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geometric mean
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geometric mean

mathematics
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In mathematics, the geometric mean is a type of mean that indicates the central tendency or typical value of a set of numbers by using the product of their values (rather than the sum) which is then taken to the nth root, where n is the count of numbers in the set. It is specifically defined as the nth root of the product of n numbers.12

For example, the geometric mean of 9 and 4 is 6, because ( \sqrt{9 \times 4} = \sqrt{36} = 6 ). This is distinct from the arithmetic mean, which is the sum of the numbers divided by their count. The geometric mean is particularly useful when dealing with quantities that multiply or grow exponentially, such as in finance or population growth.12

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