statistics & probability\ndetermine the median of the following: 5, 8, 1, 26, 20, 36, 29, 50

Explanation:

Step1: Arrange data in ascending order

$1,5,8,20,26,29,36,50$

Step2: Identify number of data points

There are $n = 8$ data - points.

Step3: Use median formula for even number of data points

The formula for the median of an even - numbered data set is $\text{Median}=\frac{x_{\frac{n}{2}}+x_{\frac{n}{2}+1}}{2}$. Here, $\frac{n}{2}=4$ and $\frac{n}{2}+1 = 5$. So, $x_4 = 20$ and $x_5=26$. Then $\text{Median}=\frac{20 + 26}{2}=\frac{46}{2}=23$.

Answer:

$23$