Finite Math Examples

$28000$ , $26000$ , $32000$ , $30000$ , $30000$ , $79000$ , $25000$ , $27000$ , $90000$ , $29000$

Step 1

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

$\frac{28000 + 26000 + 32000 + 30000 + 30000 + 79000 + 25000 + 27000 + 90000 + 29000}{10}$

Step 2

Cancel the common factor of $28000 + 26000 + 32000 + 30000 + 30000 + 79000 + 25000 + 27000 + 90000 + 29000$ and $10$ .

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Step 2.1

Factor $10$ out of $28000$ .

$\frac{10 \cdot 2800 + 26000 + 32000 + 30000 + 30000 + 79000 + 25000 + 27000 + 90000 + 29000}{10}$

Step 2.2

Factor $10$ out of $26000$ .

$\frac{10 \cdot 2800 + 10 \cdot 2600 + 32000 + 30000 + 30000 + 79000 + 25000 + 27000 + 90000 + 29000}{10}$

Step 2.3

Factor $10$ out of $10 \cdot 2800 + 10 \cdot 2600$ .

$\frac{10 \cdot (2800 + 2600) + 32000 + 30000 + 30000 + 79000 + 25000 + 27000 + 90000 + 29000}{10}$

Step 2.4

Factor $10$ out of $32000$ .

$\frac{10 \cdot (2800 + 2600) + 10 \cdot 3200 + 30000 + 30000 + 79000 + 25000 + 27000 + 90000 + 29000}{10}$

Step 2.5

Factor $10$ out of $10 \cdot (2800 + 2600) + 10 (3200)$ .

$\frac{10 \cdot (2800 + 2600 + 3200) + 30000 + 30000 + 79000 + 25000 + 27000 + 90000 + 29000}{10}$

Step 2.6

Factor $10$ out of $30000$ .

$\frac{10 \cdot (2800 + 2600 + 3200) + 10 \cdot 3000 + 30000 + 79000 + 25000 + 27000 + 90000 + 29000}{10}$

Step 2.7

Factor $10$ out of $10 \cdot (2800 + 2600 + 3200) + 10 (3000)$ .

$\frac{10 \cdot (2800 + 2600 + 3200 + 3000) + 30000 + 79000 + 25000 + 27000 + 90000 + 29000}{10}$

Step 2.8

Factor $10$ out of $30000$ .

$\frac{10 \cdot (2800 + 2600 + 3200 + 3000) + 10 \cdot 3000 + 79000 + 25000 + 27000 + 90000 + 29000}{10}$

Step 2.9

Factor $10$ out of $10 \cdot (2800 + 2600 + 3200 + 3000) + 10 (3000)$ .

$\frac{10 \cdot (2800 + 2600 + 3200 + 3000 + 3000) + 79000 + 25000 + 27000 + 90000 + 29000}{10}$

Step 2.10

Factor $10$ out of $79000$ .

$\frac{10 \cdot (2800 + 2600 + 3200 + 3000 + 3000) + 10 \cdot 7900 + 25000 + 27000 + 90000 + 29000}{10}$

Step 2.11

Factor $10$ out of $10 \cdot (2800 + 2600 + 3200 + 3000 + 3000) + 10 (7900)$ .

$\frac{10 \cdot (2800 + 2600 + 3200 + 3000 + 3000 + 7900) + 25000 + 27000 + 90000 + 29000}{10}$

Step 2.12

Factor $10$ out of $25000$ .

$\frac{10 \cdot (2800 + 2600 + 3200 + 3000 + 3000 + 7900) + 10 \cdot 2500 + 27000 + 90000 + 29000}{10}$

Step 2.13

Factor $10$ out of $10 \cdot (2800 + 2600 + 3200 + 3000 + 3000 + 7900) + 10 (2500)$ .

$\frac{10 \cdot (2800 + 2600 + 3200 + 3000 + 3000 + 7900 + 2500) + 27000 + 90000 + 29000}{10}$

Step 2.14

Factor $10$ out of $27000$ .

