Weighted Averages Worksheet - Grade 11
This worksheet focuses on understanding and calculating weighted averages, a key concept in probability and statistics for Grade 11 students.
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Weighted Averages
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Read each question carefully and calculate the weighted average. Show all your work.
1. A student's final grade in a course is determined by the following components: Quizzes (20%), Midterm Exam (30%), and Final Exam (50%). If a student scored 85% on quizzes, 70% on the midterm, and 75% on the final, what is their weighted average grade for the course?
2. In a company, salaries are distributed as follows: 10 employees earn $40,000 each, 5 employees earn $60,000 each, and 1 employee earns $100,000. What is the weighted average salary of an employee in this company?
$45,000
$50,000
$55,000
$60,000
3. The formula for a weighted average is the sum of each value multiplied by its , divided by the sum of the .
4. A simple average is a special case of a weighted average where all weights are equal.
True
False
5. A portfolio consists of three stocks: Stock A (value $5,000, return 8%), Stock B (value $10,000, return 5%), and Stock C (value $15,000, return 10%). Calculate the weighted average return of the portfolio.
6. Consider a balance scale where weights are placed at different positions. If a 2kg weight is placed at position -3 and a 3kg weight is placed at position 2, where should a 1kg weight be placed to balance the scale?
