Gradebook Setup Guide
Category Weights and Calculating Total Grades
Weighted Mean Calculations
Understanding Category Weights and Grade Calculations
Grade Categories are calculated using a Weighted Mean of Grades.
- Each Grade Category has its own total Weight.
- Each Grade Item within that total Weight contributes a share of that total Weight.
- The calculation takes the sum total of all given Grade Item Weights and divides it by the sum total of all Grade Item Weights.
\( \frac{sum of all weighted scores}{sum of all weights} \)
Grade Item Weights as a Sum Total
Here, the individual Grade Item Weights add up exactly to 40.0 - which is the Category Weight. If a student scores 100 on all assignments, they would receive 100% of 40.
Sum of all weighted scores = 40
Sum of all weights = 40
\( \frac{40}{40} = 100% \)
e.g. A student scores 8/10, 9/10, and 86/100. This results in weighted scores of 6.4/8, 7.2/8, and 20.64/24. \( \frac{6.4+7.2+20.64}{8+8+24} = \frac{34.24}{40} = 85.6% \) AND \( 0.856 \times 40 = 34.24 \)
Grade Item Weights as a Percentage
Here, the individual Grade Item Weights add up exactly to 100 - which is 100% of the Category Weight. If a student scores 100 on all assignments, they would receive 100% of 40.
Sum of all weighted scores = 100
Sum of all weights = 100
\( \frac{100}{100} = 100% \)
e.g. A student scores 8/10, 9/10, and 86/100. This results in weighted scores of16/20, 18/20, and 51.6/60. \( \frac{16+18+51.6}{20+20+60} = \frac{85.6}{100} = 85.6% \) AND \( 0.856 \times 40 = 34.24 \)
Grade Item Weights as a Ratio
Here, the individual Grade Item Weights are calculated as a ratio share of the total weight - adding up to a total of 5. This translates to a percentage share of the Category Weight. If a student scores 100 on all assignments, they would receive 100% of 40.
Sum of all weighted scores = 5
Sum of all weights = 5
\( \frac{5}{5} = 100% \)
e.g. A student scores 8/10, 9/10, and 86/100. This results in weighted scores of 0.8/1, 0.9/1, and 2.58/3. \( \frac{0.8+0.9+2.58}{1+1+3} = \frac{4.28}{5} = 85.6% \) AND \( 0.856 \times 40 = 34.24\)