Weighted Averages Worksheet - Grade 8 Math
This worksheet helps Grade 8 students understand and calculate weighted averages with various real-world examples.
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Weighted Averages
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Read each question carefully and calculate the weighted average. Show your work where applicable.
1. Explain in your own words what a 'weighted average' is and how it differs from a simple average.
2. A student's final grade is based on three components: homework (20%), quizzes (30%), and tests (50%). If a student scored 90% on homework, 80% on quizzes, and 70% on tests, their weighted average grade is .
3. A company sells three products. Product A sells 100 units at $10 each, Product B sells 200 units at $15 each, and Product C sells 50 units at $20 each. The weighted average price per unit sold is .
4. In a class, there are 15 boys and 10 girls. The average height of the boys is 150 cm, and the average height of the girls is 140 cm. What is the weighted average height of all students in the class?
145 cm
146 cm
147 cm
148 cm
5. A grocery store sells apples for $2.50/lb, bananas for $0.75/lb, and oranges for $1.20/lb. If a customer buys 3 lbs of apples, 5 lbs of bananas, and 2 lbs of oranges, what is the average price per pound of fruit purchased?
6. A weighted average will always be greater than the simple average of the same data points if all weights are positive.
True
False