WEIGHTED AVERAGES PROJECT
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General Ideas:
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You will complete a project that incorporates weighted averages.
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The project begins Thursday, October 23rd and is due Wednesday, October 29th.
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No projects will be accepted after Wednesday, October 29th.
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We will be in the Computer lab Friday the 24th, Monday the 27th, and Tuesday 28th.
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There are 4 parts to the project. You may want to spend some time outside of class to complete
the project.
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ALL explanations should be typed and in complete sentences.
PART 1:
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Below are two grading systems for an AQR class.
System A
Class Participation: 10%
Homework: 20%
Quiz Average: 30%
Unit Test: 15%
Unit Project: 25%
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System B
Class Participation: 15%
Homework: 15%
Quiz Average: 25%
Unit Test: 25%
Unit Project: 20%
Your grades for Unit 1 are as follows.
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Participation: 100, 100, 90, 90, 85, 75
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Homework: 100, 100, 80, 84, 95, 95, 98, 55, 53, 60, 89, 75, 80, 84, 100, 65, 79, 85, 88, 99
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Quizzes: 90, 60, 100, 42
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Unit Test: 85
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Unit Project: 95
1. Create a table for your grades
2. Calculate the Mean, Median, Mode, and Midrange for your participation, homework, and quiz
grades
3. Calculate the overall average using each system
4. Which teacher’s grading system do you prefer? Explain why in complete sentences.
5. Calculate your overall average if each category had the same weight.
6. Is this average higher or lower than the weighted averages in each system? Explain why it is
higher or lower.
7. Which grade do you feel is a more accurate representation of your grade? Explain why you
think that.
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PART 2:
1. Determine how the overall average is affected when you change the average for each
category by one point. (Express your answer as a ratio 1:__)
a. Quiz Average: Overall Average
b. Homework Average: Overall Average
c. Participation Average: Overall Average
d. Unit Test: Overall Average
e. Unit Project: Overall Average
2. Determine how many points are needed in each category to increase the overall average by
one point. (Express your answer as a ratio __:1)
a. Quiz Average: Overall Average
b. Homework Average: Overall Average
c. Participation Average: Overall Average
d. Unit Test: Overall Average
e. Unit Project: Overall Average
3. Using your ratios, answer the following questions:
a. If your quiz average were 20 points higher, how much would your unit average improve in
each system? Which grading system would yield the better grade?
b. How would scoring a 100 on your unit test affect your overall average in each system?
Which grading system would yield the better grade?
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PART 3:
1. Keeping the other grades the same as in part 1 what quiz average would yield the same overall
grade in both systems? Is it possible to achieve that grade? What is the common overall
grade?
a. Write an equation and solve.
2. Keeping the other grades the same as in part 1 what unit test grade would yield the same
overall grade in both systems? Is it possible to achieve that grade? What is the common
overall grade?
a. Write an equation and solve.
3. Keeping the other grades the same as in part 1 what project grade would yield the same
overall grade in both systems? Is it possible to achieve that grade? What is the common
overall grade?
a. Write an equation and solve.
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PART 4:
1. Suppose your grades so far are class participation 80; homework 85; quiz grades 70, 78, and
83. Under each system, what grades would you need on your unit test and unit project in each
system to obtain an overall average of 90 or above for the unit?
a. Write an equation to find all the possible choices.
b. Is it possible in either system to make an overall average of 90 with the current
grades? Explain your answer.
2. Suppose your grades so far are class participation 95; homework 80; quiz grades 81, 87, and
84. Under each system, what grades would you need on your unit test and unit project in each
system to obtain an overall average of 90 or above for the unit?
a. Write an equation to find all the possible choices.
b. Is it possible in either system to make an overall average of 90 with the current
grades? Explain your answer.
c. Make a table showing ALL the possible values for the unit test and the unit project.