Find the Median 42 , 32 , 30 , 32 , 44 , 36 , 45 , 43

$42$ , $32$ , $30$ , $32$ , $44$ , $36$ , $45$ , $43$

Arrange the terms in ascending order.

$30, 32, 32, 36, 42, 43, 44, 45$

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.

$\frac{36 + 42}{2}$

Remove parentheses.

$\frac{36 + 42}{2}$

Cancel the common factor of $36 + 42$ and $2$ .

Factor $2$ out of $36$ .

$\frac{2 \cdot 18 + 42}{2}$

Factor $2$ out of $42$ .

$\frac{2 \cdot 18 + 2 \cdot 21}{2}$

Factor $2$ out of $2 \cdot 18 + 2 \cdot 21$ .

$\frac{2 \cdot (18 + 21)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 \cdot (18 + 21)}{2 (1)}$

Cancel the common factor.

$\frac{2 \cdot (18 + 21)}{2 \cdot 1}$

Rewrite the expression.

$\frac{18 + 21}{1}$

Divide $18 + 21$ by $1$ .

$18 + 21$

Add $18$ and $21$ .

$39$

Convert the median $39$ to decimal.

$39$