Find the Mean 135 , 71 , 69 , 80 , 158 , 152 , 161 , 96 , 122 , 118 , 87 , 85

$135$ , $71$ , $69$ , $80$ , $158$ , $152$ , $161$ , $96$ , $122$ , $118$ , $87$ , $85$

Step 1

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

$\frac{135 + 71 + 69 + 80 + 158 + 152 + 161 + 96 + 122 + 118 + 87 + 85}{12}$

Step 2

Simplify the numerator.

Add $135$ and $71$ .

$\frac{206 + 69 + 80 + 158 + 152 + 161 + 96 + 122 + 118 + 87 + 85}{12}$

Add $206$ and $69$ .

$\frac{275 + 80 + 158 + 152 + 161 + 96 + 122 + 118 + 87 + 85}{12}$

Add $275$ and $80$ .

$\frac{355 + 158 + 152 + 161 + 96 + 122 + 118 + 87 + 85}{12}$

Add $355$ and $158$ .

$\frac{513 + 152 + 161 + 96 + 122 + 118 + 87 + 85}{12}$

Add $513$ and $152$ .

$\frac{665 + 161 + 96 + 122 + 118 + 87 + 85}{12}$

Add $665$ and $161$ .

$\frac{826 + 96 + 122 + 118 + 87 + 85}{12}$

Add $826$ and $96$ .

$\frac{922 + 122 + 118 + 87 + 85}{12}$

Add $922$ and $122$ .

$\frac{1044 + 118 + 87 + 85}{12}$

Add $1044$ and $118$ .

$\frac{1162 + 87 + 85}{12}$

Add $1162$ and $87$ .

$\frac{1249 + 85}{12}$

Add $1249$ and $85$ .

$\frac{1334}{12}$

Step 3

Cancel the common factor of $1334$ and $12$ .

Factor $2$ out of $1334$ .

$\frac{2 (667)}{12}$

Cancel the common factors.

Factor $2$ out of $12$ .

$\frac{2 \cdot 667}{2 \cdot 6}$

Cancel the common factor.

$\frac{2 \cdot 667}{2 \cdot 6}$

Rewrite the expression.

$\frac{667}{6}$

Step 4

Divide.

$111.1\overline{6}$

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.

$111.2$

Find the Mean 135 , 71 , 69 , 80 , 158 , 152 , 161 , 96 , 122 , 118 , 87 , 85

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