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

$481$ ,

$727$ ,

$678$ ,

$312$ ,

$602$ ,

$828$ ,

$692$ ,

$482$ ,

$695$

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.

$685$

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

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