Statistics Examples

12

$12$ ,

14

$14$

Step 1

Use the formula to find the geometric mean.

\sqrt{12 \cdot 14}

$\sqrt{12 \cdot 14}$

Step 2

Multiply

12

$12$ by

14

$14$ .

\sqrt{168}

$\sqrt{168}$

Step 3

Rewrite

168

$168$ as

2^{2} \cdot 42

$2^{2} \cdot 42$ .

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Step 3.1

Factor

4

$4$ out of

168

$168$ .

\sqrt{4 (42)}

$\sqrt{4 (42)}$

Step 3.2

Rewrite

4

$4$ as

2^{2}

$2^{2}$ .

\sqrt{2^{2} \cdot 42}

$\sqrt{2^{2} \cdot 42}$

\sqrt{2^{2} \cdot 42}

$\sqrt{2^{2} \cdot 42}$

Step 4

Pull terms out from under the radical.

2 \sqrt{42}

$2 \sqrt{42}$

Step 5

Approximate the result.

12.96148139

$12.96148139$

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.

13

$13$

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