Statistics Examples

1

$1$ ,

2

$2$ ,

4

$4$ ,

7

$7$ ,

9

$9$ ,

10

$10$

Step 1

Use the formula to find the geometric mean.

\sqrt[6]{1 \cdot 2 \cdot 4 \cdot 7 \cdot 9 \cdot 10}

$\sqrt[6]{1 \cdot 2 \cdot 4 \cdot 7 \cdot 9 \cdot 10}$

Step 2

Multiply

2

$2$ by

1

$1$ .

\sqrt[6]{2 \cdot 4 \cdot 7 \cdot 9 \cdot 10}

$\sqrt[6]{2 \cdot 4 \cdot 7 \cdot 9 \cdot 10}$

Step 3

Multiply

2

$2$ by

4

$4$ .

\sqrt[6]{8 \cdot 7 \cdot 9 \cdot 10}

$\sqrt[6]{8 \cdot 7 \cdot 9 \cdot 10}$

Step 4

Multiply

8

$8$ by

7

$7$ .

\sqrt[6]{56 \cdot 9 \cdot 10}

$\sqrt[6]{56 \cdot 9 \cdot 10}$

Step 5

Multiply

56

$56$ by

9

$9$ .

\sqrt[6]{504 \cdot 10}

$\sqrt[6]{504 \cdot 10}$

Step 6

Multiply

504

$504$ by

10

$10$ .

\sqrt[6]{5040}

$\sqrt[6]{5040}$

Step 7

Approximate the result.

4.14068083

$4.14068083$

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.

4.1

$4.1$

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