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Education & Technologies

A Step-by-Step Guide to Calculating Moodle™ Grades

Introduction of grades:


Grades are scores given to students(or other Roles) in a Moodle™ course. The Grades link (or gradebook) in the Course administration menu shows the scores given by each activity.

Methodological of grades:

Teachers or non-editing teachers will enter grades for students in Moodle™. Grades can be entered in multiple locations, depending on what is being graded and where it is most suitable to enter them. Each area has its advantages. Entering grades from the Assignment has the benefit of sending a notification to the student when the grade is submitted, which does not occur when the grade is edited from the grader report or single view screen.

Normalization

Normalization is the process in which the grade assigned to an individual assessment is converted into a percentage, subsequently utilized as a decimal in calculations.

Ex: Grade awarded / Max grade = 20 / 25 = 0.8

Quiz1 Quiz2 Assignment1 Lesson Assignment2 Usual total Sum of grade Mean aggregation Final grade shown in grade book
Max grade possible 25 25 40 20 50 160 32
Grade awarded 20 25 38 15 35 133 26.6
Normalized grade (20/25) = 0.8 (25/25) = 1 (38/40) = 0.95 (15/20) = 0.75 (35/50) = 0.7 (0.8 + 1 + 0.95 + 0.75 + 0.7) = 4.2 (4.2/5) = 0.84 (0.84*100) = 84

List of aggregation types:


Aggregation Types:

1. Natural

This represents the total of all grade values, proportionally adjusted based on their respective weights. The maximum grade for the category is the sum of the maximum values of all aggregated items.

Ex:
A1 70/100, A2 20/80, A3 10/10, without forcing weights:
A: (70 + 20 + 10)/(100 + 80 + 10) => 100/190

Assignment1 Assignment2 Assignment3 Usual total Sum of grade Final grade shown in grade book
Max grade possible 100 80 10 190
Grade awarded 70 20 10 130
Normalized grade (70/100) (20/80) (10/10) (70 + 20 + 10) / (100 + 80 + 10) = 100/190 0.52

2. Mean Aggregation

Mean aggregation is a calculation that involves adding marks from all activities and dividing the total sum by the number of activities included in the calculation.


    To calculate the final grade:
    Mean aggregation value 0.84 multiplied by Max grade value 100.
    Ex: (0.84 * 100) = 84

Assignment A1 A2 A3 A4 A5 Usual total Mean aggregation Final grade shown in grade book
Max grade possible 25 25 40 20 50 160 32
Grade awarded 20 25 38 15 35 133 26.6
Normalized grade (20/25) = 0.8 (25/25) = 1 (38/40) = 0.95 (15/20) = 0.75 (35/50) = 0.7 (0.8 + 1 + 0.95 + 0.75 + 0.7) = 4.2 (4.2/5) = 0.84 (0.84*100) = 84

3. Simple weighted mean of grades

In this version of the weighted mean type, the maximum grades of each assessed item are used as the weights, eliminating the need for the teacher to apply separate weights to each graded activity.

Ex:
Normalization:
Assignment 1:
Grade is 90 and max grade is 100
Grade / Max grade ( 90 / 100 = 0.9 )

Assignment 2:
Grade is 40 and max grade is 50
Grade / Max grade ( 40 / 50 = 0.8 )

Calculation of Weight:
Normalized grade * max grade
Assignment 1: ( 0.9 * 100 = 90)
Assignment 2: (0.8 * 50 = 40)

Aggregation:
Sum of Weighted grade / Sum of graded items max grade = ( 90 + 40 / 100 + 50 ) = 0.86

Category max grade:
0.86 * 100 = 86

Assignment1 Assignment2 Aggregation
Max grade possible 100 50 150
Grade awarded 90 40 130
Normalized grade (90/100) = 0.9 (40/50) = 0.8 (130/150) = 0.86

4. Weighted mean of grades

Weight is assigned to each graded item. The grade is then normalized, multiplied by the weights assigned in each assessment as specified by the teacher, and finally, the calculated weighted values are summed before being divided by the total sum of weights provided by the teacher to determine the item grade.

