Weighted Averages Worksheet
Practice calculating weighted averages with real-world examples and problems.
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Weighted Averages Worksheet
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Read each question carefully and calculate the weighted average. Show your work where applicable. Round your answers to two decimal places if necessary.
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 exams (50%). If a student scored 85% on homework, 70% on quizzes, and 90% on exams, their weighted average grade is .
3. A company sells three types of coffee beans: Arabica (50% of sales) at $12/lb, Robusta (30% of sales) at $8/lb, and Liberica (20% of sales) at $15/lb. The weighted average price per pound for their coffee beans is .
4. Which of the following scenarios would most likely require the calculation of a weighted average?
Finding the average height of students in a class.
Calculating the average temperature over a week.
Determining the average cost of a stock portfolio where different stocks have different numbers of shares.
Finding the average number of pets owned by families in a neighborhood.
5. In a weighted average, what does a higher weight assigned to a data point indicate?
It has less importance in the overall average.
It has more importance in the overall average.
It is an outlier and should be ignored.
It is irrelevant to the calculation.
6. A teacher calculates grades using the following weights: Class Participation (10%), Homework (25%), Projects (35%), and Final Exam (30%). If a student scored 95% in Class Participation, 80% on Homework, 88% on Projects, and 75% on the Final Exam, what is their overall weighted average grade?
7. A small business owner wants to calculate the average hourly wage of their employees. They have 3 full-time employees earning $20/hour, 2 part-time employees earning $15/hour, and 1 intern earning $10/hour. What is the weighted average hourly wage for the employees?
8. In a weighted average, all data points contribute equally to the final average.
True
False
9. A weighted average is always greater than a simple average.
True
False