Enter the values and their corresponding weights below, separated by commas. The calculator will compute the weighted mean based on the inputs.
Result:
How It Works
This calculator allows you to compute the weighted mean of a set of values, where each value is assigned a weight. You need to input the numbers for which you want to calculate the average and provide the weights for each number. After clicking the "Calculate Weighted Mean" button, the calculator computes the result by taking into account the weights and values.
Formula for Weighted Mean
The formula for calculating the weighted mean is:
Weighted Mean = (Σ (value × weight)) / Σ weights
Where:
- value: The individual data point.
- weight: The weight assigned to that data point.
- Σ: Sum of all values and weights.
For example, to calculate the weighted mean of the values 10, 20, 30 with corresponding weights 1, 2, 3:
Weighted Mean = (10×1 + 20×2 + 30×3) / (1+2+3)
= (10 + 40 + 90) / 6
= 140 / 6
= 23.33
Frequently Asked Questions (FAQ)
What is a weighted mean?
A weighted mean (or weighted average) is a type of average where different values contribute differently based on their assigned weights. It is particularly useful when certain values in a dataset have more significance than others.
When should I use a weighted mean calculator?
You should use a weighted mean calculator when you need to average a set of numbers, but not all numbers have the same importance. This is often the case in calculating grades, financial averages, or any situation where values are weighted differently.
What’s the difference between weighted mean and simple average?
A simple average (or arithmetic mean) gives equal importance to all values, while a weighted mean assigns different importance to different values. For example, in calculating grades, exams may be given more weight than homework assignments.
Can I use this calculator for grades?
Yes, you can use this calculator to compute weighted grades. Just enter the grades as values and the corresponding weight for each grade (such as the percentage contribution of each exam or assignment).
What happens if I don’t input equal numbers of values and weights?
If the number of values and weights is not the same, the calculator will show an error. Make sure to input the same number of values and their corresponding weights.
How should I input values and weights in the calculator?
Simply enter your values and weights separated by commas. For example, if your values are 10, 20, 30 and their corresponding weights are 1, 2, 3, you would input the values as 10, 20, 30 and the weights as 1, 2, 3.