Finite Math Examples

$196$ , $188$ , $196$ , $185$ , $203$ , $183$ , $183$ , $196$

Step 1

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

$\frac{196 + 188 + 196 + 185 + 203 + 183 + 183 + 196}{8}$

Step 2

Simplify the numerator.

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Step 2.1

Add $196$ and $188$ .

$\frac{384 + 196 + 185 + 203 + 183 + 183 + 196}{8}$

Step 2.2

Add $384$ and $196$ .

$\frac{580 + 185 + 203 + 183 + 183 + 196}{8}$

Step 2.3

Add $580$ and $185$ .

$\frac{765 + 203 + 183 + 183 + 196}{8}$

Step 2.4

Add $765$ and $203$ .

$\frac{968 + 183 + 183 + 196}{8}$

Step 2.5

Add $968$ and $183$ .

$\frac{1151 + 183 + 196}{8}$

Step 2.6

Add $1151$ and $183$ .

$\frac{1334 + 196}{8}$

Step 2.7

Add $1334$ and $196$ .

$\frac{1530}{8}$

Step 3

Cancel the common factor of $1530$ and $8$ .

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Step 3.1

Factor $2$ out of $1530$ .

$\frac{2 (765)}{8}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $8$ .

$\frac{2 \cdot 765}{2 \cdot 4}$

Step 3.2.2

Cancel the common factor.

$\frac{2 \cdot 765}{2 \cdot 4}$

Step 3.2.3

Rewrite the expression.

$\frac{765}{4}$

Step 4

Divide.

$191.25$

Step 5

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.

$191.3$