Finite Math Examples

$8$ , $9$ , $10$ , $11$ , $12$

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 $12$ and minimum $8$ into the equation.

$Mid-Range = \frac{12 + 8}{2}$

Step 3

Cancel the common factor of $12 + 8$ and $2$ .

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Step 3.1

Factor $2$ out of $12$ .

$Mid-Range = \frac{2 \cdot 6 + 8}{2}$

Step 3.2

Factor $2$ out of $8$ .

$Mid-Range = \frac{2 \cdot 6 + 2 \cdot 4}{2}$

Step 3.3

Factor $2$ out of $2 \cdot 6 + 2 \cdot 4$ .

$Mid-Range = \frac{2 \cdot (6 + 4)}{2}$

Step 3.4

Cancel the common factors.

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Step 3.4.1

Factor $2$ out of $2$ .

$Mid-Range = \frac{2 \cdot (6 + 4)}{2 (1)}$

Step 3.4.2

Cancel the common factor.

$Mid-Range = \frac{2 \cdot (6 + 4)}{2 \cdot 1}$

Step 3.4.3

Rewrite the expression.

$Mid-Range = \frac{6 + 4}{1}$

Step 3.4.4

Divide $6 + 4$ by $1$ .

$Mid-Range = 6 + 4$

Step 4

Add $6$ and $4$ .

$Mid-Range = 10$

Step 5

Convert $10$ to decimal.

$Mid-Range = 10$