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find the median of this data set: 2, 4, 1, 3, 5, 2, 3

Question

find the median of this data set: 2, 4, 1, 3, 5, 2, 3

Explanation:

Step1: Sort the data set

Sort the data set \(2, 4, 1, 3, 5, 2, 3\) in ascending order: \(1, 2, 2, 3, 3, 4, 5\)

Step2: Find the median

Since there are \(n = 7\) (odd number) data points. The median is the \(\frac{n + 1}{2}\)th value.
\(\frac{7+ 1}{2}=4\)th value.
The \(4\)th value in the sorted data set \(1, 2, 2, 3, 3, 4, 5\) is \(3\)

Answer:

\(3\)