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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:
1. Natural
2. Mean Aggregation
3. Simple weighted mean of grades
4. Weighted mean grades
5. Median of grades
6. Mode of grades
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 1.0Final 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 |
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