Find the Median 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24

$10$ , $12$ , $14$ , $16$ , $18$ , $20$ , $22$ , $24$

Step 1

Arrange the terms in ascending order.

$10, 12, 14, 16, 18, 20, 22, 24$

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.

$\frac{16 + 18}{2}$

Step 3

Remove parentheses.

$\frac{16 + 18}{2}$

Step 4

Cancel the common factor of $16 + 18$ and $2$ .

Factor $2$ out of $16$ .

$\frac{2 \cdot 8 + 18}{2}$

Factor $2$ out of $18$ .

$\frac{2 \cdot 8 + 2 \cdot 9}{2}$

Factor $2$ out of $2 \cdot 8 + 2 \cdot 9$ .

$\frac{2 \cdot (8 + 9)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 \cdot (8 + 9)}{2 (1)}$

Cancel the common factor.

$\frac{2 \cdot (8 + 9)}{2 \cdot 1}$

Rewrite the expression.

$\frac{8 + 9}{1}$

Divide $8 + 9$ by $1$ .

$8 + 9$

Step 5

Add $8$ and $9$ .

$17$

Step 6

Convert the median $17$ to decimal.

$17$