Weighted Mean Calculator
Verified Calculation Engine
The online Weighted Mean Calculator helps you calculate instantly and solve problems related to Statistics Advanced. This tool provides accurate results using standard formulas and step-by-step calculation; you can view the formula with example in the calculator where available. Whether you are a student, teacher, or professional, this calculator simplifies complex calculations and saves time. Enter the required values below and get instant results. Results are shown clearly, with optional step-by-step explanation where applicable. The tool is free to use and works in any modern browser—no download or installation required. Bookmark this page for quick access whenever you need reliable Math Numbers calculations.
Calculates weighted mean: x̄_w = Σ(wᵢ·xᵢ)/Σwᵢ where wᵢ are weights and xᵢ are values.
Weighted mean:
x̄_w = Σ(wᵢ·xᵢ)/Σwᵢ
where wᵢ are weights and xᵢ are values
Used when values have different importance
Weighted mean accounts for different weights
Inputs
Results
Worked Examples
Example 1: Basic
Find weighted mean for values [10, 20, 30] with weights [1, 2, 3]
- values: [ 10, 20, 30 ]
- weights: [ 1, 2, 3 ]
- weightedMean: 23.3333
- sumOfWeights: 6
Example 2: Board Level
Student scores: [85, 90, 95] with weights [0.3, 0.3, 0.4] for assignments, midterm, final
- values: [ 85, 90, 95 ]
- weights: [ 0.3, 0.3, 0.4 ]
- weightedMean: 90.5
- sumOfWeights: 1
About this calculator
Overview
Weighted Mean Calculator evaluates Weighted Mean for the math / statistics-advanced library. Primary input cue: Values xᵢ [required]: Array of values. Method anchor: Weighted mean: x̄_w = Σ(wᵢ·xᵢ)/Σwᵢ where wᵢ are weights and xᵢ are values Used when values have different importance. Weighted mean accounts for different weigh.
When to use
Appropriate when weighted mean is the target quantity and the form fields match your known data.
Inputs explained
- Values xᵢ [required]: Array of values
- Weights wᵢ [required]: Array of corresponding weights
Formula / method
Weighted mean: x̄_w = Σ(wᵢ·xᵢ)/Σwᵢ where wᵢ are weights and xᵢ are values Used when values have different importance. Weighted mean accounts for different weights (calculator id: weighted-mean-calculator).
Worked example
Worked values: values = [10, 20, 30], weights = [1, 2, 3] → weightedMean = 23.3333, sumOfWeights = 6
Interpreting results
Cross-check with a simple numeric example before relying on extreme inputs for weighted mean.
Assumptions
- Inputs for `weighted-mean-calculator` follow the on-page labels; values/shapes must match this operation.
- Units (when shown) must be consistent across inputs for weighted mean.
- Real-number arithmetic is used unless weighted mean explicitly needs integers.
Limitations
- Weighted Mean Calculator cannot invent missing inputs; incomplete forms stop short of a forged weighted mean value.
- Display rounding can differ slightly from a CAS/symbolic exact form of weighted mean.
- Complex/branch cuts and undefined points are not always interactively annotated for weighted mean.
Important note
Educational mathematics tool. Check edge cases and domain restrictions when results look unexpected.
How to Use This Calculator
- Enter the required values in the input fields.
- Click the Calculate button.
- View the computed result instantly.
Formula Used
Weighted mean: x̄_w = Σ(wᵢ·xᵢ)/Σwᵢ where wᵢ are weights and xᵢ are values Used when values have different importance. Weighted mean accounts for different weights (calculator id: weighted-mean-calculator).
Example Calculation
Worked values: values = [10, 20, 30], weights = [1, 2, 3] → weightedMean = 23.3333, sumOfWeights = 6
Frequently Asked Questions
What is Weighted Mean Calculator?
- Weighted Mean Calculator evaluates Weighted Mean for the math / statistics-advanced library. Primary input cue: Values xᵢ [required]: Array of values. Method anchor: Weighted mean: x̄_w = Σ(wᵢ·xᵢ)/Σwᵢ where wᵢ are weights and xᵢ are values Used when values have different importance. Weighted mean accounts for different weigh.
How does Weighted Mean Calculator work?
- Weighted mean: x̄_w = Σ(wᵢ·xᵢ)/Σwᵢ where wᵢ are weights and xᵢ are values Used when values have different importance. Weighted mean accounts for different weights (calculator id: weighted-mean-calculator).
Why use this Math Numbers calculator?
- Appropriate when weighted mean is the target quantity and the form fields match your known data.