Find the Median 28 , 48 , 55 , 23 , 43 , 7 , 22 , 16 , 24 , 35 , 28 , 19

$28$ , $48$ , $55$ , $23$ , $43$ , $7$ , $22$ , $16$ , $24$ , $35$ , $28$ , $19$

Step 1

Arrange the terms in ascending order.

$7, 16, 19, 22, 23, 24, 28, 28, 35, 43, 48, 55$

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.

$\frac{24 + 28}{2}$

Step 3

Remove parentheses.

$\frac{24 + 28}{2}$

Step 4

Cancel the common factor of $24 + 28$ and $2$ .

Factor $2$ out of $24$ .

$\frac{2 \cdot 12 + 28}{2}$

Factor $2$ out of $28$ .

$\frac{2 \cdot 12 + 2 \cdot 14}{2}$

Factor $2$ out of $2 \cdot 12 + 2 \cdot 14$ .

$\frac{2 \cdot (12 + 14)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 \cdot (12 + 14)}{2 (1)}$

Cancel the common factor.

$\frac{2 \cdot (12 + 14)}{2 \cdot 1}$

Rewrite the expression.

$\frac{12 + 14}{1}$

Divide $12 + 14$ by $1$ .

$12 + 14$

Step 5

Add $12$ and $14$ .

$26$

Step 6

Convert the median $26$ to decimal.

$26$