Algebra Examples

$138$ , $142$ , $105$ , $112$ , $108$ , $134$ , $106$ , $181$ , $164$ , $105$

Step 1

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

$\frac{138 + 142 + 105 + 112 + 108 + 134 + 106 + 181 + 164 + 105}{10}$

Step 2

Simplify the numerator.

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Step 2.1

Add $138$ and $142$ .

$\frac{280 + 105 + 112 + 108 + 134 + 106 + 181 + 164 + 105}{10}$

Step 2.2

Add $280$ and $105$ .

$\frac{385 + 112 + 108 + 134 + 106 + 181 + 164 + 105}{10}$

Step 2.3

Add $385$ and $112$ .

$\frac{497 + 108 + 134 + 106 + 181 + 164 + 105}{10}$

Step 2.4

Add $497$ and $108$ .

$\frac{605 + 134 + 106 + 181 + 164 + 105}{10}$

Step 2.5

Add $605$ and $134$ .

$\frac{739 + 106 + 181 + 164 + 105}{10}$

Step 2.6

Add $739$ and $106$ .

$\frac{845 + 181 + 164 + 105}{10}$

Step 2.7

Add $845$ and $181$ .

$\frac{1026 + 164 + 105}{10}$

Step 2.8

Add $1026$ and $164$ .

$\frac{1190 + 105}{10}$

Step 2.9

Add $1190$ and $105$ .

$\frac{1295}{10}$

Step 3

Cancel the common factor of $1295$ and $10$ .

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Step 3.1

Factor $5$ out of $1295$ .

$\frac{5 (259)}{10}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $5$ out of $10$ .

$\frac{5 \cdot 259}{5 \cdot 2}$

Step 3.2.2

Cancel the common factor.

$\frac{5 \cdot 259}{5 \cdot 2}$

Step 3.2.3

Rewrite the expression.

$\frac{259}{2}$

Step 4

Divide.

$129.5$