Math Problem Statement
Solution
Let's break down the problem step by step:
Weights for the categories:
- Homework: 10%
- Module Quizzes: 10%
- Attendance: 10%
- Exam One: 20%
- Exam Two: 20%
- Final Exam: 30%
Scores received:
- Homework: 76
- Module Quizzes: 87
- Attendance: 80
- Exam One: 90
- Exam Two: 83
- Final Exam: 82 (as given in the problem)
To find the overall score, we will calculate the weighted average. This can be done by multiplying each score by its corresponding weight (as a decimal) and summing them up.
Let's calculate it:
I will compute this for you.The student's overall score, after receiving 82 on the Final Exam, is 83.50.
Do you want further details or have any questions?
Here are 5 related questions for further exploration:
- How would the overall score change if the student scored higher on the Final Exam?
- What is the minimum score the student needs on the Final Exam to achieve an overall score of 90?
- How would lowering the weight of the Final Exam impact the student's overall grade?
- Can you calculate the weighted average if the categories had different weights?
- What would be the overall score if the student improved their Homework score by 10 points?
Tip: Weighted averages are useful in grading systems and many real-world scenarios where certain elements have more importance than others.
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Math Problem Analysis
Mathematical Concepts
Weighted Averages
Percentage
Formulas
Weighted average = Σ (score × weight)
Theorems
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Suitable Grade Level
Grades 10-12
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