Weighted Averages Worksheet
A Grade 10 Math worksheet focusing on understanding and calculating weighted averages through various problem types.
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Weighted Averages Practice
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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?
$13.50
$14.00
$14.50
$15.00
5. A simple average is a special case of a weighted average where all weights are equal.
True
False
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.