Question

find the median for the following group of data items.
9, 14, 7, 6, 13, 8, 15, 12
the median is □. (type an integer or a decimal.)

Explanation:

Step1: Sort the data items

Sort the given data \(9, 14, 7, 6, 13, 8, 15, 12\) in ascending order.
$$6,7,8,9,12,13,14,15$$

Step2: Find the median

Since the number of data items \(n = 8\) (an even number), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+1)\)th terms.
Here, \(\frac{n}{2}=\frac{8}{2} = 4\) and \(\frac{n}{2}+1=4 + 1=5\)
The 4th term is \(9\) and the 5th term is \(12\)
Median \(=\frac{9 + 12}{2}=\frac{21}{2}=10.5\)

Answer:

\(10.5\)