# ARCHIVED: In Oncourse Gradebook, how do categories and weighting affect grade calculation for percentage gradebooks?

**Important:**

The way your gradebook calculates course grades depends on how you have set it up. For more about setting up the Gradebook, see ARCHIVED: Using categories and weighted grades in Gradebook. The following examples illustrate how the different choices in will affect how students' course grades are calculated.

On this page:

- Displaying grades as percentages with no categories and no weighting
- Displaying grades as percentages with simple categories and no weighting
- Displaying grades as percentages with weighted categories

## Displaying grades as percentages with no categories and no weighting

In this example, the instructor has set up the gradebook with no categories and no weighting.

Title | Grade (%) | Item value (Relative weight) |
---|---|---|

Exam 1 | 75 | 1 |

Final Exam | 92 | 2 |

Quiz 1 | 93 | 0.5 |

Final Project | 83 | 3 |

Midterm Project | 70 | 1 |

The course grade is the sum of all the grades multiplied by their respective relative weights, divided by the sum of the weights.

**Course grade:** 83.26% [(1*75+2*92+0.5*93+3*83+1*70)/7.5]

## Displaying grades as percentages with simple categories and no weighting

In this example, the instructor has set up the gradebook with simple, unweighted categories.

Category | Title | Grade (%) | Item value (Relative weight) |
---|---|---|---|

Exams | Exam 1 | 75 | 1 |

Final Exam | 92 | 2 | |

Quiz 1 | 93 | 0.5 | |

Projects | Final Project | 83 | 3 |

Midterm Project | 70 | 1 |

As in the example with no categories, the course grade is the sum of all the grades multiplied by their respective relative weights, divided by the sum of the weights.

**Course grade:** 83.26% [(1*75+2*92+0.5*93+3*83+1*70)/7.5]

With simple categories, the instructor is able to see the student's overall percentage for each category, which is calculated in the same way as the course grade. For example:

**Total (Projects):** 79.75% [(3*83+1*70)/4]

However, these category percentages do not affect the student's grade for the course.

## Displaying grades as percentages with weighted categories

In this example, the instructor has set up the gradebook with weighted categories.

### Category Exams (70% weight)

Title | Grade (%) | Item value (Relative weight) |
---|---|---|

Exam 1 | 75 | 1 |

Final Exam | 92 | 2 |

Quiz 1 | 93 | 0.5 |

**Total (Exams):** 87.28% [(1*75+2*92+0.5*93)/3.5]

The total percentage for the category is the sum of the grades multiplied by their respective relative weights, divided by the sum of the weights.

### Category Projects (30% weight)

Title | Grade (%) | Item value (Relative weight) |
---|---|---|

Final Project | 83 | 3 |

Midterm Project | 70 | 1 |

**Total (Projects):** 79.75% [(3*83+1*70)/4]

**Overall course grade (Exams and Projects):** 85.02%

Category | Weight | Contribution to grade |
---|---|---|

Exams | 70 | 61.1% (70%*87.28%) |

Projects | 30 | 23.92% (30%*79.75%) |

Total | 85.02% (61.1%+23.92%) |

In the unweighted scenarios above, the sum of the relative weights for the exams was 3.5, which is about 47% of the overall sum of the relative weights for the course, while the projects were collectively worth 4/7.5, or about 53% of the total grade. With weighted categories, the instructor has set those weights to 70% and 30%, respectively. Since this hypothetical student did better on the exams than on the projects, the course grade is higher than without the category weights.

*This is document* axws *in the Knowledge Base.*

*Last modified on* 2018-01-18 16:09:23*.*