Finite Math Examples

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

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 $90000$ and minimum $25000$ into the equation.

$Mid-Range = \frac{90000 + 25000}{2}$

Step 3

Cancel the common factor of $90000 + 25000$ and $2$ .

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Step 3.1

Factor $2$ out of $90000$ .

$Mid-Range = \frac{2 \cdot 45000 + 25000}{2}$

Step 3.2

Factor $2$ out of $25000$ .

$Mid-Range = \frac{2 \cdot 45000 + 2 \cdot 12500}{2}$

Step 3.3

Factor $2$ out of $2 \cdot 45000 + 2 \cdot 12500$ .

$Mid-Range = \frac{2 \cdot (45000 + 12500)}{2}$

Step 3.4

Cancel the common factors.

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Step 3.4.1

Factor $2$ out of $2$ .

$Mid-Range = \frac{2 \cdot (45000 + 12500)}{2 (1)}$

Step 3.4.2

Cancel the common factor.

$Mid-Range = \frac{2 \cdot (45000 + 12500)}{2 \cdot 1}$

Step 3.4.3

Rewrite the expression.

$Mid-Range = \frac{45000 + 12500}{1}$

Step 3.4.4

Divide $45000 + 12500$ by $1$ .

$Mid-Range = 45000 + 12500$

Step 4

Add $45000$ and $12500$ .

$Mid-Range = 57500$

Step 5

Convert $57500$ to decimal.

$Mid-Range = 57500$