Finite Math Examples

$46$ , $54$ , $42$ , $46$ , $32$

Step 1

Use the formula to find the geometric mean.

$\sqrt[5]{46 \cdot 54 \cdot 42 \cdot 46 \cdot 32}$

Step 2

Multiply $46$ by $54$ .

$\sqrt[5]{2484 \cdot 42 \cdot 46 \cdot 32}$

Step 3

Multiply $2484$ by $42$ .

$\sqrt[5]{104328 \cdot 46 \cdot 32}$

Step 4

Multiply $104328$ by $46$ .

$\sqrt[5]{4799088 \cdot 32}$

Step 5

Multiply $4799088$ by $32$ .

$\sqrt[5]{153570816}$

Step 6

Rewrite $153570816$ as $2^{5} \cdot 4799088$ .

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Step 6.1

Factor $32$ out of $153570816$ .

$\sqrt[5]{32 (4799088)}$

Step 6.2

Rewrite $32$ as $2^{5}$ .

$\sqrt[5]{2^{5} \cdot 4799088}$

Step 7

Pull terms out from under the radical.

$2 \sqrt[5]{4799088}$

Step 8

Approximate the result.

$43.37722232$

Step 9

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.

$43.4$