Post on 01-Apr-2015
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.
Week
1
Week
2
Lisa Bart1 out of 5 5 out of 20
13 out of 25 6 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.
Week
1
Week
2
Lisa Bart1 out of 5 5 out of 20
13 out of 25 6 out of 10
= 25%
610 = 60%
520
15 = 20%
1325 = 52%
Week
1
Week
2
Lisa Bart1 out of 5 5 out of 20
13 out of 25 6 out of 10
= 25%
610 = 60%
520
15 = 20%
1325 = 52%
Week
1
Week
2
Lisa Bart1 out of 5 5 out of 20
13 out of 25 6 out of 10
15 = 20%
1325 = 52%
= 25%
610 = 60%
520
Overall
14 out of 30 11 out of 30
1130 = 36.7%14
30 = 46.7%
Week
1
Week
2
Lisa Bart1 out of 5 5 out of 20
13 out of 25 6 out of 10
15 = 20%
1325 = 52%
= 25%
610 = 60%
520
Overall
14 out of 30 11 out of 30
1130 = 36.7%14
30 = 46.7%
Week
1
Week
2
Lisa Bart1 out of 5 is 20%
13 out of 25 is 52%
14 out of 30 is 46.7%
Overall
11 out of 30 is 36.7%
5 out of 20 is 25%
6 out of 10 is 60%
Week
1
Week
2
Lisa Bart1 out of 5 is 20%
13 out of 25 is 52%
14 out of 30 is 46.7%
Overall
20% 25%
52% 60%
11 out of 30 is 36.7%
5 out of 20 is 25%
6 out of 10 is 60%
Week
1
Week
2
Lisa Bart1 out of 5 is 20%
13 out of 25 is 52%
14 out of 30 is 46.7%
Overall
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%
Week
1
Week
2
Lisa Bart
Overall
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%
Week
1
Week
2
Lisa Bart
Overall
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
Lisa Bart
Overall
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%
Contributes43.33 pts Contributes
26 pts
Contributes10 pts
Contributes3.33 pts
Contributes20 pts Contributes
30 pts
Contributes12.5 pts
Contributes16.67 pts
Week
1
Week
2
Lisa1 out of 5
13 out of 25
We can compute Lisa’s overall score by using weighted average: Score = W1 0.20 + W2 0.52.
What should the value of the weights W1 and W2?
20%
52%