Pre-Algebra Examples

$15$ , $13$ , $7$ , $6$ , $15$ , $15$ , $7$ , $11$

Step 1

Use the formula to find the geometric mean.

$\sqrt[8]{15 \cdot 13 \cdot 7 \cdot 6 \cdot 15 \cdot 15 \cdot 7 \cdot 11}$

Step 2

Multiply $15$ by $13$ .

$\sqrt[8]{195 \cdot 7 \cdot 6 \cdot 15 \cdot 15 \cdot 7 \cdot 11}$

Step 3

Multiply $195$ by $7$ .

$\sqrt[8]{1365 \cdot 6 \cdot 15 \cdot 15 \cdot 7 \cdot 11}$

Step 4

Multiply $1365$ by $6$ .

$\sqrt[8]{8190 \cdot 15 \cdot 15 \cdot 7 \cdot 11}$

Step 5

Multiply $8190$ by $15$ .

$\sqrt[8]{122850 \cdot 15 \cdot 7 \cdot 11}$

Step 6

Multiply $122850$ by $15$ .

$\sqrt[8]{1842750 \cdot 7 \cdot 11}$

Step 7

Multiply $1842750$ by $7$ .

$\sqrt[8]{12899250 \cdot 11}$

Step 8

Multiply $12899250$ by $11$ .

$\sqrt[8]{141891750}$

Step 9

Approximate the result.

$10.44707333$

Step 10

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.

$10.4$