Find the Median 210000 , 139000 , 122000 , 145000 , 120000 , 540000 , 167000 , 125000 , 125000 , 950000

$210000$ , $139000$ , $122000$ , $145000$ , $120000$ , $540000$ , $167000$ , $125000$ , $125000$ , $950000$

Step 1

Arrange the terms in ascending order.

$120000, 122000, 125000, 125000, 139000, 145000, 167000, 210000, 540000, 950000$

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.

$\frac{139000 + 145000}{2}$

Step 3

Remove parentheses.

$\frac{139000 + 145000}{2}$

Step 4

Cancel the common factor of $139000 + 145000$ and $2$ .

Factor $2$ out of $139000$ .

$\frac{2 \cdot 69500 + 145000}{2}$

Factor $2$ out of $145000$ .

$\frac{2 \cdot 69500 + 2 \cdot 72500}{2}$

Factor $2$ out of $2 \cdot 69500 + 2 \cdot 72500$ .

$\frac{2 \cdot (69500 + 72500)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 \cdot (69500 + 72500)}{2 (1)}$

Cancel the common factor.

$\frac{2 \cdot (69500 + 72500)}{2 \cdot 1}$

Rewrite the expression.

$\frac{69500 + 72500}{1}$

Divide $69500 + 72500$ by $1$ .

$69500 + 72500$

Step 5

Add $69500$ and $72500$ .

$142000$

Step 6

Convert the median $142000$ to decimal.

$142000$