📊 Statistics Calculator

Average Calculator

Calculate the arithmetic mean, geometric mean, harmonic mean, weighted average, and trimmed mean from any list of numbers — with instant step-by-step working.

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Arithmetic mean = Sum ÷ Count

Frequently Asked Questions

What is the geometric mean?
The geometric mean is the nth root of the product of n values. It is used for rates of growth, financial returns, and ratios — areas where multiplicative effects matter. GM = (x₁×x₂×…×xn)^(1/n).
When should I use the harmonic mean?
Use the harmonic mean for averaging rates (e.g., speeds, prices-per-unit). For example, if you drive 60 km/h for 1 hour and 40 km/h for 1 hour, the harmonic mean gives the correct average speed of 48 km/h.
What is a trimmed mean?
A trimmed (truncated) mean removes the top and bottom X% of values before averaging. This reduces the effect of outliers while retaining more data than the median — used in Olympic scoring and economic reporting.