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The geometric mean is defined as the nth root of the product of n numbers, i.e., for a set of numbers, the geometric mean is defined as.For instance, the geometric mean of two numbers, say 2 and 8, is just the square root of their product; that is.or example, the geometric mean of 2 and 8 can be calculated as: where is any base of a logarithm (commonly 2, or 10). The right-hand side formula above is generally the preferred alternative for implementation in computer languages.
The geometric mean of a data set is less than or equal to the data set's arithmetic mean (the two means are equal if and only if all members of the data set are equal). Geometric Mean is one of the measures of central tendency.The geometric mean of $n$ items is defined as the $n^{th}$ root of the product of the $n$ items. A measure of central tendency is a single value in the range of the data that is used to represent all the values in the series.eometric Mean is the square root of the product of the two numbers. When $a, b, c$ are in Geometric progression, $b$ is the geometric mean of $a$ and $c$.