Geometric mean of 11, 44

The calculator will find the geometric mean of 11, 44, with steps shown.

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Your Input

Find the geometric mean of 11, 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 22 points, n=2n = 2.

The product of the values is (1)(4)=4\left(1\right)\cdot \left(4\right) = 4.

Therefore, the geometric mean is 4=2\sqrt{4} = 2.

Answer

The geometric mean is 22A.