Geometric Mean Calculator

Calculate the geometric mean of a set of numbers quickly and easily.

Separate numbers using commas

Result:

Understanding Geometric Mean

The geometric mean is a special type of average that is particularly useful when dealing with numbers that have different ranges or when calculating growth rates over time. It's calculated by multiplying all numbers together and then taking the nth root, where n is the count of numbers.

Formula

Geometric Mean = ⁿ√(x₁ × x₂ × ... × xₙ)

Common Applications

The geometric mean is particularly useful in:

  • Finance: Calculating average investment returns
  • Biology: Analyzing population growth
  • Economics: Computing average rates of change
  • Engineering: Determining average ratios