Find the Median 8 , 1 , 2 , 6 , 1 , 4

$8$ , $1$ , $2$ , $6$ , $1$ , $4$

Arrange the terms in ascending order.

$1, 1, 2, 4, 6, 8$

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.

$\frac{2 + 4}{2}$

Remove parentheses.

$\frac{2 + 4}{2}$

Cancel the common factor of $2 + 4$ and $2$ .

Factor $2$ out of $2$ .

$\frac{2 \cdot 1 + 4}{2}$

Factor $2$ out of $4$ .

$\frac{2 \cdot 1 + 2 \cdot 2}{2}$

Factor $2$ out of $2 \cdot 1 + 2 \cdot 2$ .

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{1 + 2}{1}$

Divide $1 + 2$ by $1$ .

$1 + 2$

Add $1$ and $2$ .

$3$

Convert the median $3$ to decimal.

$3$