find the median of this data set.\n10, 20, 2, 26, 12, 22, 5, 1

Explanation:

Step1: Sort the data set

$1,2,5,10,12,20,22,26$

Step2: Determine the number of data - points

There are $n = 8$ data - points. Since $n$ is even, the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th ordered data - points.

Step3: Find the relevant data - points

$\frac{n}{2}=\frac{8}{2}=4$ and $\frac{n}{2}+1 = 4 + 1=5$. The 4th value is $10$ and the 5th value is $12$.

Step4: Calculate the median

Median=$\frac{10 + 12}{2}=\frac{22}{2}=11$

Answer:

$11$