PINK is calculating her final weighted mean grade in her Music class. In the course, assignments are worth 15%, each quiz is worth 5%, the presentation is worth 25%, and the final exam is worth 45%.
Madonna earned:
• 17/20 on her assignments
• 66/100 on her presentation
10/10, 9/10, and 8/10 on her quizzes
82% on her final exam
What is PINK's final weighted mean grade?
Break down step by step
Step 1: Calculate the weighted score for each category:
Assignments: (17/20) * 15% = 0.85 * 15 = 12.75
Quizzes: ((10/10) + (9/10) + (8/10)) / 3 * 5% = 0.9667 * 5 = 4.833
Presentation: (66/100) * 25% = 0.66 * 25 = 16.5
Final Exam: 82% * 45% = 0.82 * 45 = 36.9
Step 2: Add up all the weighted scores:
12.75 + 4.833 + 16.5 + 36.9 = 70.033
Step 3: Calculate the final weighted mean grade by adding up the weighted scores and dividing by the total weight:
70.033 / (15% + 5% + 25% + 45%) = 70.033 / 90% = 77.814
Therefore, PINK's final weighted mean grade in her Music class is 77.814.