Question

question 13 of 17, step 1 of 1
find the median of the following data set. assume the data set is a sample.
26, 39, 22, 28, 33, 29, 41, 35, 34, 21, 28, 30
answer
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Explanation:

Step1: Sort the data set

Sort the data set \(26,39,22,28,33,29,41,35,34,21,28,30\) in ascending order: \(21,22,26,28,28,29,30,33,34,35,39,41\)

Step2: Find the median

Since there are \(n = 12\) (even number of data points), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+1)\)th values. \(\frac{n}{2}=6\) and \(\frac{n}{2}+1 = 7\). The 6th value is \(29\) and the 7th value is \(30\). The median is \(\frac{29 + 30}{2}\)

$$ \frac{29+30}{2}=\frac{59}{2}=29.5 $$

Answer:

\(29.5\)