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Início›📐 Matemática e Ciência›Calculadora de Médias Ponderadas
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Calculadora de Médias Ponderadas Online Grátis

Mean, weighted mean, and running average for any dataset

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The Average Calculator computes the arithmetic mean, weighted mean, and running average for any list of numbers. The weighted mean mode allows each value to carry a different importance — essential for GPA calculations, weighted test scores, and portfolio returns. Enter a comma-separated list and all three averages compute simultaneously.

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Average Calculator

Mean, weighted mean, and running average for any dataset

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Frequently Asked Questions

Our calculators use industry-standard formulas verified against academic sources and professional tools. Results are for informational and educational purposes — always verify important financial, health, or technical decisions with a qualified professional.
No. All calculations run entirely in your browser. Your inputs are never transmitted to any server, logged, or stored — complete privacy by design.
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Sobre Esta Calculadora

The arithmetic mean (simple average) is the sum of all values divided by the count. It is the most commonly used measure of central tendency but is sensitive to outliers — a single extreme value can significantly shift the mean. For this reason, comparing the mean with the median (from the Statistics Calculator) is often informative.

The weighted mean assigns a different importance (weight) to each value, so some observations contribute more to the final average than others. GPA calculation is a classic example: a 4-credit course contributes more than a 1-credit course. Investment portfolio returns are weighted by the value allocated to each asset.

The running average mode shows how the cumulative mean changes as each value is added to the dataset — useful for tracking trends in a time series or monitoring how a few recent data points affect an overall average.

A média ponderada no peso certo do seu banco no registro da métrica e da nota com aprovação real!

Exemplo Resolvido

Weighted average for a student with three assignment scores

Entradas:

  • Quiz: 80 (weight 20%)
  • Midterm: 72 (weight 35%)
  • Final: 91 (weight 45%)

Passo a Passo:

  1. Weighted mean = Σ(value × weight) / Σ(weights)
  2. Quiz contribution: 80 × 0.20 = 16.0
  3. Midterm contribution: 72 × 0.35 = 25.2
  4. Final contribution: 91 × 0.45 = 40.95
  5. Sum of weighted values: 16.0 + 25.2 + 40.95 = 82.15
  6. Sum of weights: 0.20 + 0.35 + 0.45 = 1.00
  7. Weighted average = 82.15 / 1.00 = 82.15
  8. Simple (unweighted) mean: (80 + 72 + 91) / 3 = 243/3 = 81.0
Resultado: Weighted average = 82.15. Simple mean = 81.0. The final exam's high weight elevated the overall grade.

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