Finite Math Examples

$12$ , $12$ , $13$ , $14$ , $16$ , $16$ , $16$ , $17$ , $28$

Step 1

The mid-range or mid-extreme of a set of statistical data values is the average of the maximum and minimum values.

$Mid-Range = \frac{Maximum + Minimum}{2}$

Step 2

Substitute the values of maximum $28$ and minimum $12$ into the equation.

$Mid-Range = \frac{28 + 12}{2}$

Step 3

Cancel the common factor of $28 + 12$ and $2$ .

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Step 3.1

Factor $2$ out of $28$ .

$Mid-Range = \frac{2 \cdot 14 + 12}{2}$

Step 3.2

Factor $2$ out of $12$ .

$Mid-Range = \frac{2 \cdot 14 + 2 \cdot 6}{2}$

Step 3.3

Factor $2$ out of $2 \cdot 14 + 2 \cdot 6$ .

$Mid-Range = \frac{2 \cdot (14 + 6)}{2}$

Step 3.4

Cancel the common factors.

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Step 3.4.1

Factor $2$ out of $2$ .

$Mid-Range = \frac{2 \cdot (14 + 6)}{2 (1)}$

Step 3.4.2

Cancel the common factor.

$Mid-Range = \frac{2 \cdot (14 + 6)}{2 \cdot 1}$

Step 3.4.3

Rewrite the expression.

$Mid-Range = \frac{14 + 6}{1}$

Step 3.4.4

Divide $14 + 6$ by $1$ .

$Mid-Range = 14 + 6$

Step 4

Add $14$ and $6$ .

$Mid-Range = 20$

Step 5

Convert $20$ to decimal.

$Mid-Range = 20$