Statistics Examples

$23$ , $32$ , $45$ , $56$

Step 1

Use the formula to find the geometric mean.

$\sqrt[4]{23 \cdot 32 \cdot 45 \cdot 56}$

Step 2

Multiply $23$ by $32$ .

$\sqrt[4]{736 \cdot 45 \cdot 56}$

Step 3

Multiply $736$ by $45$ .

$\sqrt[4]{33120 \cdot 56}$

Step 4

Multiply $33120$ by $56$ .

$\sqrt[4]{1854720}$

Step 5

Rewrite $1854720$ as $4^{4} \cdot 7245$ .

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Step 5.1

Factor $256$ out of $1854720$ .

$\sqrt[4]{256 (7245)}$

Step 5.2

Rewrite $256$ as $4^{4}$ .

$\sqrt[4]{4^{4} \cdot 7245}$

Step 6

Pull terms out from under the radical.

$4 \sqrt[4]{7245}$

Step 7

Approximate the result.

$36.9036726$

Step 8

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.

$36.9$

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