To calculate the student's weighted mean score, we use the following formula for the weighted mean:

$\text{Weighted Mean} = \frac{\sum (\text{Score} \times \text{Weight})}{\sum \text{Weights}}$

From the image, we have the following scores and corresponding percentages (weights) of the final grade:

• Homework: Score = 90, Weight = 15%
• Quiz: Score = 87, Weight = 5%
• Project: Score = 98, Weight = 50%
• Final Exam: Score = 87, Weight = 25%

We'll convert the percentages to decimals and compute the weighted mean score.

Let me calculate it for you.The student's weighted mean score is 88.60, rounded to two decimal places.

Would you like further details or have any questions?

Here are 5 follow-up questions that you might find useful:

1. What happens to the weighted mean if one score increases or decreases?
2. How do different weights influence the overall score?
3. Can this method be applied to other subjects or only for this quiz?
4. How would changing the weights affect the final grade outcome?
5. What is the difference between a weighted mean and a regular mean?

Tip: Always ensure that the sum of your weights equals 100% when calculating a weighted mean score.