Find the Median 254 , 345 , 232 , 278 , 397 , 198

$254$ , $345$ , $232$ , $278$ , $397$ , $198$

Step 1

Arrange the terms in ascending order.

$198, 232, 254, 278, 345, 397$

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.

$\frac{254 + 278}{2}$

Step 3

Remove parentheses.

$\frac{254 + 278}{2}$

Step 4

Cancel the common factor of $254 + 278$ and $2$ .

Factor $2$ out of $254$ .

$\frac{2 \cdot 127 + 278}{2}$

Factor $2$ out of $278$ .

$\frac{2 \cdot 127 + 2 \cdot 139}{2}$

Factor $2$ out of $2 \cdot 127 + 2 \cdot 139$ .

$\frac{2 \cdot (127 + 139)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 \cdot (127 + 139)}{2 (1)}$

Cancel the common factor.

$\frac{2 \cdot (127 + 139)}{2 \cdot 1}$

Rewrite the expression.

$\frac{127 + 139}{1}$

Divide $127 + 139$ by $1$ .

$127 + 139$

Step 5

Add $127$ and $139$ .

$266$

Step 6

Convert the median $266$ to decimal.

$266$