﻿ How weighting is calculated

How weighting is calculated

Three weighting values are provided in Grade Book Reports:

The method by which each value is calculated is described below.

Weighted total score

The Weighted total score is calculated according to the following formula:

si * wi / 100

The Weighted total score is the sum of this formula for all assessments. This is explained in the table below.

Element Description
si The participant score in points for the assessment (0 if the assessment is unanswered)
wi The weighting for the assessment. This is a number from 0 to 100, with 10 as the default

Weighted maximum score

The Weighted maximum score for an assessment is calculated according to the following formula:

mi * wi / 100

The Weighted maximum score is the sum of this formula for all assessments. This is explained in the table below.

Element Description
mi The maximum score in points for the assessment (0 if the assessment is unanswered)
wi The weighting for the assessment. This is a number from 0 to 100, with 10 as the default

Weighted percentage score

The Weighted percentage score is calculated as the Weighted total score divided by the Weighted maximum score, shown as a percentage value.

Example

For an example about how weighting can be used:

Suppose you have two assessments with the following weighting:

• Assessment A has a weighting of 10
• Assessment B has a weighting of 20 (i.e. is twice as important as Assessment A)

If a participant scores:

• 14 out of 20 (70%) on Assessment A
• 5 out of 10 (50%) on Assessment B

Then the weighting is as follows:

• Weighted total score for a participant = 2.4
• The Weighted total score for the example given above is calculated as follows:

 Score in points for assessment Weighting for assessment Assessment A 14 * 10 / 100 = 1.4 Assessment B 5 * 20 / 100 = 1 Weighted total score = 2.4
• Weighted maximum score = 4
• The Weighted maximum score for the example given above is calculated as follows:

 Maximum score in points for assessment Weighting for assessment Assessment A 20 * 10 / 100 = 2 Assessment B 10 * 20 / 100 = 2 Weighted maximum score = 4
• Weighted percentage score = 60%

The Weighted percentage score for the example given above is calculated as follows:

 Weighted total score Weighted maximum score 2.4 / 4.0 =0.6 (60%)