Find the Median 67 , 57 , 52 , 51 , 64 , 58 , 67 , 58 , 55 , 59 , 66 , 50 , 57 , 62 , 58 , 50 , 58 , 50 , 60 , 63

$67$ , $57$ , $52$ , $51$ , $64$ , $58$ , $67$ , $58$ , $55$ , $59$ , $66$ , $50$ , $57$ , $62$ , $58$ , $50$ , $58$ , $50$ , $60$ , $63$

Step 1

Arrange the terms in ascending order.

$50, 50, 50, 51, 52, 55, 57, 57, 58, 58, 58, 58, 59, 60, 62, 63, 64, 66, 67, 67$

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.

$\frac{58 + 58}{2}$

Step 3

Remove parentheses.

$\frac{58 + 58}{2}$

Step 4

Cancel the common factor of $58 + 58$ and $2$ .

Factor $2$ out of $58$ .

$\frac{2 \cdot 29 + 58}{2}$

Factor $2$ out of $58$ .

$\frac{2 \cdot 29 + 2 \cdot 29}{2}$

Factor $2$ out of $2 \cdot 29 + 2 \cdot 29$ .

$\frac{2 \cdot (29 + 29)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 \cdot (29 + 29)}{2 (1)}$

Cancel the common factor.

$\frac{2 \cdot (29 + 29)}{2 \cdot 1}$

Rewrite the expression.

$\frac{29 + 29}{1}$

Divide $29 + 29$ by $1$ .

$29 + 29$

Step 5

Add $29$ and $29$ .

$58$

Step 6

Convert the median $58$ to decimal.

$58$