Question

find the median for the following group of data items. 9, 6, 5, 4, 10, 7, 3, 5 the median is (type an integer or a decimal.)

Explanation:

Step1: Sort the data

Sort the data items in ascending order: \(3,4,5,5,6,7,9,10\)

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.
\(\frac{n}{2}=\frac{8}{2} = 4\), \(\frac{n}{2}+1=\frac{8}{2}+1=5\)
The 4th value is \(5\) and the 5th value is \(6\)
Median \(=\frac{5 + 6}{2}=\frac{11}{2}=5.5\)

Answer:

\(5.5\)