of the remaining."— Presentation transcript:

1 In the first week, Lisa got 1 out of 5 problems correct whereas Bart got 5 out of 20 problems correct. In the second week, Lisa got 13 out of the remaining 25 problems correct, whereas Bart got 6 out of the remaining 10 problems correct.

2 Week1Week1 Week2Week2 Lisa Bart 1 out of 55 out of out of 256 out of 10 In the first week, Lisa got 1 out of 5 problems correct whereas Bart got 5 out of 20 problems correct. In the second week, Lisa got 13 out of the remaining 25 problems correct, whereas Bart got 6 out of the remaining 10 problems correct.

3 Week1Week1 Week2Week2 Lisa Bart 1 out of 55 out of out of 256 out of 10 = 25% 6 10 = 60% = 20% = 52%

4 Week1Week1 Week2Week2 Lisa Bart 1 out of 55 out of out of 256 out of 10 = 25% 6 10 = 60% = 20% = 52%

5 Week1Week1 Week2Week2 Lisa Bart 1 out of 55 out of out of 256 out of = 20% = 52% = 25% 6 10 = 60% 5 20 OverallOverall 14 out of 3011 out of = 36.7% = 46.7%

6 Week1Week1 Week2Week2 Lisa Bart 1 out of 55 out of out of 256 out of = 20% = 52% = 25% 6 10 = 60% 5 20 OverallOverall 14 out of 3011 out of = 36.7% = 46.7%

7 Week1Week1 Week2Week2 Lisa Bart 1 out of 5 is 20% 13 out of 25 is 52% 14 out of 30 is 46.7% OverallOverall 11 out of 30 is 36.7% 5 out of 20 is 25% 6 out of 10 is 60%

8 Week1Week1 Week2Week2 Lisa Bart 1 out of 5 is 20% 13 out of 25 is 52% 14 out of 30 is 46.7% OverallOverall 20%25% 52%60% 11 out of 30 is 36.7% 5 out of 20 is 25% 6 out of 10 is 60%

9 Week1Week1 Week2Week2 Lisa Bart 1 out of 5 is 20% 13 out of 25 is 52% 14 out of 30 is 46.7% OverallOverall 20%25% 52%60% Average of 20% and 52% is 36% 11 out of 30 is 36.7% Average of 25% and 60% is 42.5% 5 out of 20 is 25% 6 out of 10 is 60%

10 Week1Week1 Week2Week2 Lisa Bart OverallOverall 20%25% 52%60% Average of 20% and 52% is 36% Average of 25% and 60% is 42.5% 14 out of 30 is 46.7% 11 out of 30 is 36.7% 1 out of 5 is 20% 13 out of 25 is 52% 5 out of 20 is 25% 6 out of 10 is 60%

11 Week1Week1 Week2Week2 Lisa Bart OverallOverall 20%25% 52%60% Average of 20% and 52% is 36% Average of 25% and 60% is 42.5% 14 out of 30 is 46.7% 11 out of 30 is 36.7% 1 out of 5 is 20% 13 out of 25 is 52% 5 out of 20 is 25% 6 out of 10 is 60% Each item worths 20 pts Each item worths 4 pts Each item worths 3.33 pts Each item worths 5 pts Each item worths 10 pts Each item worths 3.33 pts

12 Lisa Bart OverallOverall Average of 20% and 52% is 36% Average of 25% and 60% is 42.5% 14 out of 30 is 46.7% 11 out of 30 is 36.7% Contributes pts Contributes 26 pts Contributes 10 pts Contributes 3.33 pts Contributes 20 pts Contributes 30 pts Contributes 12.5 pts Contributes pts

13 Week1Week1 Week2Week2 Lisa 1 out of 5 13 out of 25 We can compute Lisa’s overall score by using weighted average: Score = W 1  W 2  What should the value of the weights W 1 and W 2 ? 20% 52%


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