Find the Median 11 23 16 15 25 22 20 16 23 18

$11$ $23$ $16$ $15$ $25$ $22$ $20$ $16$ $23$ $18$

Step 1

Arrange the terms in ascending order.

$11, 15, 16, 16, 18, 20, 22, 23, 23, 25$

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.

$\frac{18 + 20}{2}$

Step 3

Remove parentheses.

$\frac{18 + 20}{2}$

Step 4

Cancel the common factor of $18 + 20$ and $2$ .

Factor $2$ out of $18$ .

$\frac{2 \cdot 9 + 20}{2}$

Factor $2$ out of $20$ .

$\frac{2 \cdot 9 + 2 \cdot 10}{2}$

Factor $2$ out of $2 \cdot 9 + 2 \cdot 10$ .

$\frac{2 \cdot (9 + 10)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 \cdot (9 + 10)}{2 (1)}$

Cancel the common factor.

$\frac{2 \cdot (9 + 10)}{2 \cdot 1}$

Rewrite the expression.

$\frac{9 + 10}{1}$

Divide $9 + 10$ by $1$ .

$9 + 10$

Step 5

Add $9$ and $10$ .

$19$

Step 6

Convert the median $19$ to decimal.

$19$