Find the Median 42 , 28 , 55 , 37 , 57 , 37 , 49 , 47 , 42 , 28

$42$ , $28$ , $55$ , $37$ , $57$ , $37$ , $49$ , $47$ , $42$ , $28$

Step 1

Arrange the terms in ascending order.

$28, 28, 37, 37, 42, 42, 47, 49, 55, 57$

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.

$\frac{42 + 42}{2}$

Step 3

Remove parentheses.

$\frac{42 + 42}{2}$

Step 4

Cancel the common factor of $42 + 42$ and $2$ .

Factor $2$ out of $42$ .

$\frac{2 \cdot 21 + 42}{2}$

Factor $2$ out of $42$ .

$\frac{2 \cdot 21 + 2 \cdot 21}{2}$

Factor $2$ out of $2 \cdot 21 + 2 \cdot 21$ .

$\frac{2 \cdot (21 + 21)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 \cdot (21 + 21)}{2 (1)}$

Cancel the common factor.

$\frac{2 \cdot (21 + 21)}{2 \cdot 1}$

Rewrite the expression.

$\frac{21 + 21}{1}$

Divide $21 + 21$ by $1$ .

$21 + 21$

Step 5

Add $21$ and $21$ .

$42$

Step 6

Convert the median $42$ to decimal.

$42$