Arrange Data

Sort the given data set in ascending order to apply the median position formula: $12, 14, 15, 18, 20, 22, 25$.

$12, 14, 15, 18, 20, 22, 25$

Count Observations

Identify the total number of observations, which is $n = 7$ (an odd number).

$n = 7$

Find Median Position

Apply the median formula for an odd number of terms: $\left(\frac{n + 1}{2}\right)^{\text{th}}$ term.

$ext{\text{Position}} = \frac{7 + 1}{2} = 4^{\text{th}} \text{ term}$

Extract Median Value

Locate the 4th term in the sorted array, which corresponds to $18$.

$ext{\text{Median}} = 18$