Science & Math Statistical calculation

Weighted Average Calculator

Compute weighted average from value and weight lists.

Weighted Average Calculator combines paired values and weights into one weighted mean. Use it for grades, portfolio weights, survey scores, blended rates, or any case where some values should count more than others.

Permalink

Input guidance

Enter the values as a list.

How to use this tool

Enter the values as a list.
Enter the matching weights in the same order.
Review the weighted average and confirm every value has the intended weight.

Weighted Average Inputs

Enter comma-separated values and matching weights.

Result

Weighted average: 84.000000

Weight sum: 1.000000

Formula or method

Values and weights are parsed as numeric lists and must have the same length.
Weighted average is sum(value * weight) divided by sum(weights).
The weight sum must be positive for a valid result.

How to interpret the result

Interpret the result alongside sample quality, distribution assumptions, independence, and the selected confidence or significance level.

Confidence and limitations

Outputs are deterministic formula results and depend entirely on input quality and units.
Results are for planning and learning; verify with domain standards before safety-critical use.
Rounding and finite precision can introduce small differences in edge cases.

Related tools and workflows

Related statistics tools help check nearby samples, distributions, intervals, tests, or visual summaries in the same analysis. Start with Binomial Probability Calculator, Linear Regression Calculator, and Standard Deviation Calculator when you need a quick follow-up check.

Binomial Probability Calculator

Compute exact and cumulative binomial probabilities for n, k, p.

Linear Regression Calculator

Fit a best-fit line from point data and compute r and R².

Standard Deviation Calculator

Calculate mean, variance, and standard deviation for a dataset.

Z-Score Percentile Calculator

Convert values to z-scores and estimate normal-distribution percentile.

ANOVA One Way Calculator

Run one-way ANOVA summary statistics for multiple groups.