AMDM - Weighted Averages - Calculate Grades Practice

AMDM Unit 2 -
Weighted Averages

In this next unit, you will learn all about weighted averages and its applications.
Look forward to the following Lab Lessons in the next weeks:
Calculate your Grade
Sports Averages
Check Digits

Fill in the Blank

What is another word for average? Hint: Start with the letter "M"

Review! To find the mean(average):

Multiple Choice

Hector earns money by delivering groceries. He earned
$4 on Monday, $7 on Tuesday, $5 on Wednesday, $4 on
Thursday, and $5 on Friday. What is the average amount
of money Hector earned per day?

• 25
• 5
• 21

Multiple Choice

Kyle plays on May's basketball team. He has played three
games so far. In the first game, he scored 10 points. In
the second game, he scored 14 points. In the third game,
he scored 6 points. What is Kyle's average points per
game?

• 30
• 12
• 3
• 10

Multiple Choice

On the semester AMDM final,

Christian scored 85, Vicktoria scored 89, and Mariela scored a 99.

What was the average score for these students? _________

• 91
• 273

Multiple Choice

Kendarian read six books in January, four books in February, and eight books in March. What was the average number of books he read each month? __________

• 18
• 6
• 14

Multiple Choice

What is the average number of students in each class if there are 250 students in 10 classes?

• 240
• 25

What Are Weighted Averages?

Fill in the blanks on your notes.

·  A weighted average is an average where different __IMPORTANCE(WEIGHT)_ is placed on different parts of the data set.   ·   To find the weighted average you _MULTIPLY_ the category average by the weight given to the category.   ·  For _PERCENTAGES(GRADES)_, you add your weighted averages.   ·  For other types, you add your weighted values and _DIVIDE BY THE NUMBER OF VALUES_.

Weighted Averages for Grades- Steps

Step 1: Convert to decimal for all percentages weights
Step 2: Find average for each grading categories.
Step 3: Multiply each decimal to its average
Step 4: Sum all up from the results.

Note: Here are the formulas for calculating weighted averages. You use weighted averages for calculating grades and GPA!

Find a Weighted Average - Example

• A lifeguard was collecting data on the average age of swimmers at Adams Park Pool on June 10th.

• Of the total swimmers 60% of the swimmers were girls, 40% were boys.

• If the average age of the girls was 14 and the average age of the boys was 12, what is the average age of all swimmers on June 10th?

Find a Weighted Average - Example Solution

• Girls: 60% avg age of 14

• Boys: 40% avg age of 12

• To find the weighted average

  • (.60x14) + (.40x12)

  • (8.4) + (4.8) = 13.2 avg age of swimmers

Multiple Choice

Why would you use a weighted average instead of a traditional average calculation?

• Because you have a lot of numbers
• Because the value you are trying to calculate is made up of categories which each have different weights.

Multiple Choice

How to calculate A FINAL AVERAGE for your course grade?

What is Step 1?

• Sum all up from the results

• Multiply each decimal to its average

• Find average for each grading categories.

• Convert to decimal for all percentages weights

Multiple Choice

According to Step 1:

Convert to decimal for all wage percentages

Choose your best answer for the following:

• HW = (100 + 80 + 90)/3 x 100

• HW = 25% = 0.25

• Final = 68 x 25%

• Final = 68 x 100

Fill in the Blank

According to Step 1:

Convert to decimal for all weight percentages

Calculate the Classwork average decimal weight?

Multiple Choice

How to calculate A FINAL AVERAGE for your course grade?

What is Step 2?

• Sum all up from the results

• Multiply each decimal to its average

• Find average for each grading categories.

• Convert to decimal for all wage percentages

Multiple Choice

According to Step 2:

Find average for each grading categories.

Choose your best answer for the following:

• HW = (100 + 80 + 90)/3

• HW = 25% = 0.25

• Final = 68 x 0.25

• Final = 68 x 100

Multiple Choice

How to calculate A FINAL AVERAGE for your course grade?

What is Step 3

• Sum all up from the results

• Multiply each decimal to its average

• Find average for each grading categories.

• Convert to decimal for all wage percentages

Multiple Choice

According to Step 3:

Multiply each decimal to its average.

Choose your best answer for the following:

• HW = (100 + 80 + 90)/3

• HW = 25% = 0.25

• Final = 68 x 0.25

• Final = 68 x 100

Fill in the Blank

Your Test scale = 40% and Test average = 70. Determine the weight average (Step 3)

Multiple Choice

How to calculate A FINAL AVERAGE for your course grade?

What is the Step 4

• Sum all up from the results

• Multiply each decimal to its average

• Find average for each grading categories.

• Convert to decimal for all wage percentages

Fill in the Blank

Assume we have all the weighted Average for CW = 31, HW = 11.5, Project = 9, Quizzes = 8.5, Tests = 17., and the Final = 5.

Determine the final weighted average (FWA) = ?

Hint* - Use Step 4

Multiple Choice

Find the class grade for a student with grades: Test 89%, Quiz 92, Homework 86%, and Classwork 95%.
Tests are 60% of the grade, Quiz 15%, Homework is 10% of the grade, and Classwork is 15% of the grade.

• 89.25
• 91.55
• 90.05
• i don't know

Multiple Choice

A student's grade in a Psychology course is comprised of tests (40%), quizzes (20%), papers (20%), and a final project (20%). His scores for each of the categories are 85 (tests), 100 (quizzes), 92 (papers) and 84 (final project). Calculate his overall grade.

• 90.25
• 88.2
• 89.2
• 86.7

Poll

What's the best high school in APS?

• Washington High

• Mays High

• North Atlanta High

• South Atlanta