Finite Math Examples

$19$ , $15$ , $19$ , $14$ , $16$ , $16$ , $16$ , $10$ , $12$ , $23$

Step 1

Arrange the terms in ascending order.

$10, 12, 14, 15, 16, 16, 16, 19, 19, 23$

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.

$\frac{16 + 16}{2}$

Step 3

Remove parentheses.

$\frac{16 + 16}{2}$

Step 4

Cancel the common factor of $16 + 16$ and $2$ .

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Step 4.1

Factor $2$ out of $16$ .

$\frac{2 \cdot 8 + 16}{2}$

Step 4.2

Factor $2$ out of $16$ .

$\frac{2 \cdot 8 + 2 \cdot 8}{2}$

Step 4.3

Factor $2$ out of $2 \cdot 8 + 2 \cdot 8$ .

$\frac{2 \cdot (8 + 8)}{2}$

Step 4.4

Cancel the common factors.

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Step 4.4.1

Factor $2$ out of $2$ .

$\frac{2 \cdot (8 + 8)}{2 (1)}$

Step 4.4.2

Cancel the common factor.

$\frac{2 \cdot (8 + 8)}{2 \cdot 1}$

Step 4.4.3

Rewrite the expression.

$\frac{8 + 8}{1}$

Step 4.4.4

Divide $8 + 8$ by $1$ .

$8 + 8$

Step 5

Add $8$ and $8$ .

$16$

Step 6

Convert the median $16$ to decimal.

$16$