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.

$33745$

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

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