Embed Size (px)
Citation preview
Understanding Weighted Averages
25% Dur-ing
45%Practice
30%Summa-tive
Kathryn H. Zuehlke, Ph.D.
Chamblee High SchoolChamblee, GA
Calculating Weighted Averages
Weighted averages assign more importance to some values than others.
Average (Arithmetic Mean)
Component GradeLabs/Quizzes (33.3%) 82HWK/ClassWk/SF (33.3%) 88Tests/Final (33.4%) 67Average 79
Grade Weights
Labs/Quizzes HWK/ClassWk/SF Tests
Weighted Average
Component GradeLabs/Quizzes(25%) 82HWK/ClassWk/SF(45%) 88Tests/Final(30%) 67Average 80
(0.25)82 + (0.45)88 + (0.30)67=80Grade Weights
Labs/Quizzes HWK/ClassWk/SF Tests
(0.333)82 + (0.333)88 + (0.334)67=79
Calculating Weighted Averages
25% During
45%Practice
30%Summa-
tive
We Have
25%Dur-ing
45%Practice
15%Exam
15% Tests
We Want
The Weight (wt) of Each Category is Fixed
25% Dur-ing
45%Practice
30%Summative
Examples:
8.5 pts earned/10 pts possible x100%=85%
425 pts earned/500 pts possible x 100%=85%
11,460 pts earned/13,482 pts possible x 100%=85%
(wt 1)(avg 1)+(wt 2)(avg 2)+(wt 3)(avg 3) = wt avg
points earned in category avg for categorypoints possible in category
X 100% =
Increasing the number of points in a category has no effect on the weight of the category. The average for the category affects the weighted overall grade.
Example: Weighting your final exam
(3 tests)(50 pts/test)= 150 pts
pts on final = total test points
(pts on final)(multiplier[X])=total test points
Some Options:
(150 pt final)X=150 test pts, X = 1
(100 pt final)X=150 test pts, X = 1.5
(200 pt final)X=150 test pts, X = 0.75
150 pts
150 pts
150 pts
Example: Weighting within a category
150 pts
3x50 pts
150 pts
Want 3 tests at 50 pts each
(pts on test)(multiplier[X])=weighted pts of test
1) (42 pts)X= 50 test pts, X = 1.19
2) (54 pts)X= 50 test pts, X = 0.93
3) (38 pts)X= 50 test pts, X = 1.32
Decide where assignments will go before entering grades – put in syllabus
25% Dur-ing
Labs/Quizzes
45% Prac-tice
HWK, CLASSWK,
SF
30% Summa-
tiveTests/Final
What If I Only Use 1 or 2 Categories?Percents always total 100 %
25% During
45% Practice
30% Summative
No summative assessment.25% + 45% = 70%
25%= 36%
During 0.70
45%= 64%
Practice 0.70
Desired
Only During Learning25%
25%
0.25= 100% During
Sequence and Multiplier in I.C.
Sequence (Seq) groups similar assignments together (LAB=1, QUIZ=2, …EXAM=7)
Using the Multiplier in I.C.
I had (100 pt final)X=155 test pts, X = 1.55
Select “Multiplier” when printing progress reports
