Find the Mean 30 , 30 , 30 , 30 , 30 , 32 , 32 , 32 , 31 , 65

$30$ , $30$ , $30$ , $30$ , $30$ , $32$ , $32$ , $32$ , $31$ , $65$

Step 1

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

$\frac{30 + 30 + 30 + 30 + 30 + 32 + 32 + 32 + 31 + 65}{10}$

Step 2

Simplify the numerator.

Add $30$ and $30$ .

$\frac{60 + 30 + 30 + 30 + 32 + 32 + 32 + 31 + 65}{10}$

Add $60$ and $30$ .

$\frac{90 + 30 + 30 + 32 + 32 + 32 + 31 + 65}{10}$

Add $90$ and $30$ .

$\frac{120 + 30 + 32 + 32 + 32 + 31 + 65}{10}$

Add $120$ and $30$ .

$\frac{150 + 32 + 32 + 32 + 31 + 65}{10}$

Add $150$ and $32$ .

$\frac{182 + 32 + 32 + 31 + 65}{10}$

Add $182$ and $32$ .

$\frac{214 + 32 + 31 + 65}{10}$

Add $214$ and $32$ .

$\frac{246 + 31 + 65}{10}$

Add $246$ and $31$ .

$\frac{277 + 65}{10}$

Add $277$ and $65$ .

$\frac{342}{10}$

Step 3

Cancel the common factor of $342$ and $10$ .

Factor $2$ out of $342$ .

$\frac{2 (171)}{10}$

Cancel the common factors.

Factor $2$ out of $10$ .

$\frac{2 \cdot 171}{2 \cdot 5}$

Cancel the common factor.

$\frac{2 \cdot 171}{2 \cdot 5}$

Rewrite the expression.

$\frac{171}{5}$

Step 4

Divide.

$34.2$