Find the Median 20 , 30 , 40 , 40 , 50 , 50 , 50 , 50 , 60 , 60 , 70 , 80

$20$ , $30$ , $40$ , $40$ , $50$ , $50$ , $50$ , $50$ , $60$ , $60$ , $70$ , $80$

Step 1

Arrange the terms in ascending order.

$20, 30, 40, 40, 50, 50, 50, 50, 60, 60, 70, 80$

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.

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

Step 3

Remove parentheses.

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

Step 4

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

Factor $2$ out of $50$ .

$\frac{2 \cdot 25 + 50}{2}$

Factor $2$ out of $50$ .

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

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

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $25 + 25$ by $1$ .

$25 + 25$

Step 5

Add $25$ and $25$ .

$50$

Step 6

Convert the median $50$ to decimal.

$50$