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The following table demonstrates how a weighted grade is calculated. The percentage in each category is multiplied by its respective weight. The sum of these contributions is the total grade percentage.

Category Name | Percentage in Category | Weight of Category | Contribution | |

Homework | 93% | × | .30 | 0.279 |

Quiz/Test | 88% | × | .50 | 0.440 |

Exam | 91% | × | .20 | 0.182 |

.901 | ||||

Total | 90.1% |

The question that often arises is "What must I get on the final exam to bring my grade to a certain level?" Let us represent the above table as an algebraic expression using *h*, *q*, and *e* to represent the categories: homework, quiz/test, and exam respectively. This is done as follows: *h***the weight of h* + *q***the weight of q* + *e***the weight of e* = *final grade*. To solve for the grade on the exam, enter in the available information with *x* representing the grade on the final exam and the desired grade for the class. The following is an example.

Category Name | Percentage in Category | Weight of Category | Contribution | |

Homework | 95% | × | .30 | 0.285 |

Quiz/Test | 86% | × | .50 | 0.43 |

Exam | ? | × | .20 | ? |

Total | 90% |

Mathematically this problem can then be solved as follows.

h*(the weight of h) + q*(the weight of q) + e*(the weight of e) = final grade

(.95)*(.30) + (.86)*(.50) + *x**(.20) = .90

.285 + .43 + .2*x* = .90

.715 + .2*x* = .90

.2*x* = .90 - .715

.2*x* = .185

*x* = .185/.2

*x* = .925

92.5%

This grade calculator can help to calculate your grade or the grade you need to get on a test or final.

Last updated: 5/11/11 Submit comments here