Finite Math Examples

$30$ , $0$ , $23$ , $500$ , $33$ , $120$ , $29$ , $210$ , $24$ , $400$ , $27$ , $550$ , $27$ , $100$ , $32$ , $480$

Step 1

The mean of a set of numbers is the sum divided by the number of terms.

$\frac{30 + 0 + 23 + 500 + 33 + 120 + 29 + 210 + 24 + 400 + 27 + 550 + 27 + 100 + 32 + 480}{16}$

Step 2

Simplify the numerator.

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Step 2.1

Add $30$ and $0$ .

$\frac{30 + 23 + 500 + 33 + 120 + 29 + 210 + 24 + 400 + 27 + 550 + 27 + 100 + 32 + 480}{16}$

Step 2.2

Add $30$ and $23$ .

$\frac{53 + 500 + 33 + 120 + 29 + 210 + 24 + 400 + 27 + 550 + 27 + 100 + 32 + 480}{16}$

Step 2.3

Add $53$ and $500$ .

$\frac{553 + 33 + 120 + 29 + 210 + 24 + 400 + 27 + 550 + 27 + 100 + 32 + 480}{16}$

Step 2.4

Add $553$ and $33$ .

$\frac{586 + 120 + 29 + 210 + 24 + 400 + 27 + 550 + 27 + 100 + 32 + 480}{16}$

Step 2.5

Add $586$ and $120$ .

$\frac{706 + 29 + 210 + 24 + 400 + 27 + 550 + 27 + 100 + 32 + 480}{16}$

Step 2.6

Add $706$ and $29$ .

$\frac{735 + 210 + 24 + 400 + 27 + 550 + 27 + 100 + 32 + 480}{16}$

Step 2.7

Add $735$ and $210$ .

$\frac{945 + 24 + 400 + 27 + 550 + 27 + 100 + 32 + 480}{16}$

Step 2.8

Add $945$ and $24$ .

$\frac{969 + 400 + 27 + 550 + 27 + 100 + 32 + 480}{16}$

Step 2.9

Add $969$ and $400$ .

$\frac{1369 + 27 + 550 + 27 + 100 + 32 + 480}{16}$

Step 2.10

Add $1369$ and $27$ .

$\frac{1396 + 550 + 27 + 100 + 32 + 480}{16}$

Step 2.11

Add $1396$ and $550$ .

$\frac{1946 + 27 + 100 + 32 + 480}{16}$

Step 2.12

Add $1946$ and $27$ .

$\frac{1973 + 100 + 32 + 480}{16}$

Step 2.13

Add $1973$ and $100$ .

$\frac{2073 + 32 + 480}{16}$

Step 2.14

Add $2073$ and $32$ .

$\frac{2105 + 480}{16}$

Step 2.15

Add $2105$ and $480$ .

$\frac{2585}{16}$

Step 3

Divide.

$161.5625$

Step 4

The 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.

$161.6$