Question

find the median for the following group of data items. 13, 10, 9, 8, 14, 11, 7, 9
the median is (type an integer or a decimal.)

Explanation:

Step1: Arrange data in ascending order

7, 8, 9, 9, 10, 11, 13, 14

Step2: Determine the number of data - items

There are $n = 8$ data - items. Since $n$ is even, the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th ordered data values.

Step3: Find the positions of the middle values

$\frac{n}{2}=\frac{8}{2}=4$ and $\frac{n}{2}+1 = 4 + 1=5$.

Step4: Identify the middle values

The 4th value is 9 and the 5th value is 10.

Step5: Calculate the median

Median=$\frac{9 + 10}{2}=\frac{19}{2}=9.5$

Answer:

9.5