Weighted Averages Worksheet
A Grade 12 Math worksheet focusing on understanding and calculating weighted averages in various real-world scenarios.
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Weighted Averages Mastery
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Read each question carefully and provide detailed answers. Show all your work for calculations.
1. Explain the difference between a simple average and a weighted average. Provide an example where a weighted average would be more appropriate.
2. In a weighted average, each data point is multiplied by a before summing and dividing.
3. The sum of all weights in a weighted average calculation should ideally equal or .
4. A student's final grade is calculated based on the following components: Homework (20%), Quizzes (30%), Midterm Exam (25%), and Final Exam (25%). If the student scored 90% on Homework, 75% on Quizzes, 80% on the Midterm, and 88% on the Final, what is their weighted average final grade?
5. A company manufactures three products: A, B, and C. Product A sells for $10 with 500 units sold, Product B sells for $15 with 300 units sold, and Product C sells for $20 with 200 units sold. What is the weighted average selling price per unit?
$13.50
$14.00
$14.50
$15.00
6. A portfolio consists of three stocks: Stock X, Stock Y, and Stock Z. Stock X has a value of $50,000 and returned 12% last year. Stock Y has a value of $75,000 and returned 8% last year. Stock Z has a value of $25,000 and returned 15% last year. Calculate the weighted average return of the portfolio.
7. If all weights in a weighted average are equal, the weighted average is the same as the simple average.
True
False