Find the Median 32612 , 39367 , 29198 , 34878 , 28461 , 35734

$32612$ , $39367$ , $29198$ , $34878$ , $28461$ , $35734$

Step 1

Arrange the terms in ascending order.

$28461, 29198, 32612, 34878, 35734, 39367$

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.

$\frac{32612 + 34878}{2}$

Step 3

Remove parentheses.

$\frac{32612 + 34878}{2}$

Step 4

Cancel the common factor of $32612 + 34878$ and $2$ .

Factor $2$ out of $32612$ .

$\frac{2 \cdot 16306 + 34878}{2}$

Factor $2$ out of $34878$ .

$\frac{2 \cdot 16306 + 2 \cdot 17439}{2}$

Factor $2$ out of $2 \cdot 16306 + 2 \cdot 17439$ .

$\frac{2 \cdot (16306 + 17439)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 \cdot (16306 + 17439)}{2 (1)}$

Cancel the common factor.

$\frac{2 \cdot (16306 + 17439)}{2 \cdot 1}$

Rewrite the expression.

$\frac{16306 + 17439}{1}$

Divide $16306 + 17439$ by $1$ .

$16306 + 17439$

Step 5

Add $16306$ and $17439$ .

$33745$

Step 6

Convert the median $33745$ to decimal.

$33745$