Find the Mean 10 , 15 , 17 , 18 , 12 , 30 , 14 , 8 , 5 , 16

$10$ , $15$ , $17$ , $18$ , $12$ , $30$ , $14$ , $8$ , $5$ , $16$

Step 1

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

$\frac{10 + 15 + 17 + 18 + 12 + 30 + 14 + 8 + 5 + 16}{10}$

Step 2

Simplify the numerator.

Add $10$ and $15$ .

$\frac{25 + 17 + 18 + 12 + 30 + 14 + 8 + 5 + 16}{10}$

Add $25$ and $17$ .

$\frac{42 + 18 + 12 + 30 + 14 + 8 + 5 + 16}{10}$

Add $42$ and $18$ .

$\frac{60 + 12 + 30 + 14 + 8 + 5 + 16}{10}$

Add $60$ and $12$ .

$\frac{72 + 30 + 14 + 8 + 5 + 16}{10}$

Add $72$ and $30$ .

$\frac{102 + 14 + 8 + 5 + 16}{10}$

Add $102$ and $14$ .

$\frac{116 + 8 + 5 + 16}{10}$

Add $116$ and $8$ .

$\frac{124 + 5 + 16}{10}$

Add $124$ and $5$ .

$\frac{129 + 16}{10}$

Add $129$ and $16$ .

$\frac{145}{10}$

Step 3

Cancel the common factor of $145$ and $10$ .

Factor $5$ out of $145$ .

$\frac{5 (29)}{10}$

Cancel the common factors.

Factor $5$ out of $10$ .

$\frac{5 \cdot 29}{5 \cdot 2}$

Cancel the common factor.

$\frac{5 \cdot 29}{5 \cdot 2}$

Rewrite the expression.

$\frac{29}{2}$

Step 4

Divide.

$14.5$