Normalization grades:
Assignment 1:
Grade awarded / Max grade possible = 90 / 100 = 0.9

Assignment 2:
Grade awarded / Max grade possible = 40 / 50 = 0.8

Ex:
Normalized graded
= (A1 is weighted x 2) + (A2 is weighted x 3)
= (0.9 x 2 ) + (0.8 x 3)
Calculated weights / given specific weights = (0.9 x 2 ) + (0.8 x 3) / 5
= 1.8 + 2.4 / 5 = 0.84

Assignment1 Assignment2 Aggregation
Max grade possible 100 50 150
Grade awarded 90 40 130
Normalized grade (90/100) = 0.9 (40/50) = 0.8 (130/150) = 0.86
Weights specified by teacher 2 3 2 + 3 = 5
(90/100) = 0.9 (40/50) = 0.8 (130/150) = 0.86

5. Median of grades

All normalized values are arranged in numerical order, from the lowest to the highest. The final value is determined by selecting the middle value. In cases where there is no exact middle value due to an even number of grades, Moodle™ will consider the two middle numbers and calculate their average to obtain the final value.



How Moodle™ choose the number of grades arranged in odd and even number of grades.

Odd number of grades
Ex:
Q1: 0.3, Q2: 0.4, A1: 0.4, L1: 0.5, W1: 0.7
=> 0.3, 0.4, 0.4, 0.5, 0.7
Final grade: 0.4

Quiz1 Quiz2 Assignment1 Lesson1 Workshop1 Usual total Median of grades(odd rows)
Max grade possible 50 50 50 30 20 200
Grade awarded 15 20 20 15 14 84
Normalized grade (15/50) = 0.3 (20/50) = 0.4 (20/50) = 0.4 (15/30) = 0.5 (14/20) = 0.7 (0.3 + 0.4 + 0.4 + 0.5 + 0.7) = 1.9 (4.2/5) = 0.4

Even number of grades
Ex: Q1: 0.4, Q2: 0.3, A1: 0.4, L1: 0.5, W1: 0.7, A2: 0.8
=> 0.3, 0.4, 0.4, 0.5, 0.7, 0.8 = (0.4 + 0.5) / 2
Final grade: 0.45
Quiz1 Quiz2 Assignment1 Lesson1 Workshop1 Assignment2 Usual total Median of grades(even rows)
Max grade possible 50 50 50 30 20 200
Grade awarded 15 20 20 15 14 84
Normalized grade (15/50) = 0.3 (20/50) = 0.4 (20/50) = 0.4 (15/30) = 0.5 (14/20) = 0.7 (0.3 + 0.4 + 0.4 + 0.5 + 0.7 + 0.8) = 3.1 (3.1/6) = 0.5 (0.4 + 0.5)/2 = 0.45

6. Mode of grades

After normalization, the gradebook assesses all recorded grades. The final grade is then determined by selecting the grade that appears most frequently in the grade list.

Quick Ex: 0.2, 1.0, and 1.0
Final grade = 1.0

Quiz1 Quiz2 Assignment Usual total Mode of grades
Max grade possible 100 100 50 250
Grade awarded 60 70 30 160
Normalized grade (60/100) = 0.6 (70/100) = 0.7 (30/50) = 0.6 (0.6 + 0.7 + 0.6 / 30) = 1.9 (0.6 * 100) = 60
The same values were taken after grade normalization.
Ex: A1: 60 / 100 = 0.6, A2: 70 / 100 = 0.7, A3: 30 / 50 = 0.6
Most repeated grade: 0.6 -> 0.6 * 100 = 60

What are the lowest and highest grades:
Lowest Grade:
Reviews all the grades, after normalization, and presents the lowest score as final grade.
Ex: 1.0, 0.5, 0.5, 0.4
Grade: 0.4 * 100 = 40

Highest Grade:
Reviews all the grades, after normalization, and presents the highest score as final grade.
Ex: 1.0, 0.5, 0.5, 0.4
Grade: 1.0 * 100 = 100

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