Math Problem Statement
In Marissa's calculus course, attendance counts for 5%
of the grade, quizzes count for
10% of the grade, exams count for 60% and the final exam counts for 25% Marissa had a
100% average for attendance,
93%
for quizzes, %
for exams 86% , and
81%
on the final. Determine Marissa's course average.
Solution
To determine Marissa's overall course average, we will calculate a weighted average based on the given percentages for each category:
- Attendance: 5% of the grade
- Quizzes: 10% of the grade
- Exams: 60% of the grade
- Final Exam: 25% of the grade
The grades for each category are:
- Attendance: 100%
- Quizzes: 93%
- Exams: 86%
- Final Exam: 81%
To calculate the weighted average:
Let me calculate that for you.Marissa's overall course average is 86.15%.
Would you like further details or have any questions? Here are five related questions you might find helpful:
- How do weighted averages work in grading systems?
- What if the final exam had a higher weight, how would it affect the overall average?
- How can I calculate my grade for a course if one component is missing?
- What happens to the average if Marissa improves her exam score?
- How can percentage weights be applied in other grading systems?
Tip: Always check if the total percentage weight adds up to 100% when calculating a weighted average.
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Math Problem Analysis
Mathematical Concepts
Weighted Average
Percentage
Formulas
Course Average = (Attendance × 0.05) + (Quizzes × 0.10) + (Exams × 0.60) + (Final Exam × 0.25)
Theorems
Weighted Average Theorem
Suitable Grade Level
Grades 9-12
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