Find the Median 34 , 51 , 47 , 26 , 31 , 38

$34$ , $51$ , $47$ , $26$ , $31$ , $38$

Step 1

Arrange the terms in ascending order.

$26, 31, 34, 38, 47, 51$

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.

$\frac{34 + 38}{2}$

Step 3

Remove parentheses.

$\frac{34 + 38}{2}$

Step 4

Cancel the common factor of $34 + 38$ and $2$ .

Factor $2$ out of $34$ .

$\frac{2 \cdot 17 + 38}{2}$

Factor $2$ out of $38$ .

$\frac{2 \cdot 17 + 2 \cdot 19}{2}$

Factor $2$ out of $2 \cdot 17 + 2 \cdot 19$ .

$\frac{2 \cdot (17 + 19)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 \cdot (17 + 19)}{2 (1)}$

Cancel the common factor.

$\frac{2 \cdot (17 + 19)}{2 \cdot 1}$

Rewrite the expression.

$\frac{17 + 19}{1}$

Divide $17 + 19$ by $1$ .

$17 + 19$

Step 5

Add $17$ and $19$ .

$36$

Step 6

Convert the median $36$ to decimal.

$36$