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.)

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:

$17.5$