Finite Math Examples

$10$ , $26$ , $30$ , $40$ , $50$ , $50$ , $56$ , $74$

Step 1

Arrange the terms in ascending order.

$10, 26, 30, 40, 50, 50, 56, 74$

Step 2

The median is the middle term in the arranged data set. In the case of an even number of terms, the median is the average of the two middle terms.

$\frac{40 + 50}{2}$

Step 3

Remove parentheses.

$\frac{40 + 50}{2}$

Step 4

Cancel the common factor of $40 + 50$ and $2$ .

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Step 4.1

Factor $2$ out of $40$ .

$\frac{2 \cdot 20 + 50}{2}$

Step 4.2

Factor $2$ out of $50$ .

$\frac{2 \cdot 20 + 2 \cdot 25}{2}$

Step 4.3

Factor $2$ out of $2 \cdot 20 + 2 \cdot 25$ .

$\frac{2 \cdot (20 + 25)}{2}$

Step 4.4

Cancel the common factors.

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Step 4.4.1

Factor $2$ out of $2$ .

$\frac{2 \cdot (20 + 25)}{2 (1)}$

Step 4.4.2

Cancel the common factor.

$\frac{2 \cdot (20 + 25)}{2 \cdot 1}$

Step 4.4.3

Rewrite the expression.

$\frac{20 + 25}{1}$

Step 4.4.4

Divide $20 + 25$ by $1$ .

$20 + 25$

Step 5

Add $20$ and $25$ .

$45$

Step 6

Convert the median $45$ to decimal.

$45$