Question

find the median for the following group of data items. 15, 12, 11, 10, 16, 13, 9, 11 the median is (type an integer or a decimal)

Explanation:

Step1: Sort the data

Sort the data items in ascending order: \(9, 10, 11, 11, 12, 13, 15, 16\)

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 terms.
\(\frac{n}{2}=\frac{8}{2} = 4\), \(\frac{n}{2}+1=4 + 1=5\)
The 4th term is \(11\), the 5th term is \(12\)
Median \(=\frac{11 + 12}{2}=\frac{23}{2}=11.5\)

Answer:

\(11.5\)