Question

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

Answer 1

Case: Quartile

Method:

Step 1: We arrange the data

26, 34, 38, 49, 65, 75, 81

Step 2: Find the 3rd quartile position

`\begin{gathered} position,3q \\ 3q=(3)/(4)(n+1) \\ 3q=(3)/(4)(7+1) \\ 3q=(3)/(4)*8 \\ 3q=6th \end{gathered}`

Step 3:

The 6th value is 75

Final answer: Option (C)

The third quartile is 75