Question

what is the q3 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: Calculate the position of Q3

There are $n = 8$ data - points. The position of Q3 is $i=\frac{3(n + 1)}{4}=\frac{3\times(8 + 1)}{4}=\frac{27}{4}=6.75$.

Step3: Interpolate to find Q3

The 6th value is 6 and the 7th value is 6.
$Q3=6+(6 - 6)\times0.75=6$

Answer:

6