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The geometric mean is a type of average that indicates the central tendency of a set of numbers by using the product of their values. Unlike the arithmetic mean which uses their sum, the geometric mean uses multiplication and the nth root. It is especially useful for sets of numbers that are interpreted according to their product and not their sum, as is the case with rates of return, growth rates, and ratios. All calculations happen in your browser — no data is sent to any server.
Geometric mean is used for calculating average rates of return, growth rates, and ratios. It is especially useful when dealing with percentages and compound interest, as it accounts for compounding effects that arithmetic mean would miss.
Arithmetic mean uses addition and division (sum ÷ count), while geometric mean uses multiplication and roots (nth root of product). For the same set of positive numbers, the geometric mean is always less than or equal to the arithmetic mean.
No. The geometric mean requires all numbers to be positive (greater than zero) because it involves multiplication and taking roots. For data that includes negative values or zeros, consider using the arithmetic mean or another appropriate measure.
Investment returns compound over time. If you gain 50% one year and lose 50% the next, the arithmetic mean would say 0% average return, but the geometric mean correctly shows you actually lost 25% overall. Geometric mean accounts for this compounding effect.
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