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: Mean Calculator, Harmonic Mean Calculator

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Your Input

Find the geometric mean of 66, 1818, 33, 44.

Solution

The geometric mean of data is given by the formula (i=1nxi)1n\left(\prod_{i=1}^{n} x_{i}\right)^{\frac{1}{n}}, where nn is the number of values and xi,i=1..nx_i, i=\overline{1..n} are the values themselves.

Since we have 44 points, n=4n = 4.

The product of the values is (6)(18)(3)(4)=1296\left(6\right)\cdot \left(18\right)\cdot \left(3\right)\cdot \left(4\right) = 1296.

Therefore, the geometric mean is 12964=6\sqrt[4]{1296} = 6.

Answer

The geometric mean is 66A.