Statistics Examples

$12$ , $15$ , $45$

Step 1

Use the formula to find the geometric mean.

$\sqrt[3]{12 \cdot 15 \cdot 45}$

Step 2

Multiply $12$ by $15$ .

$\sqrt[3]{180 \cdot 45}$

Step 3

Multiply $180$ by $45$ .

$\sqrt[3]{8100}$

Step 4

Rewrite $8100$ as $3^{3} \cdot 300$ .

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Step 4.1

Factor $27$ out of $8100$ .

$\sqrt[3]{27 (300)}$

Step 4.2

Rewrite $27$ as $3^{3}$ .

$\sqrt[3]{3^{3} \cdot 300}$

Step 5

Pull terms out from under the radical.

$3 \sqrt[3]{300}$

Step 6

Approximate the result.

$20.0829885$

Step 7

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.

$20.1$