Grade Average Calculator
Calculate weighted or arithmetic average of grades. Enter grades and weights – get instant results!
Special characters - Polish grades can include plus (+) and minus (-) signs. The calculator automatically converts them to numeric values (e.g., 5- = 4.75, 5+ = 5.5). Decimal numbers with commas or periods are also supported.
Percentages - enter 90% as 90
Bulk import - paste a list of grades separated by spaces into the first field. Do the same for weights
Save calculations - you can now save your average calculations and return to them anytime. Just click "Save" and enter a name for your calculation
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Weighted Average
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Arithmetic Average
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How is the weighted average of grades calculated?
To calculate the weighted average of grades, you need the values of individual grades and the corresponding weights for each grade. Follow these steps to calculate the weighted average:
- 1 Make sure you have the grade values and corresponding weights available.
- 2 Multiply each grade value by its corresponding weight.
- 3 Sum all the resulting products.
- 4 Sum all the weights.
- 5 Divide the sum of products by the sum of weights.
Formula for calculating weighted average of grades.
Weighted average = (grade1 × weight1 + grade2 × weight2 + ...) / (weight1 + weight2 + ...).
For example: (5 × 3 + 4 × 2) / (3 + 2) = 4.6
How is the arithmetic average of grades calculated?
The arithmetic mean is the most commonly used measure of central tendency. It is calculated by summing all values in a data set and dividing that sum by the number of values. This is a simple and intuitive method that gives an overall picture of the data distribution. Follow these steps to calculate the arithmetic average:
- 1 Sum all grade values.
- 2 Count the number of grades.
- 3 Divide the sum of grades by their count.
Formula for calculating arithmetic average of grades.
Average = (grade1 + grade2 + grade3 + ...) / N.
For example: (5 + 4 + 3 + 6) / 4 = 4.5
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What does Wikipedia say about weighted average?
The weighted average generalizes the arithmetic mean and provides a characteristic of a statistical set when the values in that set have different importance, different weights. It is used primarily when calculating the overall arithmetic mean of a set consisting of multiple subsets. To calculate the weighted average, we need both the values whose average we want to calculate and their weights.
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