MATH / DESCRIPTIVE STATISTICS

Weighted Mean Calculator

Calculate a weighted mean for four observations. Review the equation, substituted values, result, assumptions, and interpretation in one guided workspace.

01 Calculated in this tab
02 Values stay in this browser tab
03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Equation inputs

First valueEnter the first value using one consistent scenario and unit convention.First weightEnter the first weight using one consistent scenario and unit convention.Second valueEnter the second value using one consistent scenario and unit convention.Second weightEnter the second weight using one consistent scenario and unit convention.Third valueEnter the third value using one consistent scenario and unit convention.Third weightEnter the third weight using one consistent scenario and unit convention.Fourth valueEnter the fourth value using one consistent scenario and unit convention.Fourth weightEnter the fourth weight using one consistent scenario and unit convention.

Preparing the calculator...

Use boundary

Calculation path

Calculate a weighted mean for four observations. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

xw=sum(wx)/sum(w)

What you provide

First value, using the same scenario as the other inputs
First weight, using the same scenario as the other inputs
Second value, using the same scenario as the other inputs
Second weight, using the same scenario as the other inputs
Third value, using the same scenario as the other inputs
Third weight, using the same scenario as the other inputs
Fourth value, using the same scenario as the other inputs
Fourth weight, using the same scenario as the other inputs

What you receive

Weighted mean from the stated equation
A symbolic formula plus substituted working with your values
Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

Use one consistent dataset or geometric scale and verify assumptions before interpreting rounded results.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

OpenStax College Algebra 2e

Weighted Mean Calculator

Calculation path

What you provide

What you receive

Choose the maximum decimal places shown. This does not increase source accuracy.

Reviewed reference factors

Related unit tools