Finite Math Examples

$70$ , $75$ , $80$ , $70$ , $80$

Step 1

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

$\frac{70 + 75 + 80 + 70 + 80}{5}$

Step 2

Cancel the common factor of $70 + 75 + 80 + 70 + 80$ and $5$ .

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Step 2.1

Factor $5$ out of $70$ .

$\frac{5 \cdot 14 + 75 + 80 + 70 + 80}{5}$

Step 2.2

Factor $5$ out of $75$ .

$\frac{5 \cdot 14 + 5 \cdot 15 + 80 + 70 + 80}{5}$

Step 2.3

Factor $5$ out of $5 \cdot 14 + 5 \cdot 15$ .

$\frac{5 \cdot (14 + 15) + 80 + 70 + 80}{5}$

Step 2.4

Factor $5$ out of $80$ .

$\frac{5 \cdot (14 + 15) + 5 \cdot 16 + 70 + 80}{5}$

Step 2.5

Factor $5$ out of $5 \cdot (14 + 15) + 5 (16)$ .

$\frac{5 \cdot (14 + 15 + 16) + 70 + 80}{5}$

Step 2.6

Factor $5$ out of $70$ .

$\frac{5 \cdot (14 + 15 + 16) + 5 \cdot 14 + 80}{5}$

Step 2.7

Factor $5$ out of $5 \cdot (14 + 15 + 16) + 5 (14)$ .

$\frac{5 \cdot (14 + 15 + 16 + 14) + 80}{5}$

Step 2.8

Factor $5$ out of $80$ .

$\frac{5 \cdot (14 + 15 + 16 + 14) + 5 \cdot 16}{5}$

Step 2.9

Factor $5$ out of $5 \cdot (14 + 15 + 16 + 14) + 5 (16)$ .

$\frac{5 \cdot (14 + 15 + 16 + 14 + 16)}{5}$

Step 2.10

Cancel the common factors.

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Step 2.10.1

Factor $5$ out of $5$ .

$\frac{5 \cdot (14 + 15 + 16 + 14 + 16)}{5 (1)}$

Step 2.10.2

Cancel the common factor.

$\frac{5 \cdot (14 + 15 + 16 + 14 + 16)}{5 \cdot 1}$

Step 2.10.3

Rewrite the expression.

$\frac{14 + 15 + 16 + 14 + 16}{1}$

Step 2.10.4

Divide $14 + 15 + 16 + 14 + 16$ by $1$ .

$14 + 15 + 16 + 14 + 16$

Step 3

Simplify by adding numbers.

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Step 3.1

Add $14$ and $15$ .

$29 + 16 + 14 + 16$

Step 3.2

Add $29$ and $16$ .

$45 + 14 + 16$

Step 3.3

Add $45$ and $14$ .

$59 + 16$

Step 3.4

Add $59$ and $16$ .

$75$