Statistics Examples

$0$ , $1$ , $2$ , $3$ , $4$ , $5$ , $6$ , $7$ , $8$

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 $8$ and minimum $0$ into the equation.

$Mid-Range = \frac{8 + 0}{2}$

Step 3

Cancel the common factor of $8 + 0$ and $2$ .

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Step 3.1

Factor $2$ out of $8$ .

$Mid-Range = \frac{2 \cdot 4 + 0}{2}$

Step 3.2

Factor $2$ out of $0$ .

$Mid-Range = \frac{2 \cdot 4 + 2 \cdot 0}{2}$

Step 3.3

Factor $2$ out of $2 \cdot 4 + 2 \cdot 0$ .

$Mid-Range = \frac{2 \cdot (4 + 0)}{2}$

Step 3.4

Cancel the common factors.

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Step 3.4.1

Factor $2$ out of $2$ .

$Mid-Range = \frac{2 \cdot (4 + 0)}{2 (1)}$

Step 3.4.2

Cancel the common factor.

$Mid-Range = \frac{2 \cdot (4 + 0)}{2 \cdot 1}$

Step 3.4.3

Rewrite the expression.

$Mid-Range = \frac{4 + 0}{1}$

Step 3.4.4

Divide $4 + 0$ by $1$ .

$Mid-Range = 4 + 0$

Step 4

Add $4$ and $0$ .

$Mid-Range = 4$

Step 5

Convert $4$ to decimal.

$Mid-Range = 4$

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