Find the median of the following data set. Assume the data set is a sample. \[ 48,35,28,41,42,37,36,40,35,29,46,33 \]

Step 1 ：Given the data set [48,35,28,41,42,37,36,40,35,29,46,33].

Step 2 ：First, sort the data set in ascending order to get [28, 29, 33, 35, 35, 36, 37, 40, 41, 42, 46, 48].

Step 3 ：Since the data set has an even number of observations, the median is the average of the 6th and 7th numbers in the sorted data set.

Step 4 ：Calculate the average of the 6th and 7th numbers, \( \frac{36 + 37}{2} = 36.5 \).

Step 5 ：So, the median of the data set is \(\boxed{36.5}\).