Statistical Aggregation Engine

Durchschnitt von Prozenten Rechner

Find the average of multiple percentages with support for both simple averages and sample-size weighted percentage averages.

Percentages & Optional Weights

Add percentages and sample sizes (weights) below.

Weighted Average Percentage
82.50 %
Accounts for sample size
Simple vs Weighted Comparison
  • A
    Simple Unweighted Average:
    (80 + 90 + 70) / 3 = 80.00%
  • B
    Sample-Weighted Average:
    Σ(Value × Weight) / Σ(Weights) = 82.50%

Can You Average Percentages? (Statistical Rule)

One of the most common mathematical pitfalls is taking a simple average of percentages when the underlying group sizes are unequal.

For instance, if Group A has 10 people with an 80% pass rate, and Group B has 1,000 people with a 90% pass rate, averaging (80% + 90%) / 2 = 85% is statistically inaccurate because Group B contains 100 times more people. You must use a weighted average.

Weighted Average of Percentages Formula
Weighted Average = (P₁ × W₁ + P₂ × W₂ + ... + Pₙ × Wₙ) / (W₁ + W₂ + ... + Wₙ)