Average calculator
Arithmetic and weighted average with a dot-plot visualisation, median and range.
Adds all values and divides by their count – each value has equal weight.
Separate numbers with a comma, space or new line.
Enter at least two values – the average appears instantly.
Arithmetic mean
The arithmetic mean is the most common “average” – add all the values and divide by their count. Every value carries equal weight.
x̄ = (x₁ + x₂ + … + xₙ) ÷ n
Example: the average of grades 82, 91, 76, 88, 95 = 432 ÷ 5 = 86.4.
Weighted average
A weighted average gives different values different importance (weight). It's used, for example, for grades with different weights or prices with different quantities. You multiply each value by its weight, sum the results, and divide by the sum of the weights.
x̄ = (x₁·p₁ + x₂·p₂ + … + xₙ·pₙ) ÷ (p₁ + p₂ + … + pₙ)
Example: grades 1 (weight 3), 2 (weight 1), 3 (weight 1) → (1·3 + 2·1 + 3·1) ÷ (3+1+1) = 8 ÷ 5 = 1.6.
Mean vs. median
The mean is sensitive to extreme values – one very high salary raises the average of an entire group, even though most people earn less. The median (the middle value of a sorted list) doesn't suffer from this and often better represents a “typical” value. That's why the calculator shows both – when they differ significantly, the data has a skewed distribution or outliers.
Tip: watch the visualisation – the farther the dots lie from the vertical average line, the more spread out your data is.