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

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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:

  1. 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

  1. 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.
  2. Ex: Grade awarded / Max grade = 20 / 25 = 0.8

  3. 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

  • Scroll down to find the Time Settings section and enable the configuration.
  • Once enabled, you can configure the time limit for assignments to control the duration available for student submissions.

  • 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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