Question

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.)

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:

$17.5$