Find the Median 168 , 149 , 27 , 44 , 11 , 98 , 44 , 138 , 74 , 149 , 44 , 110

$168$ , $149$ , $27$ , $44$ , $11$ , $98$ , $44$ , $138$ , $74$ , $149$ , $44$ , $110$

Step 1

Arrange the terms in ascending order.

$11, 27, 44, 44, 44, 74, 98, 110, 138, 149, 149, 168$

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.

$\frac{74 + 98}{2}$

Step 3

Remove parentheses.

$\frac{74 + 98}{2}$

Step 4

Cancel the common factor of $74 + 98$ and $2$ .

Factor $2$ out of $74$ .

$\frac{2 \cdot 37 + 98}{2}$

Factor $2$ out of $98$ .

$\frac{2 \cdot 37 + 2 \cdot 49}{2}$

Factor $2$ out of $2 \cdot 37 + 2 \cdot 49$ .

$\frac{2 \cdot (37 + 49)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 \cdot (37 + 49)}{2 (1)}$

Cancel the common factor.

$\frac{2 \cdot (37 + 49)}{2 \cdot 1}$

Rewrite the expression.

$\frac{37 + 49}{1}$

Divide $37 + 49$ by $1$ .

$37 + 49$

Step 5

Add $37$ and $49$ .

$86$

Step 6

Convert the median $86$ to decimal.

$86$