Finite Math Examples

$2.08$ , $1.77$ , $1.63$ , $1.43$ , $1.25$ , $1.62$ , $1.56$ , $1.74$ , $1.23$ , $1.95$ , $1.26$ , $2.07$ , $1.44$ , $1.73$ , $1.88$ , $1.96$

Step 1

Use the formula to find the geometric mean.

$\sqrt[16]{2.08 \cdot 1.77 \cdot 1.63 \cdot 1.43 \cdot 1.25 \cdot 1.62 \cdot 1.56 \cdot 1.74 \cdot 1.23 \cdot 1.95 \cdot 1.26 \cdot 2.07 \cdot 1.44 \cdot 1.73 \cdot 1.88 \cdot 1.96}$

Step 2

Multiply $2.08$ by $1.77$ .

$\sqrt[16]{3.6816 \cdot 1.63 \cdot 1.43 \cdot 1.25 \cdot 1.62 \cdot 1.56 \cdot 1.74 \cdot 1.23 \cdot 1.95 \cdot 1.26 \cdot 2.07 \cdot 1.44 \cdot 1.73 \cdot 1.88 \cdot 1.96}$

Step 3

Multiply $3.6816$ by $1.63$ .

$\sqrt[16]{6.001008 \cdot 1.43 \cdot 1.25 \cdot 1.62 \cdot 1.56 \cdot 1.74 \cdot 1.23 \cdot 1.95 \cdot 1.26 \cdot 2.07 \cdot 1.44 \cdot 1.73 \cdot 1.88 \cdot 1.96}$

Step 4

Multiply $6.001008$ by $1.43$ .

$\sqrt[16]{8.58144144 \cdot 1.25 \cdot 1.62 \cdot 1.56 \cdot 1.74 \cdot 1.23 \cdot 1.95 \cdot 1.26 \cdot 2.07 \cdot 1.44 \cdot 1.73 \cdot 1.88 \cdot 1.96}$

Step 5

Multiply $8.58144144$ by $1.25$ .

$\sqrt[16]{10.7268018 \cdot 1.62 \cdot 1.56 \cdot 1.74 \cdot 1.23 \cdot 1.95 \cdot 1.26 \cdot 2.07 \cdot 1.44 \cdot 1.73 \cdot 1.88 \cdot 1.96}$

Step 6

Multiply $10.7268018$ by $1.62$ .

$\sqrt[16]{17.37741891 \cdot 1.56 \cdot 1.74 \cdot 1.23 \cdot 1.95 \cdot 1.26 \cdot 2.07 \cdot 1.44 \cdot 1.73 \cdot 1.88 \cdot 1.96}$

Step 7

Multiply $17.37741891$ by $1.56$ .

$\sqrt[16]{27.1087735 \cdot 1.74 \cdot 1.23 \cdot 1.95 \cdot 1.26 \cdot 2.07 \cdot 1.44 \cdot 1.73 \cdot 1.88 \cdot 1.96}$

Step 8

Multiply $27.1087735$ by $1.74$ .

$\sqrt[16]{47.1692659 \cdot 1.23 \cdot 1.95 \cdot 1.26 \cdot 2.07 \cdot 1.44 \cdot 1.73 \cdot 1.88 \cdot 1.96}$

Step 9

Multiply $47.1692659$ by $1.23$ .

$\sqrt[16]{58.01819706 \cdot 1.95 \cdot 1.26 \cdot 2.07 \cdot 1.44 \cdot 1.73 \cdot 1.88 \cdot 1.96}$

Step 10

Multiply $58.01819706$ by $1.95$ .

$\sqrt[16]{113.13548427 \cdot 1.26 \cdot 2.07 \cdot 1.44 \cdot 1.73 \cdot 1.88 \cdot 1.96}$

Step 11

Multiply $113.13548427$ by $1.26$ .

$\sqrt[16]{142.55071018 \cdot 2.07 \cdot 1.44 \cdot 1.73 \cdot 1.88 \cdot 1.96}$

Step 12

Multiply $142.55071018$ by $2.07$ .

$\sqrt[16]{295.07997008 \cdot 1.44 \cdot 1.73 \cdot 1.88 \cdot 1.96}$

Step 13

Multiply $295.07997008$ by $1.44$ .

$\sqrt[16]{424.91515692 \cdot 1.73 \cdot 1.88 \cdot 1.96}$

Step 14

Multiply $424.91515692$ by $1.73$ .

$\sqrt[16]{735.10322147 \cdot 1.88 \cdot 1.96}$

Step 15

Multiply $735.10322147$ by $1.88$ .

$\sqrt[16]{1381.99405637 \cdot 1.96}$

Step 16

Multiply $1381.99405637$ by $1.96$ .

$\sqrt[16]{2708.70835049}$

Step 17

Approximate the result.

$1.63888183$

Step 18

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.

$1.639$