https://file.aiquickdraw.com/mathbot/file/1727395555858wo0yg6n3.jpg

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:

\[
\text{Overall Score} = (76 \times 0.1) + (87 \times 0.1) + (80 \times 0.1) + (90 \times 0.2) + (83 \times 0.2) + (82 \times 0.3)
\]

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:
1. How would the overall score change if the student scored higher on the Final Exam?
2. What is the minimum score the student needs on the Final Exam to achieve an overall score of 90?
3. How would lowering the weight of the Final Exam impact the student's overall grade?
4. Can you calculate the weighted average if the categories had different weights?
5. 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.

In this Statistics class, Homework, Module Quizzes, Attendance, Exam One, Exam Two, and Final make up 10%, 10%, 10%, 20%, 20%, 30% of the total grade respectively. Before the final exam, a student received 76 on Homework, 87 on Module Quizzes, 80 on Attendance, 90 on Exam One, 83 on Exam Two. What is the student's overall score if he receives 82 in the Final? Round to two decimal places.

Learn how to calculate the overall grade in a Statistics class using weighted averages. The problem involves scores in Homework, Module Quizzes, Attendance, Exams, and a Final. Follow the detailed step-by-step solution to find the overall score based on given weights.

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