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 20 13 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 20 13 out of 256 out of 10 = 25% 6 10 = 60% 5 20 1515 = 20% 13 25 = 52%

4. Week1Week1 Week2Week2 Lisa Bart 1 out of 55 out of 20 13 out of 256 out of 10 = 25% 6 10 = 60% 5 20 1515 = 20% 13 25 = 52%

5. Week1Week1 Week2Week2 Lisa Bart 1 out of 55 out of 20 13 out of 256 out of 10 1515 = 20% 13 25 = 52% = 25% 6 10 = 60% 5 20 OverallOverall 14 out of 3011 out of 30 11 30 = 36.7% 14 30 = 46.7%

6. Week1Week1 Week2Week2 Lisa Bart 1 out of 55 out of 20 13 out of 256 out of 10 1515 = 20% 13 25 = 52% = 25% 6 10 = 60% 5 20 OverallOverall 14 out of 3011 out of 30 11 30 = 36.7% 14 30 = 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 43.33 pts Contributes 26 pts Contributes 10 pts Contributes 3.33 pts Contributes 20 pts Contributes 30 pts Contributes 12.5 pts Contributes 16.67 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  0.20 + W 2  0.52. What should the value of the weights W 1 and W 2 ? 20% 52%