Find the Median 42 , 20 , 12 , 15 , 18 , 15 , 29 , 33

$42$ , $20$ , $12$ , $15$ , $18$ , $15$ , $29$ , $33$

Arrange the terms in ascending order.

$12, 15, 15, 18, 20, 29, 33, 42$

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.

$\frac{18 + 20}{2}$

Remove parentheses.

$\frac{18 + 20}{2}$

Cancel the common factor of $18 + 20$ and $2$ .

Factor $2$ out of $18$ .

$\frac{2 \cdot 9 + 20}{2}$

Factor $2$ out of $20$ .

$\frac{2 \cdot 9 + 2 \cdot 10}{2}$

Factor $2$ out of $2 \cdot 9 + 2 \cdot 10$ .

$\frac{2 \cdot (9 + 10)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 \cdot (9 + 10)}{2 (1)}$

Cancel the common factor.

$\frac{2 \cdot (9 + 10)}{2 \cdot 1}$

Rewrite the expression.

$\frac{9 + 10}{1}$

Divide $9 + 10$ by $1$ .

$9 + 10$

Add $9$ and $10$ .

$19$

Convert the median $19$ to decimal.

$19$