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Geometric Mean Calculator
Calculate geometric mean step by step
For the given group of values, the calculator will find their geometric mean, with steps shown.
Related calculators: Average Calculator, Harmonic Mean Calculator
Your Input
Find the geometric mean of $$$6$$$, $$$18$$$, $$$3$$$, $$$4$$$.
Solution
The geometric mean of data is given by the formula $$$\left(\prod_{i=1}^{n} x_{i}\right)^{\frac{1}{n}}$$$, where $$$n$$$ is the number of values and $$$x_i, i=\overline{1..n}$$$ are the values themselves.
Since we have $$$4$$$ points, $$$n = 4$$$.
The product of the values is $$$\left(6\right)\cdot \left(18\right)\cdot \left(3\right)\cdot \left(4\right) = 1296$$$.
Therefore, the geometric mean is $$$\sqrt[4]{1296} = 6$$$.
Answer
The geometric mean is $$$6$$$A.