what is the median of the data set? 9, 3, 10, 12, 4, 5, 12, 2 enter your answer in the box.

what is the median of the data set? 9, 3, 10, 12, 4, 5, 12, 2 enter your answer in the box.
Answer
Explanation:
Step1: Sort the data set
$2,3,4,5,9,10,12,12$
Step2: Determine the middle - value position
There are $n = 8$ data points. The position of the median for an even - numbered data set is $\frac{n}{2}$ and $\frac{n}{2}+1$. Here, $\frac{n}{2}=\frac{8}{2}=4$ and $\frac{n}{2}+1 = 5$.
Step3: Calculate the median
The median is the average of the 4th and 5th ordered values. So, median=$\frac{5 + 9}{2}=\frac{14}{2}=7$
Answer:
7