Find the Mean (Arithmetic) 133.75 , 73.25 , 122 , 99.5 , 86 , 113 , 125.75 , 109.75 , 149 , 157 , 105

$133.75$ , $73.25$ , $122$ , $99.5$ , $86$ , $113$ , $125.75$ , $109.75$ , $149$ , $157$ , $105$

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

$\frac{133.75 + 73.25 + 122 + 99.5 + 86 + 113 + 125.75 + 109.75 + 149 + 157 + 105}{11}$

Simplify the numerator.

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Add $133.75$ and $73.25$ .

$\frac{207 + 122 + 99.5 + 86 + 113 + 125.75 + 109.75 + 149 + 157 + 105}{11}$

Add $207$ and $122$ .

$\frac{329 + 99.5 + 86 + 113 + 125.75 + 109.75 + 149 + 157 + 105}{11}$

Add $329$ and $99.5$ .

$\frac{428.5 + 86 + 113 + 125.75 + 109.75 + 149 + 157 + 105}{11}$

Add $428.5$ and $86$ .

$\frac{514.5 + 113 + 125.75 + 109.75 + 149 + 157 + 105}{11}$

Add $514.5$ and $113$ .

$\frac{627.5 + 125.75 + 109.75 + 149 + 157 + 105}{11}$

Add $627.5$ and $125.75$ .

$\frac{753.25 + 109.75 + 149 + 157 + 105}{11}$

Add $753.25$ and $109.75$ .

$\frac{863 + 149 + 157 + 105}{11}$

Add $863$ and $149$ .

$\frac{1012 + 157 + 105}{11}$

Add $1012$ and $157$ .

$\frac{1169 + 105}{11}$

Add $1169$ and $105$ .

$\frac{1274}{11}$

Cancel the common factor of $1274$ and $11$ .

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Rewrite $1274$ as $1 (1274)$ .

$\frac{1 (1274)}{11}$

Cancel the common factors.

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Rewrite $11$ as $1 (11)$ .

$\frac{1 \cdot 1274}{1 \cdot 11}$

Cancel the common factor.

$\frac{1 \cdot 1274}{1 \cdot 11}$

Rewrite the expression.

$\frac{1274}{11}$

Divide.

$115.\overline{81}$

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.

$115.8$

Find the Mean (Arithmetic) 133.75 , 73.25 , 122 , 99.5 , 86 , 113 , 125.75 , 109.75 , 149 , 157 , 105

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