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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 + ... + gradeN × weightN) / (weight1 + weight2 + ... + weightN). Where grade1, grade2 to gradeN are individual grades, weight1, weight2 to weightN are corresponding weights, and N is the number of grades and weights. Using this formula, you can calculate the weighted average that takes into account the weights of individual grades.
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.
Arithmetic average = (grade1 + grade2 + ... + gradeN) / N. Where grade1, grade2 to gradeN are individual grades, and N is the number of grades. Using this formula, you can calculate the arithmetic average, which is a simple measure of central tendency.
Frequently asked questions about grade averages
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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.