Weighted Averages Worksheet

Weighted Averages Practice

Read each question carefully and calculate the weighted average. Show all your work.

1. A student's final grade is based on three components: Homework (20%), Quizzes (30%), and Exams (50%). If a student scored 90 on Homework, 80 on Quizzes, and 75 on Exams, what is their weighted average final grade?

2. In a weighted average, each data point is multiplied by a corresponding  , which reflects its relative importance.

3. The sum of all weights in a weighted average calculation should ideally be equal to   or 100%.

4. A company produces three types of products. 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 of a product?

5. A simple average is a special case of a weighted average where all weights are equal.

6. A college calculates GPA based on credit hours. If a student earns an A (4.0) in a 3-credit course, a B (3.0) in a 4-credit course, and a C (2.0) in a 2-credit course, what is their weighted GPA for the semester?

7. Consider two groups of students. Group A has 20 students with an average score of 85. Group B has 30 students with an average score of 70. Illustrate the concept of the overall weighted average score for both groups combined using a simple diagram.