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To find the student's weighted mean score, we need to multiply each score by its respective weight (percent of the final grade) and then sum these products. The weights must be converted into decimal form (percent divided by 100) for the calculation.

The data provided is as follows:

- Homework: Score = 86, Weight = 10%
- Quiz 1: Score = 89, Weight = 15%
- Quiz 2: Score = 85, Weight = 15%
- Project: Score = 95, Weight = 30%
- Final Exam: Score = 94, Weight = 30%

Now, let's calculate the weighted mean:

\[
\text{Weighted mean} = (86 \times 0.10) + (89 \times 0.15) + (85 \times 0.15) + (95 \times 0.30) + (94 \times 0.30)
\]

First, compute each term:

\[
86 \times 0.10 = 8.60
\]
\[
89 \times 0.15 = 13.35
\]
\[
85 \times 0.15 = 12.75
\]
\[
95 \times 0.30 = 28.50
\]
\[
94 \times 0.30 = 28.20
\]

Now, sum these values:

\[
8.60 + 13.35 + 12.75 + 28.50 + 28.20 = 91.40
\]

Thus, the student's weighted mean score is **91.40**.

Would you like more details or have any questions?

Here are five related questions:
1. How is a weighted mean different from an arithmetic mean?
2. Why is it important to use percentages when calculating weighted means?
3. Can weighted averages apply to other areas besides grades? If so, where?
4. What happens if the total weight does not add up to 100%?
5. How can rounding affect the accuracy of a weighted mean calculation?

**Tip:** Always ensure the sum of the weights adds up to 100% to avoid skewing the final weighted mean.

The scores and their percent of the final grade for a statistics student are given. What is the student's weighted mean score? Scores: Homework = 86 (10%), Quiz 1 = 89 (15%), Quiz 2 = 85 (15%), Project = 95 (30%), Final Exam = 94 (30%).

Learn how to calculate the weighted mean score for a student based on their homework, quizzes, project, and final exam scores. This problem involves weighted averages and percentages, providing a step-by-step solution. Suitable for high school students.

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