$\frac{10 \cdot (2800 + 2600 + 3200 + 3000 + 3000 + 7900 + 2500) + 10 \cdot 2700 + 90000 + 29000}{10}$

Step 2.15

Factor $10$ out of $10 \cdot (2800 + 2600 + 3200 + 3000 + 3000 + 7900 + 2500) + 10 (2700)$ .

$\frac{10 \cdot (2800 + 2600 + 3200 + 3000 + 3000 + 7900 + 2500 + 2700) + 90000 + 29000}{10}$

Step 2.16

Factor $10$ out of $90000$ .

$\frac{10 \cdot (2800 + 2600 + 3200 + 3000 + 3000 + 7900 + 2500 + 2700) + 10 \cdot 9000 + 29000}{10}$

Step 2.17

Factor $10$ out of $10 \cdot (2800 + 2600 + 3200 + 3000 + 3000 + 7900 + 2500 + 2700) + 10 (9000)$ .

$\frac{10 \cdot (2800 + 2600 + 3200 + 3000 + 3000 + 7900 + 2500 + 2700 + 9000) + 29000}{10}$

Step 2.18

Factor $10$ out of $29000$ .

$\frac{10 \cdot (2800 + 2600 + 3200 + 3000 + 3000 + 7900 + 2500 + 2700 + 9000) + 10 \cdot 2900}{10}$

Step 2.19

Factor $10$ out of $10 \cdot (2800 + 2600 + 3200 + 3000 + 3000 + 7900 + 2500 + 2700 + 9000) + 10 (2900)$ .

$\frac{10 \cdot (2800 + 2600 + 3200 + 3000 + 3000 + 7900 + 2500 + 2700 + 9000 + 2900)}{10}$

Step 2.20

Cancel the common factors.

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Step 2.20.1

Factor $10$ out of $10$ .

$\frac{10 \cdot (2800 + 2600 + 3200 + 3000 + 3000 + 7900 + 2500 + 2700 + 9000 + 2900)}{10 (1)}$

Step 2.20.2

Cancel the common factor.

$\frac{10 \cdot (2800 + 2600 + 3200 + 3000 + 3000 + 7900 + 2500 + 2700 + 9000 + 2900)}{10 \cdot 1}$

Step 2.20.3

Rewrite the expression.

$\frac{2800 + 2600 + 3200 + 3000 + 3000 + 7900 + 2500 + 2700 + 9000 + 2900}{1}$

Step 2.20.4

Divide $2800 + 2600 + 3200 + 3000 + 3000 + 7900 + 2500 + 2700 + 9000 + 2900$ by $1$ .

$2800 + 2600 + 3200 + 3000 + 3000 + 7900 + 2500 + 2700 + 9000 + 2900$

Step 3

Simplify by adding numbers.

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Step 3.1

Add $2800$ and $2600$ .

$5400 + 3200 + 3000 + 3000 + 7900 + 2500 + 2700 + 9000 + 2900$

Step 3.2

Add $5400$ and $3200$ .

$8600 + 3000 + 3000 + 7900 + 2500 + 2700 + 9000 + 2900$

Step 3.3

Add $8600$ and $3000$ .

$11600 + 3000 + 7900 + 2500 + 2700 + 9000 + 2900$

Step 3.4

Add $11600$ and $3000$ .

$14600 + 7900 + 2500 + 2700 + 9000 + 2900$

Step 3.5

Add $14600$ and $7900$ .

$22500 + 2500 + 2700 + 9000 + 2900$

Step 3.6

Add $22500$ and $2500$ .

$25000 + 2700 + 9000 + 2900$

Step 3.7

Add $25000$ and $2700$ .

$27700 + 9000 + 2900$

Step 3.8

Add $27700$ and $9000$ .

$36700 + 2900$

Step 3.9

Add $36700$ and $2900$ .

$39600$