Overview

The Average Calculator computes three kinds of means in one tool: arithmetic, weighted, and geometric. Use the arithmetic mean for simple values like test scores, the weighted mean when values have different importance (grade weights, price indices), and the geometric mean for multiplicative quantities like returns and growth rates. Intermediate values such as the sum and count are shown alongside the result.

Formula

Arithmetic mean = (x₁ + x₂ + ... + xₙ) ÷ n = Σxᵢ ÷ n

Weighted mean = Σ(wᵢ × xᵢ) ÷ Σwᵢ
  (wᵢ = weight of each value)

Geometric mean = (x₁ × x₂ × ... × xₙ)^(1/n) = ⁿ√(∏xᵢ)
  (requires all xᵢ > 0)

How to Use

1. 1Select the type of mean to calculate (arithmetic, weighted, or geometric).
2. 2For arithmetic and geometric means, enter numbers separated by commas or spaces.
3. 3For the weighted mean, enter value–weight pairs row by row, adding or removing rows as needed.
4. 4The result is shown with intermediate values such as the sum, total weight, and product.

Tips

• ✔Use the weighted mean for grade calculations with different weights (e.g., midterm 30%, final 50%, homework 20%).
• ✔Use the geometric mean for annualized returns and growth rates. Example: +50% then −50% averages to 0% arithmetically, but only 75% of the principal remains (geometric mean ≈ −13.4%).
• ✔The geometric mean is only defined for positive numbers — convert returns to (1 + return) before entering, then subtract 1 from the result.
• ✔If your data has many outliers, also check the median using the Mean/Median/Mode calculator.

FAQ