Question

what is the q2 of this data set? 6, 7, 2, 1, 5, 2, 1, 6

Explanation:

Step1: Sort the data set

$1,1,2,2,5,6,6,7$

Step2: Determine the position of Q2

Since there are $n = 8$ data - points, and $Q2$ is the median. For an even - numbered data set, the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th ordered data points. Here, $\frac{n}{2}=4$ and $\frac{n}{2}+1 = 5$.

Step3: Calculate Q2

$Q2=\frac{2 + 5}{2}=\frac{7}{2}=3.5$

Answer:

$3.5$