find the median for the following group of data items. 21, 18, 17, 16, 22, 19, 15, 17 the median is. (type…

find the median for the following group of data items. 21, 18, 17, 16, 22, 19, 15, 17 the median is. (type an integer or a decimal.)
Answer
Explanation:
Step1: Arrange data in ascending order
$15, 16, 17, 17, 18, 19, 21, 22$
Step2: Determine number of data items
There are $n = 8$ data items.
Step3: Calculate median position
Since $n$ is even, the median is the average of the $\frac{n}{2}$-th and $(\frac{n}{2}+ 1)$-th ordered data items. $\frac{n}{2}=\frac{8}{2}=4$ and $\frac{n}{2}+1 = 5$.
Step4: Find median
Median=$\frac{17 + 18}{2}=\frac{35}{2}=17.5$
Answer:
$17.5$