Math and Algebra
Weighted Mean Calculator
Weighted Mean Calculator calculate a weighted arithmetic mean from paired values and nonnegative weights.
Math and Algebra
Weighted Mean Calculator
Calculate a weighted arithmetic mean from paired values and nonnegative weights.
Formula
Weighted mean = sum(value_i * weight_i) / sum(weight_i).
About the Weighted Mean Calculator
Calculate a weighted arithmetic mean from paired values and nonnegative weights.
How the Weighted Mean Calculator Works
Values and weights are parsed in matching order, each product is summed, and the weighted total is divided by the total weight.
Formula
Weighted mean = sum(value_i * weight_i) / sum(weight_i).
The calculation runs in your browser. Values are validated for required ranges, compatible units, and method-specific restrictions before results are displayed.
Required Inputs
- Values (required).
- Weights (required).
Results Reported
The result panel reports the final answer and the intermediate quantities needed to check the calculation:
- Paired values
- Total weight
- Weighted sum
- Weighted mean
Weighted Mean Calculator Example
Select Example Data in the calculator to load this reproducible input set:
| Input | Example value |
|---|---|
| Values | 10, 20, 30 |
| Weights | 1, 2, 3 |
How to Use the Calculator
- Confirm that the calculator title and formula match the quantity you need.
- Enter every required value using the unit shown with its field.
- Select Example Data to inspect a valid input set, or enter your own values and select Calculate.
- Review all reported values and the displayed formula before using the answer.
- Use Copy Result or Download CSV when you need a reusable record.
Accuracy and Limitations
The two lists must have equal lengths, weights cannot be negative, and at least one weight must be positive.
Keep units consistent, use measurements that represent the actual situation, retain full precision during the calculation, and round only the final answer. Professional decisions may require current official rules, field measurements, laboratory methods, or specialist review.
Frequently Asked Questions
What does the Weighted Mean Calculator calculate?
Calculate a weighted arithmetic mean from paired values and nonnegative weights.
Which formula does the Weighted Mean Calculator use?
Weighted mean = sum(value_i * weight_i) / sum(weight_i).
What should I verify before using this result?
The two lists must have equal lengths, weights cannot be negative, and at least one weight must be positive.