Find the median of the following data set. Assume the data set is a sample.
\[
33,20,13,26,27,22,21,25,20,14,31,18
\]

Answer

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Answer

Final Answer: The median of the data set is \(\boxed{21.5}\)

Steps

Step 1 ：Given the data set: \(33,20,13,26,27,22,21,25,20,14,31,18\)

Step 2 ：First, sort the data set in ascending order: \(13, 14, 18, 20, 20, 21, 22, 25, 26, 27, 31, 33\)

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 list.

Step 4 ：Calculate the average of the 6th and 7th numbers: \(\frac{21 + 22}{2} = 21.5\)

Step 5 ：Final Answer: The median of the data set is \(\boxed{21.5}\)