
item	Tali's score	weight
final exam	100%	32%
midterm exam	60%	30%
quizzes	80%	28%
attendance	100%	10%
 Use the information in the table to compute Tali's grade

To calculate Tali's overall grade based on the provided information, we'll use a weighted average formula. The formula is as follows:

\[
\text{Weighted Grade} = \left( \text{Score}_1 \times \text{Weight}_1 \right) + \left( \text{Score}_2 \times \text{Weight}_2 \right) + \dots + \left( \text{Score}_n \times \text{Weight}_n \right)
\]

Now, applying this formula to Tali's scores:

\[
\text{Tali's Grade} = \left( 100\% \times 32\% \right) + \left( 60\% \times 30\% \right) + \left( 80\% \times 28\% \right) + \left( 100\% \times 10\% \right)
\]

Converting percentages into decimal form:

\[
= \left( 1.00 \times 0.32 \right) + \left( 0.60 \times 0.30 \right) + \left( 0.80 \times 0.28 \right) + \left( 1.00 \times 0.10 \right)
\]

\[
= 0.32 + 0.18 + 0.224 + 0.10
\]

\[
= 0.824 \, \text{or} \, 82.4\%
\]

Tali's final grade is **82.4%**.

Would you like further details or have any questions?

Here are 5 questions to expand on this:
1. How does weighting affect overall grades in general?
2. What happens if one of Tali’s scores improves?
3. How would removing one of the score categories change the final grade?
4. How can you use Excel or other tools to calculate weighted averages?
5. Why are weighted averages used instead of simple averages in grading?

**Tip:** Always check that the sum of the weights equals 100% to ensure accuracy in weighted grade calculations.

Use the information in the table to compute Tali's grade: item Tali's score weight final exam 100% 32% midterm exam 60% 30% quizzes 80% 28% attendance 100% 10%

Learn how to calculate Tali's final grade using a weighted average. The problem uses scores from different categories, including final exam, midterm exam, quizzes, and attendance, with respective weights. Suitable for students in Grades 9-12.

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