Professor Ivy has given the following weights to her grades:
Weight of Area
Homework
5%
Projects
20%
Quiz
15%
Exams
60%
Your friend has the following averages:
Homework: 99
Projects: 85
Quizzes: 30
Exams: 70
Calculate his grade for the class, rounded to the nearest 2 decimal places. Do not include units with your answer.
To calculate your friend's grade for the class, we need to multiply each average by its respective weight, then sum up the results.
Here's the breakdown:
Homework average: 99
Weight: 5%
Contribution: 99 * 0.05 = 4.95
Projects average: 85
Weight: 20%
Contribution: 85 * 0.20 = 17
Quiz average: 30
Weight: 15%
Contribution: 30 * 0.15 = 4.5
Exams average: 70
Weight: 60%
Contribution: 70 * 0.60 = 42
Now, let's add up the contributions:
4.95 + 17 + 4.5 + 42 = 68.45
Your friend's grade for the class is 68.45.
To calculate your friend's grade for the class, you need to multiply each average by its respective weight and then sum up the results. Then, divide that sum by 100 to get the final grade on a scale from 0 to 1. Finally, multiply the final grade by 100 and round it to the nearest 2 decimal places to get the percentage grade.
Here's how you can calculate it step by step:
1. Multiply the average homework grade (99) by its weight (5% = 0.05):
Homework contribution = 99 * 0.05 = 4.95
2. Multiply the average project grade (85) by its weight (20% = 0.20):
Projects contribution = 85 * 0.20 = 17
3. Multiply the average quiz grade (30) by its weight (15% = 0.15):
Quiz contribution = 30 * 0.15 = 4.5
4. Multiply the average exam grade (70) by its weight (60% = 0.60):
Exam contribution = 70 * 0.60 = 42
5. Sum up all the contributions:
Total grade = Homework contribution + Projects contribution + Quiz contribution + Exam contribution
= 4.95 + 17 + 4.5 + 42
= 68.45
6. Divide the total grade by 100 to get the final grade on a scale from 0 to 1:
Final grade = Total grade / 100
= 68.45 / 100
= 0.6845
7. Multiply the final grade by 100 and round it to the nearest 2 decimal places to get the percentage grade:
Percentage grade = round(Final grade * 100, 2)
= round(0.6845 * 100, 2)
= round(68.45, 2)
= 68.45 (rounded to the nearest 2 decimal places)
Therefore, your friend's grade for the class is 68.45 (rounded to the nearest 2 decimal places).
just form the weighted average of the scores.
.05*99 + .20*85 + .15*30 + .60*70 = 68.45