Find the Median 481 , 727 , 678 , 312 , 602 , 828 , 828 , 692 , 482 , 695

$481$ , $727$ , $678$ , $312$ , $602$ , $828$ , $828$ , $692$ , $482$ , $695$

Step 1

Arrange the terms in ascending order.

$312, 481, 482, 602, 678, 692, 695, 727, 828, 828$

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.

$\frac{678 + 692}{2}$

Step 3

Remove parentheses.

$\frac{678 + 692}{2}$

Step 4

Cancel the common factor of $678 + 692$ and $2$ .

Factor $2$ out of $678$ .

$\frac{2 \cdot 339 + 692}{2}$

Factor $2$ out of $692$ .

$\frac{2 \cdot 339 + 2 \cdot 346}{2}$

Factor $2$ out of $2 \cdot 339 + 2 \cdot 346$ .

$\frac{2 \cdot (339 + 346)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 \cdot (339 + 346)}{2 (1)}$

Cancel the common factor.

$\frac{2 \cdot (339 + 346)}{2 \cdot 1}$

Rewrite the expression.

$\frac{339 + 346}{1}$

Divide $339 + 346$ by $1$ .

$339 + 346$

Step 5

Add $339$ and $346$ .

$685$

Step 6

Convert the median $685$ to decimal.

$685$