Weighted Averages Worksheet - Grade 9
This worksheet helps Grade 9 students understand and calculate weighted averages through various practical problems.
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Weighted Averages
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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 weights: Homework (20%), Quizzes (30%), Midterm Exam (25%), and Final Exam (25%). If a student scored 85 on Homework, 70 on Quizzes, 60 on the Midterm Exam, and 75 on the Final Exam, what is their final weighted average grade?
2. In a weighted average, each data point is multiplied by its corresponding , and the results are then summed and divided by the sum of the .
3. If all data points have the same weight, the weighted average is the same as the average.
4. A company produces three types of products. Product A sells for $10 and has a production volume of 2000 units. Product B sells for $15 and has a production volume of 1500 units. Product C sells for $20 and has a production volume of 1000 units. What is the weighted average selling price per unit?
$14.00
$14.44
$15.00
$13.50
5. A portfolio consists of three stocks: Stock X, Stock Y, and Stock Z. Stock X has a value of $5,000 and has increased by 10%. Stock Y has a value of $8,000 and has increased by 5%. Stock Z has a value of $2,000 and has decreased by 2%. What is the overall weighted average percentage change of the portfolio?
6. A weighted average gives more importance to certain data points over others.
True
False