Find the Median 9 , 15 , 17 , 18 , 6 , 20 , 8 , 5 , 18 , 18 , 10 , 5 , 14 , 12 , 10 , 7

$9$ , $15$ , $17$ , $18$ , $6$ , $20$ , $8$ , $5$ , $18$ , $18$ , $10$ , $5$ , $14$ , $12$ , $10$ , $7$

Step 1

Arrange the terms in ascending order.

$5, 5, 6, 7, 8, 9, 10, 10, 12, 14, 15, 17, 18, 18, 18, 20$

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.

$\frac{10 + 12}{2}$

Step 3

Remove parentheses.

$\frac{10 + 12}{2}$

Step 4

Cancel the common factor of $10 + 12$ and $2$ .

Factor $2$ out of $10$ .

$\frac{2 \cdot 5 + 12}{2}$

Factor $2$ out of $12$ .

$\frac{2 \cdot 5 + 2 \cdot 6}{2}$

Factor $2$ out of $2 \cdot 5 + 2 \cdot 6$ .

$\frac{2 \cdot (5 + 6)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 \cdot (5 + 6)}{2 (1)}$

Cancel the common factor.

$\frac{2 \cdot (5 + 6)}{2 \cdot 1}$

Rewrite the expression.

$\frac{5 + 6}{1}$

Divide $5 + 6$ by $1$ .

$5 + 6$

Step 5

Add $5$ and $6$ .

$11$

Step 6

Convert the median $11$ to decimal.

$11$