Find the Geometric Mean 108 , 66 , 141 , 99

$108$ , $66$ , $141$ , $99$

Step 1

Use the formula to find the geometric mean.

$\sqrt[4]{108 \cdot 66 \cdot 141 \cdot 99}$

Step 2

Multiply $108$ by $66$ .

$\sqrt[4]{7128 \cdot 141 \cdot 99}$

Step 3

Multiply $7128$ by $141$ .

$\sqrt[4]{1005048 \cdot 99}$

Step 4

Multiply $1005048$ by $99$ .

$\sqrt[4]{99499752}$

Step 5

Rewrite $99499752$ as $3^{4} \cdot 1228392$ .

Factor $81$ out of $99499752$ .

$\sqrt[4]{81 (1228392)}$

Rewrite $81$ as $3^{4}$ .

$\sqrt[4]{3^{4} \cdot 1228392}$

Step 6

Pull terms out from under the radical.

$3 \sqrt[4]{1228392}$

Step 7

Approximate the result.

$99.8747027$

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.

$99.9$

Find the Geometric Mean 108 , 66 , 141 , 99

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