Grade Calculator

Calculate your final course grade effortlessly. Dynamically add assignments, quizzes, and exams—no need to pre-calculate totals! Perfect for both students and teachers.

Assignments

Quizzes

Exams

How It Works:
For each category, the calculator computes the category average as:
\( \text{Category Average} = \frac{\sum (\text{score} \times \text{item weight})}{\sum (\text{item weight})} \)
Then, the final grade is given by:
\( \text{Final Grade} = \frac{\sum (\text{Category Average} \times \text{Category Weight})}{\sum (\text{Category Weight})} \)

Designed for teachers and students to easily manage and calculate academic performance.

Weighted Grade Calculation

Weighted Grade Calculation

Weighted grades are used to calculate a single overall grade when different assignments or courses have different levels of importance. In other words, some assessments contribute more to the overall grade than others. Understanding how to calculate a weighted grade is crucial for accurately determining performance across various graded components.

General Formula

The weighted grade (or weighted average) is generally calculated by multiplying each grade by its corresponding weight and summing the results. If the weights are expressed as percentages that add up to 100%, the formula looks like this:

Weighted grade = (w1 × g1) + (w2 × g2) + (w3 × g3) + …

Here:

  • w1, w2, w3, … are the weights in decimal form. For instance, 30% becomes 0.30.
  • g1, g2, g3, … are the grades obtained for each item.

Note: If the weights are provided in percentages, ensure you convert them to decimal form before multiplying. For example, 30% becomes 0.30, 50% becomes 0.50, etc.

Example (Percent Weights)

Suppose you have three courses:

  • Math course with a grade of 80 and weight of 30%.
  • Biology course with a grade of 90 and weight of 50%.
  • History course with a grade of 72 and weight of 20%.

The weighted grade calculation is as follows:

Weighted grade = (0.30 × 80) + (0.50 × 90) + (0.20 × 72)

Converting percentages to decimals: 30% = 0.30, 50% = 0.50, and 20% = 0.20. So we get:

= (0.30 × 80) + (0.50 × 90) + (0.20 × 72)
= 24 + 45 + 14.4
= 83.4

Therefore, the weighted average grade is 83.4.

When Weights Are Not Percentages (e.g., Hours or Points)

In cases where you have weights that do not sum up to 100%, for example, when you are given credit hours or point values for each course or assignment, you should divide by the sum of all the weights. The formula in this scenario is:

Weighted grade =
(w1 × g1) + (w2 × g2) + (w3 × g3) + …
———————————————————————————————————————————————
w1 + w2 + w3 + …

Here:

  • w1, w2, w3, … can be the number of points or credit hours.
  • g1, g2, g3, … are the grades.

Example (Credit Hours or Points)

Suppose you have three courses:

  • Math course: grade of 80, worth 3 points.
  • Biology course: grade of 90, worth 5 points.
  • History course: grade of 72, worth 2 points.

The weighted average grade is calculated by:

Weighted grade =
(3 × 80) + (5 × 90) + (2 × 72)
——————————————————
3 + 5 + 2

Evaluating the numerators and denominators separately:

  • Numerator = (3 × 80) + (5 × 90) + (2 × 72) = 240 + 450 + 144 = 834
  • Denominator = 3 + 5 + 2 = 10

Therefore:

Weighted grade = 834 / 10 = 83.4

So, the weighted average grade is 83.4.

Key Takeaways:
  • When weights are percentages (adding up to 100%), multiply and sum directly.
  • When weights are raw values (points, hours, etc.), sum the products and then divide by the sum of the weights.
  • Always convert percentage weights into decimals before multiplying.

Weighted grade calculations are a handy tool to fairly reflect the importance or difficulty of various components in an overall evaluation. Whether you have percentage-based weights or point-based weights, the key is to remember to either convert percentages to decimals or to divide by the total number of points or hours when they are not percentages.