Weighted Averages Worksheet - Grade 9
This worksheet helps Grade 9 students understand and calculate weighted averages through various practical problems.
Includes
Standards
Topics
Weighted Averages
Name:
Date:
Score:
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
Related Worksheets
Normal Distribution Basics
Explore the fundamental concepts of normal distribution, including its characteristics, parameters, and applications.
Bivariate Data Analysis Worksheet
This worksheet focuses on understanding and analyzing bivariate data, including scatter plots, correlation, and lines of best fit.
Permutation and Combination Worksheet
Grade 9 math worksheet covering fundamental concepts of permutations and combinations with various problem types.
Independent and Dependent Events
Explore the concepts of independent and dependent events in probability with this worksheet designed for Grade 9 students.
Non-Disjoint Events Probability Worksheet
Explore the concept of non-disjoint events and calculate probabilities using the Addition Rule for Grade 9 students.
Grade 9 Math: Understanding Variance
This worksheet focuses on understanding and calculating variance for grade 9 students, covering definitions, formulas, and practical applications.
Understanding Quartiles Worksheet
This worksheet helps grade 9 students understand and calculate quartiles (Q1, Q2, Q3) and the interquartile range (IQR) for various data sets.
Five Number Summary Worksheet
A Grade 9 math worksheet covering the five-number summary: minimum, first quartile, median, third quartile, and maximum.