Finite Math Examples

$210$ , $214$ , $220$ , $220$ , $232$ , $240$ , $244$ , $252$

Step 1

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

$\frac{210 + 214 + 220 + 220 + 232 + 240 + 244 + 252}{8}$

Step 2

Cancel the common factor of $210 + 214 + 220 + 220 + 232 + 240 + 244 + 252$ and $8$ .

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Step 2.1

Factor $2$ out of $210$ .

$\frac{2 (105) + 214 + 220 + 220 + 232 + 240 + 244 + 252}{8}$

Step 2.2

Factor $2$ out of $214$ .

$\frac{2 \cdot 105 + 2 \cdot 107 + 220 + 220 + 232 + 240 + 244 + 252}{8}$

Step 2.3

Factor $2$ out of $2 \cdot 105 + 2 \cdot 107$ .

$\frac{2 \cdot (105 + 107) + 220 + 220 + 232 + 240 + 244 + 252}{8}$

Step 2.4

Factor $2$ out of $220$ .

$\frac{2 \cdot (105 + 107) + 2 (110) + 220 + 232 + 240 + 244 + 252}{8}$

Step 2.5

Factor $2$ out of $2 \cdot (105 + 107) + 2 (110)$ .

$\frac{2 \cdot (105 + 107 + 110) + 220 + 232 + 240 + 244 + 252}{8}$

Step 2.6

Factor $2$ out of $220$ .

$\frac{2 \cdot (105 + 107 + 110) + 2 (110) + 232 + 240 + 244 + 252}{8}$

Step 2.7

Factor $2$ out of $2 \cdot (105 + 107 + 110) + 2 (110)$ .

$\frac{2 \cdot (105 + 107 + 110 + 110) + 232 + 240 + 244 + 252}{8}$

Step 2.8

Factor $2$ out of $232$ .

$\frac{2 \cdot (105 + 107 + 110 + 110) + 2 (116) + 240 + 244 + 252}{8}$

Step 2.9

Factor $2$ out of $2 \cdot (105 + 107 + 110 + 110) + 2 (116)$ .

$\frac{2 \cdot (105 + 107 + 110 + 110 + 116) + 240 + 244 + 252}{8}$

Step 2.10

Factor $2$ out of $240$ .

$\frac{2 \cdot (105 + 107 + 110 + 110 + 116) + 2 (120) + 244 + 252}{8}$

Step 2.11

Factor $2$ out of $2 \cdot (105 + 107 + 110 + 110 + 116) + 2 (120)$ .

$\frac{2 \cdot (105 + 107 + 110 + 110 + 116 + 120) + 244 + 252}{8}$

Step 2.12

Factor $2$ out of $244$ .

$\frac{2 \cdot (105 + 107 + 110 + 110 + 116 + 120) + 2 (122) + 252}{8}$

Step 2.13

Factor $2$ out of $2 \cdot (105 + 107 + 110 + 110 + 116 + 120) + 2 (122)$ .

$\frac{2 \cdot (105 + 107 + 110 + 110 + 116 + 120 + 122) + 252}{8}$

Step 2.14

Factor $2$ out of $252$ .

$\frac{2 \cdot (105 + 107 + 110 + 110 + 116 + 120 + 122) + 2 (126)}{8}$

Step 2.15

Factor $2$ out of $2 \cdot (105 + 107 + 110 + 110 + 116 + 120 + 122) + 2 (126)$ .

$\frac{2 \cdot (105 + 107 + 110 + 110 + 116 + 120 + 122 + 126)}{8}$

Step 2.16

Cancel the common factors.

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Step 2.16.1

Factor $2$ out of $8$ .

$\frac{2 \cdot (105 + 107 + 110 + 110 + 116 + 120 + 122 + 126)}{2 (4)}$

Step 2.16.2

Cancel the common factor.

$\frac{2 \cdot (105 + 107 + 110 + 110 + 116 + 120 + 122 + 126)}{2 \cdot 4}$

Step 2.16.3

Rewrite the expression.

$\frac{105 + 107 + 110 + 110 + 116 + 120 + 122 + 126}{4}$

Step 3

Simplify the numerator.

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Step 3.1

Add $105$ and $107$ .

$\frac{212 + 110 + 110 + 116 + 120 + 122 + 126}{4}$

Step 3.2

Add $212$ and $110$ .

$\frac{322 + 110 + 116 + 120 + 122 + 126}{4}$

Step 3.3

Add $322$ and $110$ .

$\frac{432 + 116 + 120 + 122 + 126}{4}$

Step 3.4

Add $432$ and $116$ .

$\frac{548 + 120 + 122 + 126}{4}$

Step 3.5

Add $548$ and $120$ .

$\frac{668 + 122 + 126}{4}$

Step 3.6

Add $668$ and $122$ .

$\frac{790 + 126}{4}$

Step 3.7

Add $790$ and $126$ .

$\frac{916}{4}$

Step 4

Divide $916$ by $4$ .

$229$