In Marissa’s calculus course, attendance counts for 15% of the grade, quizzes count for 15% of the grade, exams counts for 50% of the grade, and the final exam counts for 20% of the grade. Marissa had 100% average for attendance, 89% for quizzes, 82% for exams and 81% on the final. Determine Marissa’s course average.
(.15 * 100%) + (.15 * 89%) + (.50 * 82%) + (.20 * 81%) = ?
weight each score by its share of the total.
.15*100 + .15*89 + .50*82 + .20*81 = 85.55
To determine Marissa's course average, we need to calculate the weighted average based on the percentage weights given for each component of the grade.
Let's break it down step by step:
1. Attendance: Since attendance counts for 15% of the overall grade and Marissa has a 100% average for attendance, we can calculate the weighted contribution from attendance as 100% multiplied by 15%. This gives us 15 points.
2. Quizzes: Quizzes count for 15% of the overall grade, and Marissa has an 89% average for quizzes. So the weighted contribution from quizzes is 89% multiplied by 15%, which equals 13.35 points.
3. Exams: Exams count for 50% of the overall grade, and Marissa has an 82% average for exams. So the weighted contribution from exams is 82% multiplied by 50%, which equals 41 points.
4. Final Exam: The final exam counts for 20% of the overall grade, and Marissa has an 81% score on the final. So the weighted contribution from the final exam is 81% multiplied by 20%, which equals 16.2 points.
Now, we add up the weighted contributions from each component:
15 points (attendance) + 13.35 points (quizzes) + 41 points (exams) + 16.2 points (final exam) = 85.55 points
Therefore, Marissa's course average is 85.55%.