Finite Math Examples

$4$ , $6$ , $8$ , $3$ , $9$ , $11$ , $4$ , $7$ , $5$

Step 1

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

$\frac{4 + 6 + 8 + 3 + 9 + 11 + 4 + 7 + 5}{9}$

Step 2

Simplify the numerator.

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Step 2.1

Add $4$ and $6$ .

$\frac{10 + 8 + 3 + 9 + 11 + 4 + 7 + 5}{9}$

Step 2.2

Add $10$ and $8$ .

$\frac{18 + 3 + 9 + 11 + 4 + 7 + 5}{9}$

Step 2.3

Add $18$ and $3$ .

$\frac{21 + 9 + 11 + 4 + 7 + 5}{9}$

Step 2.4

Add $21$ and $9$ .

$\frac{30 + 11 + 4 + 7 + 5}{9}$

Step 2.5

Add $30$ and $11$ .

$\frac{41 + 4 + 7 + 5}{9}$

Step 2.6

Add $41$ and $4$ .

$\frac{45 + 7 + 5}{9}$

Step 2.7

Add $45$ and $7$ .

$\frac{52 + 5}{9}$

Step 2.8

Add $52$ and $5$ .

$\frac{57}{9}$

Step 3

Cancel the common factor of $57$ and $9$ .

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Step 3.1

Factor $3$ out of $57$ .

$\frac{3 (19)}{9}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $3$ out of $9$ .

$\frac{3 \cdot 19}{3 \cdot 3}$

Step 3.2.2

Cancel the common factor.

$\frac{3 \cdot 19}{3 \cdot 3}$

Step 3.2.3

Rewrite the expression.

$\frac{19}{3}$

Step 4

Divide.

$6.\overline{3}$

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.

$6.3$