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Weighted Average Calculator Calculate weighted averages with dynamic data entry, showing both weighted and simple averages.

Weighted Average Calculator illustration
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Weighted Average Calculator

Calculate weighted averages with dynamic data entry, showing both weighted and simple averages.

1

Enter Values

Input values and their corresponding weights.

2

Add More Items

Click + to add additional value-weight pairs.

3

View Results

See weighted average, simple average, and total weights.

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What Is Weighted Average Calculator?

The Weighted Average Calculator computes the weighted mean of a set of values where each value has an associated weight or importance factor. Unlike a simple average where all values contribute equally, a weighted average gives more influence to values with higher weights. This is used extensively in finance (portfolio returns), academics (GPA), statistics (survey data), and many other fields. The calculator shows both the weighted and simple averages for comparison, plus total weights and the sum of value × weight products.

Why Use Weighted Average Calculator?

  • Dynamic addition and removal of value-weight pairs
  • Shows both weighted and simple averages for comparison
  • Displays formula and calculation breakdown
  • Useful across academics, finance, statistics, and engineering

Common Use Cases

Academics

Calculate weighted course grades or GPA from credit-weighted courses.

Finance

Compute weighted average cost of capital (WACC) or portfolio returns.

Statistics

Calculate weighted means for survey data with different sample sizes.

Engineering

Compute weighted material properties or performance metrics.

Technical Guide

The weighted average formula is: x̄_w = Σ(xᵢ × wᵢ) / Σ(wᵢ), where xᵢ are the values and wᵢ are the weights. The simple average is: x̄ = Σ(xᵢ) / n. When all weights are equal, the weighted average equals the simple average. Weights do not need to sum to 1 or 100 — they represent relative importance. The calculator normalizes weights internally. Common applications include WACC = Σ(component_cost × component_weight), GPA = Σ(grade_point × credits) / Σ(credits), and survey means = Σ(response × sample_size) / Σ(sample_size).

Tips & Best Practices

  • 1
    Weights represent relative importance — they do not need to sum to 100
  • 2
    When all weights are equal, weighted average equals simple average
  • 3
    Higher weights give more influence to those values in the final result
  • 4
    Useful for combining averages from groups of different sizes

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Frequently Asked Questions

Q What is the difference between weighted and simple average?
A simple average treats all values equally. A weighted average gives more influence to values with higher weights. For example, a final exam worth 50% has more weight than homework worth 10%.
Q Do weights need to add up to 100?
No, weights represent relative importance. The calculator normalizes them. Weights of 1, 2, 3 give the same result as 10, 20, 30.
Q When should I use a weighted average?
Use weighted averages when values have different levels of importance, such as grades with different credit hours, investments with different sizes, or surveys with different sample sizes.
Q What happens if all weights are equal?
When all weights are equal, the weighted average equals the simple arithmetic mean.
Q Can weights be negative?
Weights are typically positive. Negative weights would give a value a "reverse" influence, which is mathematically valid but uncommon in practice.

About This Tool

Weighted Average Calculator is a free online tool by FreeToolkit.ai. All processing happens directly in your browser — your data never leaves your device. No registration or installation required.