Find the Mid-Range (Mid-Extreme) 4 , 6 , 8 , 10 , 12 , 14 , 16 , 18

$4$ , $6$ , $8$ , $10$ , $12$ , $14$ , $16$ , $18$

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

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

Substitute the values of maximum $18$ and minimum $4$ into the equation.

$Mid-Range = \frac{18 + 4}{2}$

Cancel the common factor of $18 + 4$ and $2$ .

Factor $2$ out of $18$ .

$Mid-Range = \frac{2 \cdot 9 + 4}{2}$

Factor $2$ out of $4$ .

$Mid-Range = \frac{2 \cdot 9 + 2 \cdot 2}{2}$

Factor $2$ out of $2 \cdot 9 + 2 \cdot 2$ .

$Mid-Range = \frac{2 \cdot (9 + 2)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$Mid-Range = \frac{2 \cdot (9 + 2)}{2 (1)}$

Cancel the common factor.

$Mid-Range = \frac{2 \cdot (9 + 2)}{2 \cdot 1}$

Rewrite the expression.

$Mid-Range = \frac{9 + 2}{1}$

Divide $9 + 2$ by $1$ .

$Mid-Range = 9 + 2$

Add $9$ and $2$ .

$Mid-Range = 11$

Convert $11$ to decimal.

$Mid-Range = 11$