How do I calculate the arithmetic mean?

Add all values and divide the total by the number of values. For example, the arithmetic mean of 10, 20, and 30 is 20.

When should I use the geometric mean?

Use the geometric mean for growth rates, investment returns, and values that combine multiplicatively. This calculator computes it only when every value is positive.

What is the harmonic mean used for?

The harmonic mean is especially useful for speeds over equal distances, rates, and per-unit values. It is undefined when the data contains zero.

Are average and median the same?

No. The average uses the sum of all values, while the median is the middle value in a sorted list. Median and additional measures will be available in the Statistics Calculator.

Can I calculate an average with negative numbers?

Arithmetic mean, sum, minimum, and maximum support negative numbers. In the real-number system, the geometric mean requires every value to be positive.

How can I enter decimal numbers?

Use a decimal point or comma, and separate each value with a space, new line, or semicolon.

Tools/🧮 Calculators/Average Calculator

Average Calculator

Calculate arithmetic, geometric, and harmonic means along with sum, minimum, and maximum values.

Version 1.0 · Last Updated: August 7, 2026 · Maintained by ToolLarder

How are different types of averages calculated?

The Average Calculator analyzes a list of numbers at once and returns three types of mean plus key summary values. Choose the appropriate average for grades, measurements, growth rates, speeds, and other comparisons.

Arithmetic mean calculator

The arithmetic mean is what most people mean by average. Add all values and divide the total by the number of values.

(x₁ + x₂ + … + xₙ) ÷ n

Geometric mean calculator

Use the geometric mean for growth rates, investment returns, and proportional changes. Every input value must be positive.

ⁿ√(x₁ × x₂ × … × xₙ)

Harmonic mean calculator

The harmonic mean is useful for speeds, rates, and per-unit values. The input list must not contain zero.

n ÷ (1/x₁ + 1/x₂ + … + 1/xₙ)

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