Calculate a simplified scaled course score from grade, class mean and standard deviation, or a credit-weighted score average. Neither mode applies official Québec CRC rules.
Simplified R Score Formula (Shifted Z-Score)
The following formula is used in this calculator to compute a simplified “R Score” from a Z-score:
Where:
- R is the R Score
- Z is the Z-Score, calculated as (Average Grade − Class Average) / Standard Deviation
To calculate this R Score, first determine the Z-Score using the student’s average grade, the class average, and the standard deviation. Then add 5 to the Z-Score and multiply by 5, so that a Z-score of 0 corresponds to a simplified scaled score of 25.
Important: This simplified R Score is not the official Quebec/CEGEP cote R, which uses additional factors (such as group strength and other adjustments) and therefore cannot be computed from only these three class statistics.
What is an R Score?
On this page, “R Score” refers to a simple standardized score based on a Z-score, shifted by 5 and scaled by 5 (R = 5 × (Z + 5)). It indicates how far a student’s grade is above or below the class average in units of the class standard deviation. This can help compare performance within the same class or between classes only when grading scales and distributions are meaningfully comparable.
How to Calculate an R Score?
The following steps outline how to calculate the simplified R Score shown in this calculator:
- First, determine the student’s average grade.
- Next, determine the class average grade.
- Then, determine the standard deviation of the class grades.
- Calculate the Z-Score using the formula: Z = (Average Grade − Class Average) / Standard Deviation.
- Add 5 to the Z-Score and multiply by 5: R = 5 × (Z + 5).
- Use the calculator above to verify your calculations. For the weighted average, enter one score, credits pair per line; all credits must be positive. Official CRC eligibility and failure-weighting rules are not applied.
Example Problem:
Use the following variables as an example problem to test your knowledge:
Average Grade = 85%
Class Average = 75%
Standard Deviation = 10 (percentage points)
Z = (85 − 75) / 10 = 1
R = 5 × (Z + 5) = 5 × (1 + 5) = 30
