Finite Math Examples

$62$ , $62$ , $62$ , $62$ , $63$ , $64$ , $68$

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 $68$ and minimum $62$ into the equation.

$Mid-Range = \frac{68 + 62}{2}$

Step 3

Cancel the common factor of $68 + 62$ and $2$ .

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Step 3.1

Factor $2$ out of $68$ .

$Mid-Range = \frac{2 \cdot 34 + 62}{2}$

Step 3.2

Factor $2$ out of $62$ .

$Mid-Range = \frac{2 \cdot 34 + 2 \cdot 31}{2}$

Step 3.3

Factor $2$ out of $2 \cdot 34 + 2 \cdot 31$ .

$Mid-Range = \frac{2 \cdot (34 + 31)}{2}$

Step 3.4

Cancel the common factors.

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Step 3.4.1

Factor $2$ out of $2$ .

$Mid-Range = \frac{2 \cdot (34 + 31)}{2 (1)}$

Step 3.4.2

Cancel the common factor.

$Mid-Range = \frac{2 \cdot (34 + 31)}{2 \cdot 1}$

Step 3.4.3

Rewrite the expression.

$Mid-Range = \frac{34 + 31}{1}$

Step 3.4.4

Divide $34 + 31$ by $1$ .

$Mid-Range = 34 + 31$

Step 4

Add $34$ and $31$ .

$Mid-Range = 65$

Step 5

Convert $65$ to decimal.

$Mid-Range = 65$