What is the third quartile of the set of data shown below?

SOLUTION:
Case: Quartile
Method:
Step 1: We arrange the data
26, 34, 38, 49, 65, 75, 81
Step 2: Find the 3rd quartile position
[tex]\begin{gathered} position,3q \\ 3q=\frac{3}{4}(n+1) \\ 3q=\frac{3}{4}(7+1) \\ 3q=\frac{3}{4}\times8 \\ 3q=6th \end{gathered}[/tex]Step 3:
The 6th value is 75
Final answer: Option (C)
The third quartile is 75