Algebra Examples

$25$ , $25$ , $25$ , $26$ , $26$ , $26$ , $27$ , $28$ , $28$ , $29$ , $30$ , $31$ , $31$ , $32$ , $33$ , $33$ , $34$ , $35$ , $35$ , $35$

Step 1

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

$\frac{25 + 25 + 25 + 26 + 26 + 26 + 27 + 28 + 28 + 29 + 30 + 31 + 31 + 32 + 33 + 33 + 34 + 35 + 35 + 35}{20}$

Step 2

Simplify the numerator.

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Step 2.1

Add $25$ and $25$ .

$\frac{50 + 25 + 26 + 26 + 26 + 27 + 28 + 28 + 29 + 30 + 31 + 31 + 32 + 33 + 33 + 34 + 35 + 35 + 35}{20}$

Step 2.2

Add $50$ and $25$ .

$\frac{75 + 26 + 26 + 26 + 27 + 28 + 28 + 29 + 30 + 31 + 31 + 32 + 33 + 33 + 34 + 35 + 35 + 35}{20}$

Step 2.3

Add $75$ and $26$ .

$\frac{101 + 26 + 26 + 27 + 28 + 28 + 29 + 30 + 31 + 31 + 32 + 33 + 33 + 34 + 35 + 35 + 35}{20}$

Step 2.4

Add $101$ and $26$ .

$\frac{127 + 26 + 27 + 28 + 28 + 29 + 30 + 31 + 31 + 32 + 33 + 33 + 34 + 35 + 35 + 35}{20}$

Step 2.5

Add $127$ and $26$ .

$\frac{153 + 27 + 28 + 28 + 29 + 30 + 31 + 31 + 32 + 33 + 33 + 34 + 35 + 35 + 35}{20}$

Step 2.6

Add $153$ and $27$ .

$\frac{180 + 28 + 28 + 29 + 30 + 31 + 31 + 32 + 33 + 33 + 34 + 35 + 35 + 35}{20}$

Step 2.7

Add $180$ and $28$ .

$\frac{208 + 28 + 29 + 30 + 31 + 31 + 32 + 33 + 33 + 34 + 35 + 35 + 35}{20}$

Step 2.8

Add $208$ and $28$ .

$\frac{236 + 29 + 30 + 31 + 31 + 32 + 33 + 33 + 34 + 35 + 35 + 35}{20}$

Step 2.9

Add $236$ and $29$ .

$\frac{265 + 30 + 31 + 31 + 32 + 33 + 33 + 34 + 35 + 35 + 35}{20}$

Step 2.10

Add $265$ and $30$ .

$\frac{295 + 31 + 31 + 32 + 33 + 33 + 34 + 35 + 35 + 35}{20}$

Step 2.11

Add $295$ and $31$ .

$\frac{326 + 31 + 32 + 33 + 33 + 34 + 35 + 35 + 35}{20}$

Step 2.12

Add $326$ and $31$ .

$\frac{357 + 32 + 33 + 33 + 34 + 35 + 35 + 35}{20}$

Step 2.13

Add $357$ and $32$ .

$\frac{389 + 33 + 33 + 34 + 35 + 35 + 35}{20}$

Step 2.14

Add $389$ and $33$ .

$\frac{422 + 33 + 34 + 35 + 35 + 35}{20}$

Step 2.15

Add $422$ and $33$ .

$\frac{455 + 34 + 35 + 35 + 35}{20}$

Step 2.16

Add $455$ and $34$ .

$\frac{489 + 35 + 35 + 35}{20}$

Step 2.17

Add $489$ and $35$ .

$\frac{524 + 35 + 35}{20}$

Step 2.18

Add $524$ and $35$ .

$\frac{559 + 35}{20}$

Step 2.19

Add $559$ and $35$ .

$\frac{594}{20}$

Step 3

Cancel the common factor of $594$ and $20$ .

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Step 3.1

Factor $2$ out of $594$ .

$\frac{2 (297)}{20}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $20$ .

$\frac{2 \cdot 297}{2 \cdot 10}$

Step 3.2.2

Cancel the common factor.

$\frac{2 \cdot 297}{2 \cdot 10}$

Step 3.2.3

Rewrite the expression.

$\frac{297}{10}$

Step 4

Divide.

$29.7$