Find the Median 80 , 70 , 75 , 80 , 93 , 80 , 86 , 89

$80$ , $70$ , $75$ , $80$ , $93$ , $80$ , $86$ , $89$

Step 1

Arrange the terms in ascending order.

$70, 75, 80, 80, 80, 86, 89, 93$

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.

$\frac{80 + 80}{2}$

Step 3

Remove parentheses.

$\frac{80 + 80}{2}$

Step 4

Cancel the common factor of $80 + 80$ and $2$ .

Factor $2$ out of $80$ .

$\frac{2 \cdot 40 + 80}{2}$

Factor $2$ out of $80$ .

$\frac{2 \cdot 40 + 2 \cdot 40}{2}$

Factor $2$ out of $2 \cdot 40 + 2 \cdot 40$ .

$\frac{2 \cdot (40 + 40)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 \cdot (40 + 40)}{2 (1)}$

Cancel the common factor.

$\frac{2 \cdot (40 + 40)}{2 \cdot 1}$

Rewrite the expression.

$\frac{40 + 40}{1}$

Divide $40 + 40$ by $1$ .

$40 + 40$

Step 5

Add $40$ and $40$ .

$80$

Step 6

Convert the median $80$ to decimal.

$80$