Statistics Examples

$5$ and $15$

Step 1

Use the formula to find the geometric mean.

$\sqrt{5 \cdot 15}$

Step 2

Multiply $5$ by $15$ .

$\sqrt{75}$

Step 3

Rewrite $75$ as $5^{2} \cdot 3$ .

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Step 3.1

Factor $25$ out of $75$ .

$\sqrt{25 (3)}$

Step 3.2

Rewrite $25$ as $5^{2}$ .

$\sqrt{5^{2} \cdot 3}$

Step 4

Pull terms out from under the radical.

$5 \sqrt{3}$

Step 5

Approximate the result.

$8.66025403$

Step 6

The geometric mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

$8.7$