Math Problem Statement
In your calculus class, your final grade is based on four categories. The categories are tests, labs, homework assignments, and a final exam. The final average for the course is the weighted average of scores earned in these categories with the following weights.
Assignments Tests Labs Homework Final Exam Weights 51% 11% 17% 21%
Suppose you earned the following grades on each of the categories; 86% on tests, 70% on labs, 80% on homework assignments, and 91% on the final exam. Determine your weighted average in the course. Record the average below as a percentage accurate to two decimal places.
Course Average: %
Solution
To calculate your weighted average in the course, we will use the following formula for the weighted average:
Here are the grades and their corresponding weights:
- Test grade: 86%, Weight: 11% (0.11)
- Lab grade: 70%, Weight: 17% (0.17)
- Homework grade: 80%, Weight: 21% (0.21)
- Final Exam grade: 91%, Weight: 51% (0.51)
Now, let’s calculate the weighted average:
Let me compute that.The weighted average for your course is 84.57%, accurate to two decimal places.
Would you like any further details or have questions about this calculation?
Here are 5 follow-up questions you might consider:
- How do different weights affect your overall grade?
- What would happen if the weight of the final exam changed?
- How can you improve your weighted average in a specific category?
- How are weighted averages used in other fields besides education?
- How would missing an assignment impact your final grade?
Tip: Always double-check the weights and scores when calculating weighted averages to ensure accuracy.
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Math Problem Analysis
Mathematical Concepts
Weighted Averages
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 10-12
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