Question

find the median for the following group of data items.
26, 23, 22, 21, 27, 24, 20, 22
the median is □. (type an integer or a decimal.)

Explanation:

Step1: Sort the data

Sort the data items in ascending order: \(20, 21, 22, 22, 23, 24, 26, 27\)

Step2: Find the median

Since there are \(n = 8\) (even number of data items), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+ 1)\)th values.
\(\frac{n}{2}=\frac{8}{2}=4\) and \(\frac{n}{2}+1=\frac{8}{2}+1 = 5\)
The 4th value is \(22\) and the 5th value is \(23\)
Median\(=\frac{22 + 23}{2}=\frac{45}{2}=22.5\)

Answer:

\(22.5\)