Pre-Algebra Examples

11

$11$ ,

13

$13$ ,

5

$5$ ,

15

$15$ ,

14

$14$

Step 1

Use the formula to find the geometric mean.

\sqrt[5]{11 \cdot 13 \cdot 5 \cdot 15 \cdot 14}

$\sqrt[5]{11 \cdot 13 \cdot 5 \cdot 15 \cdot 14}$

Step 2

Multiply

11

$11$ by

13

$13$ .

\sqrt[5]{143 \cdot 5 \cdot 15 \cdot 14}

$\sqrt[5]{143 \cdot 5 \cdot 15 \cdot 14}$

Step 3

Multiply

143

$143$ by

5

$5$ .

\sqrt[5]{715 \cdot 15 \cdot 14}

$\sqrt[5]{715 \cdot 15 \cdot 14}$

Step 4

Multiply

715

$715$ by

15

$15$ .

\sqrt[5]{10725 \cdot 14}

$\sqrt[5]{10725 \cdot 14}$

Step 5

Multiply

10725

$10725$ by

14

$14$ .

\sqrt[5]{150150}

$\sqrt[5]{150150}$

Step 6

Approximate the result.

10.84688578

$10.84688578$

Step 7

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.

10.8

$10.8$