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:

Course Average=(100×0.05)+(93×0.10)+(86×0.60)+(81×0.25)\text{Course Average} = (100 \times 0.05) + (93 \times 0.10) + (86 \times 0.60) + (81 \times 0.25)

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:

  1. How do weighted averages work in grading systems?
  2. What if the final exam had a higher weight, how would it affect the overall average?
  3. How can I calculate my grade for a course if one component is missing?
  4. What happens to the average if Marissa improves her exam score?
  5. 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