Finite Math Examples

$1510$ , $1760$ , $1650$ , $1010$ , $1470$ , $1560$ , $1890$ , $1380$ , $4000$ , $6500$

Step 1

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

$\frac{1510 + 1760 + 1650 + 1010 + 1470 + 1560 + 1890 + 1380 + 4000 + 6500}{10}$

Step 2

Cancel the common factor of $1510 + 1760 + 1650 + 1010 + 1470 + 1560 + 1890 + 1380 + 4000 + 6500$ and $10$ .

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Step 2.1

Factor $10$ out of $1510$ .

$\frac{10 \cdot 151 + 1760 + 1650 + 1010 + 1470 + 1560 + 1890 + 1380 + 4000 + 6500}{10}$

Step 2.2

Factor $10$ out of $1760$ .

$\frac{10 \cdot 151 + 10 \cdot 176 + 1650 + 1010 + 1470 + 1560 + 1890 + 1380 + 4000 + 6500}{10}$

Step 2.3

Factor $10$ out of $10 \cdot 151 + 10 \cdot 176$ .

$\frac{10 \cdot (151 + 176) + 1650 + 1010 + 1470 + 1560 + 1890 + 1380 + 4000 + 6500}{10}$

Step 2.4

Factor $10$ out of $1650$ .

$\frac{10 \cdot (151 + 176) + 10 \cdot 165 + 1010 + 1470 + 1560 + 1890 + 1380 + 4000 + 6500}{10}$

Step 2.5

Factor $10$ out of $10 \cdot (151 + 176) + 10 (165)$ .

$\frac{10 \cdot (151 + 176 + 165) + 1010 + 1470 + 1560 + 1890 + 1380 + 4000 + 6500}{10}$

Step 2.6

Factor $10$ out of $1010$ .

$\frac{10 \cdot (151 + 176 + 165) + 10 \cdot 101 + 1470 + 1560 + 1890 + 1380 + 4000 + 6500}{10}$

Step 2.7

Factor $10$ out of $10 \cdot (151 + 176 + 165) + 10 (101)$ .

$\frac{10 \cdot (151 + 176 + 165 + 101) + 1470 + 1560 + 1890 + 1380 + 4000 + 6500}{10}$

Step 2.8

Factor $10$ out of $1470$ .

$\frac{10 \cdot (151 + 176 + 165 + 101) + 10 \cdot 147 + 1560 + 1890 + 1380 + 4000 + 6500}{10}$

Step 2.9

Factor $10$ out of $10 \cdot (151 + 176 + 165 + 101) + 10 (147)$ .

$\frac{10 \cdot (151 + 176 + 165 + 101 + 147) + 1560 + 1890 + 1380 + 4000 + 6500}{10}$

Step 2.10

Factor $10$ out of $1560$ .

$\frac{10 \cdot (151 + 176 + 165 + 101 + 147) + 10 \cdot 156 + 1890 + 1380 + 4000 + 6500}{10}$

Step 2.11

Factor $10$ out of $10 \cdot (151 + 176 + 165 + 101 + 147) + 10 (156)$ .

$\frac{10 \cdot (151 + 176 + 165 + 101 + 147 + 156) + 1890 + 1380 + 4000 + 6500}{10}$

Step 2.12

Factor $10$ out of $1890$ .

$\frac{10 \cdot (151 + 176 + 165 + 101 + 147 + 156) + 10 \cdot 189 + 1380 + 4000 + 6500}{10}$

Step 2.13

Factor $10$ out of $10 \cdot (151 + 176 + 165 + 101 + 147 + 156) + 10 (189)$ .

$\frac{10 \cdot (151 + 176 + 165 + 101 + 147 + 156 + 189) + 1380 + 4000 + 6500}{10}$

Step 2.14

Factor $10$ out of $1380$ .

$\frac{10 \cdot (151 + 176 + 165 + 101 + 147 + 156 + 189) + 10 \cdot 138 + 4000 + 6500}{10}$

Step 2.15

Factor $10$ out of $10 \cdot (151 + 176 + 165 + 101 + 147 + 156 + 189) + 10 (138)$ .

$\frac{10 \cdot (151 + 176 + 165 + 101 + 147 + 156 + 189 + 138) + 4000 + 6500}{10}$

Step 2.16

Factor $10$ out of $4000$ .

$\frac{10 \cdot (151 + 176 + 165 + 101 + 147 + 156 + 189 + 138) + 10 \cdot 400 + 6500}{10}$

Step 2.17

Factor $10$ out of $10 \cdot (151 + 176 + 165 + 101 + 147 + 156 + 189 + 138) + 10 (400)$ .

$\frac{10 \cdot (151 + 176 + 165 + 101 + 147 + 156 + 189 + 138 + 400) + 6500}{10}$

Step 2.18

Factor $10$ out of $6500$ .

$\frac{10 \cdot (151 + 176 + 165 + 101 + 147 + 156 + 189 + 138 + 400) + 10 \cdot 650}{10}$

Step 2.19

Factor $10$ out of $10 \cdot (151 + 176 + 165 + 101 + 147 + 156 + 189 + 138 + 400) + 10 (650)$ .

$\frac{10 \cdot (151 + 176 + 165 + 101 + 147 + 156 + 189 + 138 + 400 + 650)}{10}$

Step 2.20

Cancel the common factors.

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Step 2.20.1

Factor $10$ out of $10$ .

$\frac{10 \cdot (151 + 176 + 165 + 101 + 147 + 156 + 189 + 138 + 400 + 650)}{10 (1)}$

Step 2.20.2

Cancel the common factor.

$\frac{10 \cdot (151 + 176 + 165 + 101 + 147 + 156 + 189 + 138 + 400 + 650)}{10 \cdot 1}$

Step 2.20.3

Rewrite the expression.

$\frac{151 + 176 + 165 + 101 + 147 + 156 + 189 + 138 + 400 + 650}{1}$

Step 2.20.4

Divide $151 + 176 + 165 + 101 + 147 + 156 + 189 + 138 + 400 + 650$ by $1$ .

$151 + 176 + 165 + 101 + 147 + 156 + 189 + 138 + 400 + 650$

Step 3

Simplify by adding numbers.

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Step 3.1

Add $151$ and $176$ .

$327 + 165 + 101 + 147 + 156 + 189 + 138 + 400 + 650$

Step 3.2

Add $327$ and $165$ .

$492 + 101 + 147 + 156 + 189 + 138 + 400 + 650$

Step 3.3

Add $492$ and $101$ .

$593 + 147 + 156 + 189 + 138 + 400 + 650$

Step 3.4

Add $593$ and $147$ .

$740 + 156 + 189 + 138 + 400 + 650$

Step 3.5

Add $740$ and $156$ .

$896 + 189 + 138 + 400 + 650$

Step 3.6

Add $896$ and $189$ .

$1085 + 138 + 400 + 650$

Step 3.7

Add $1085$ and $138$ .

$1223 + 400 + 650$

Step 3.8

Add $1223$ and $400$ .

$1623 + 650$

Step 3.9

Add $1623$ and $650$ .

$2273$