--- title: "Weighted Average Calculator | Numequo" description: "Calculate a weighted average and understand the contribution of every value and coefficient. Free, fast and easy to use." canonical: "https://www.numequo.com/math/descriptive-statistics/weighted-average-calculator/" locale: "en" --- [Numequo](https://www.numequo.com/) › [Math](https://www.numequo.com/math/) › [Descriptive statistics](https://www.numequo.com/math/descriptive-statistics/) # Weighted Average Calculator Enter as many values and weights as needed. The visual breakdown shows how each pair contributes to the final average. ## Input data - **Value 1** - type: number; default: 12; step: 0.01 - **Weight 1** - type: number; default: 2; min: 0; step: 0.01 - **Value 2** - type: number; default: 15; step: 0.01 - **Weight 2** - type: number; default: 1; min: 0; step: 0.01 - **Value 3** - type: number; default: 18; step: 0.01 - **Weight 3** - type: number; default: 3; min: 0; step: 0.01 - **Value 4** - type: number; default: 14; step: 0.01 - **Weight 4** - type: number; default: 2; min: 0; step: 0.01 ## How it works Weighted average = Σ(value × weight) ÷ Σ(weights). A larger weight gives its value more influence on the result. ## Quick examples - **Grades with coefficients** - Value 1: 12, Weight 1: 2, Value 2: 15, Weight 2: 1, Value 3: 18, Weight 3: 3, Value 4: 14, Weight 4: 2 - **Two equally weighted values** - Value 1: 10, Weight 1: 1, Value 2: 20, Weight 2: 1, Value 3: 0, Weight 3: 0, Value 4: 0, Weight 4: 0 - **Price per quantity** - Value 1: 4.5, Weight 1: 10, Value 2: 5.2, Weight 2: 25, Value 3: 4.8, Weight 3: 15, Value 4: 0, Weight 4: 0 ## Understanding your result The result is the balance point of the entered values after accounting for their relative importance. It must lie between the smallest and largest values when all weights are positive. Last verified: 29 September 2026 (2026-09-29) ## Frequently asked questions ### What is a weighted average? It is an average in which each value has a weight representing its relative importance or frequency. ### How are zero weights handled? A value with a zero weight has no effect on the average. At least one weight must be greater than zero. ### Do weights need to add up to 100? No. They may be coefficients, quantities or percentages. The calculator divides by their total automatically. ### What is the difference from a simple average? A simple average gives every value the same importance. A weighted average lets some values contribute more than others. ## Related calculators - [Quartile and Interquartile Range Calculator](https://www.numequo.com/math/descriptive-statistics/quartile-interquartile-range-calculator/) - Sort a dataset, calculate its quartiles and IQR, and explore its distribution on a visual scale. - [Rounding Calculator](https://www.numequo.com/math/numbers-notation/rounding-calculator/) - Round a number to a chosen decimal place and see which digit determines the result. - [Percentage Calculator](https://www.numequo.com/math/percentages/percentage-calculator/) - Find any percentage of a number instantly. - [Percentage Change Calculator](https://www.numequo.com/math/percentages/percentage-change-calculator/) - Measure the increase or decrease between two values. - [Rule of Three Calculator](https://www.numequo.com/math/proportions-ratios/rule-of-three-calculator/) - Solve a direct proportion from three known values and see every cross-multiplication step. - [Significant Figures Calculator](https://www.numequo.com/math/numbers-notation/significant-figures-calculator/) - Round a value to the requested number of significant figures and identify its first significant digit. ## Structured data ```json { "@context": "https://schema.org", "@graph": [ { "@type": "WebPage", "@id": "https://www.numequo.com/math/descriptive-statistics/weighted-average-calculator/#page", "name": "Weighted Average Calculator | Numequo", "description": "Calculate a weighted average and understand the contribution of every value and coefficient. 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At least one weight must be greater than zero." } }, { "@type": "Question", "name": "Do weights need to add up to 100?", "acceptedAnswer": { "@type": "Answer", "text": "No. They may be coefficients, quantities or percentages. The calculator divides by their total automatically." } }, { "@type": "Question", "name": "What is the difference from a simple average?", "acceptedAnswer": { "@type": "Answer", "text": "A simple average gives every value the same importance. A weighted average lets some values contribute more than others." } } ] } ] } ```