Question

find the median for the following group of data items. 24, 21, 20, 19, 25, 22, 18, 20 the median is (type an integer or a decimal.)

Explanation:

Step1: Sort the data

Sort the data items in ascending order: \(18, 19, 20, 20, 21, 22, 24, 25\)

Step2: Determine the median position

Since there are \(n = 8\) data items (even number of data points), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+ 1)\)th values. Here, \(\frac{n}{2}=\frac{8}{2}=4\) and \(\frac{n}{2}+1 = 5\)

Step3: Find the median

The 4th value is \(20\) and the 5th value is \(21\). The median \(M=\frac{20 + 21}{2}=\frac{41}{2}=20.5\)

Answer:

\(20.5\)