Find the Mean 83 , 85 , 82 , 93 , 83 , 84 , 95 , 87 , 86 , 94

$83$ , $85$ , $82$ , $93$ , $83$ , $84$ , $95$ , $87$ , $86$ , $94$

Step 1

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

$\frac{83 + 85 + 82 + 93 + 83 + 84 + 95 + 87 + 86 + 94}{10}$

Step 2

Simplify the numerator.

Add $83$ and $85$ .

$\frac{168 + 82 + 93 + 83 + 84 + 95 + 87 + 86 + 94}{10}$

Add $168$ and $82$ .

$\frac{250 + 93 + 83 + 84 + 95 + 87 + 86 + 94}{10}$

Add $250$ and $93$ .

$\frac{343 + 83 + 84 + 95 + 87 + 86 + 94}{10}$

Add $343$ and $83$ .

$\frac{426 + 84 + 95 + 87 + 86 + 94}{10}$

Add $426$ and $84$ .

$\frac{510 + 95 + 87 + 86 + 94}{10}$

Add $510$ and $95$ .

$\frac{605 + 87 + 86 + 94}{10}$

Add $605$ and $87$ .

$\frac{692 + 86 + 94}{10}$

Add $692$ and $86$ .

$\frac{778 + 94}{10}$

Add $778$ and $94$ .

$\frac{872}{10}$

Step 3

Cancel the common factor of $872$ and $10$ .

Factor $2$ out of $872$ .

$\frac{2 (436)}{10}$

Cancel the common factors.

Factor $2$ out of $10$ .

$\frac{2 \cdot 436}{2 \cdot 5}$

Cancel the common factor.

$\frac{2 \cdot 436}{2 \cdot 5}$

Rewrite the expression.

$\frac{436}{5}$

Step 4

Divide.

$87.2$