Weighted Averages Worksheet - Grade 11

Weighted Averages

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?

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.

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?