Finite Math Examples

$162$ , $99$ , $174$ , $267$ , $103$ , $204$ , $108$ , $197$ , $270$ , $208$ , $143$ , $230$ , $140$ , $148$ , $228$

Step 1

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

$\frac{162 + 99 + 174 + 267 + 103 + 204 + 108 + 197 + 270 + 208 + 143 + 230 + 140 + 148 + 228}{15}$

Step 2

Simplify the numerator.

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Step 2.1

Add $162$ and $99$ .

$\frac{261 + 174 + 267 + 103 + 204 + 108 + 197 + 270 + 208 + 143 + 230 + 140 + 148 + 228}{15}$

Step 2.2

Add $261$ and $174$ .

$\frac{435 + 267 + 103 + 204 + 108 + 197 + 270 + 208 + 143 + 230 + 140 + 148 + 228}{15}$

Step 2.3

Add $435$ and $267$ .

$\frac{702 + 103 + 204 + 108 + 197 + 270 + 208 + 143 + 230 + 140 + 148 + 228}{15}$

Step 2.4

Add $702$ and $103$ .

$\frac{805 + 204 + 108 + 197 + 270 + 208 + 143 + 230 + 140 + 148 + 228}{15}$

Step 2.5

Add $805$ and $204$ .

$\frac{1009 + 108 + 197 + 270 + 208 + 143 + 230 + 140 + 148 + 228}{15}$

Step 2.6

Add $1009$ and $108$ .

$\frac{1117 + 197 + 270 + 208 + 143 + 230 + 140 + 148 + 228}{15}$

Step 2.7

Add $1117$ and $197$ .

$\frac{1314 + 270 + 208 + 143 + 230 + 140 + 148 + 228}{15}$

Step 2.8

Add $1314$ and $270$ .

$\frac{1584 + 208 + 143 + 230 + 140 + 148 + 228}{15}$

Step 2.9

Add $1584$ and $208$ .

$\frac{1792 + 143 + 230 + 140 + 148 + 228}{15}$

Step 2.10

Add $1792$ and $143$ .

$\frac{1935 + 230 + 140 + 148 + 228}{15}$

Step 2.11

Add $1935$ and $230$ .

$\frac{2165 + 140 + 148 + 228}{15}$

Step 2.12

Add $2165$ and $140$ .

$\frac{2305 + 148 + 228}{15}$

Step 2.13

Add $2305$ and $148$ .

$\frac{2453 + 228}{15}$

Step 2.14

Add $2453$ and $228$ .

$\frac{2681}{15}$

Step 3

Divide.

$178.7\overline{3}$

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.

$178.7$