What is the difference between arithmetic mean and weighted mean?

Arithmetic mean treats all values equally by summing them and dividing by the count. Weighted mean assigns importance (weights) to each value, so some values contribute more to the final average. For example, a final exam worth 40% of your grade has more weight than homework worth 10%.

When should I use geometric mean instead of arithmetic mean?

Use geometric mean when dealing with multiplicative processes like investment returns, population growth rates, or any data involving percentages and ratios. It gives a more accurate average for data that grows exponentially.

Why can't I calculate geometric or harmonic mean with negative numbers?

Geometric mean requires taking roots of products, and harmonic mean requires reciprocals. Both are mathematically undefined or meaningless for negative numbers or zero. Use arithmetic mean or median for datasets containing negative values.

Average Calculator

Calculate arithmetic mean, weighted mean, median, geometric mean, and harmonic mean from any dataset. Perfect for GPA calculations, statistical analysis, and data science with comprehensive central tendency measures and optional weight support.

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Sample Data Sets

Try these sample datasets to test the calculator

Enter Data

Input numbers separated by commas or spaces

Data Values

Supports decimals and negative numbers

Weights (optional)

Must have the same number of weights as data values for weighted mean

How it works: Enter your data values to calculate arithmetic mean, median, geometric mean, and harmonic mean. Optionally add weights for weighted mean. The calculator also shows count, sum, and range statistics.

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