Math Problem Statement
Solution
To determine the weighted average, we need to multiply each score by its respective weight and then sum these products. The weights are given as percentages, and the grades are also provided in percentages. Here's the information from the table:
- Tests: 44% (weight: 49%)
- Labs: 85% (weight: 10%)
- Homework: 73% (weight: 17%)
- Final Exam: 62% (weight: 24%)
We calculate the weighted average using the following formula:
Now I'll calculate this for you.The weighted average for your course is approximately 57.35%.
Would you like more details or have any further questions?
Here are 5 related questions you might find useful:
- How can the weights of different components affect the final grade?
- What happens if one of the grades is significantly higher than the others?
- How does a weighted average differ from a simple average?
- Can a weighted average be higher than any individual component's score?
- How could the final exam weight influence the course grade?
Tip: Always ensure the weights add up to 100% when calculating a weighted average.
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Math Problem Analysis
Mathematical Concepts
Weighted Average
Percentages
Formulas
Weighted Average = (Test Grade × Test Weight) + (Lab Grade × Lab Weight) + (Homework Grade × Homework Weight) + (Final Exam Grade × Final Exam Weight)
Theorems
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Suitable Grade Level
Grades 9-12
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