Find the Median 100 , 120 , 140 , 160 , 180 , 200

$100$ , $120$ , $140$ , $160$ , $180$ , $200$

Step 1

Arrange the terms in ascending order.

$100, 120, 140, 160, 180, 200$

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.

$\frac{140 + 160}{2}$

Step 3

Remove parentheses.

$\frac{140 + 160}{2}$

Step 4

Cancel the common factor of $140 + 160$ and $2$ .

Factor $2$ out of $140$ .

$\frac{2 \cdot 70 + 160}{2}$

Factor $2$ out of $160$ .

$\frac{2 \cdot 70 + 2 \cdot 80}{2}$

Factor $2$ out of $2 \cdot 70 + 2 \cdot 80$ .

$\frac{2 \cdot (70 + 80)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 \cdot (70 + 80)}{2 (1)}$

Cancel the common factor.

$\frac{2 \cdot (70 + 80)}{2 \cdot 1}$

Rewrite the expression.

$\frac{70 + 80}{1}$

Divide $70 + 80$ by $1$ .

$70 + 80$

Step 5

Add $70$ and $80$ .

$150$

Step 6

Convert the median $150$ to decimal.

$150$