Chapter 13.4, Problem 17STP

To determine

Theinter quartile range of the quiz score of students.

Answer to Problem 17STP

The inter quartile range is4

Explanation of Solution

Given:

This is given information:

The quiz scores for 25 students. $\{3,3,4,4,5,5,5,5,5,5,6,6,6,6,7,8,8,9,9,9,10,10,11,11,16\}$

From the given box plot, the first quartile and the third quartile are as follows:

  $Q1=5,Q3=9$

It is known that inter quartile range, IQR is the difference between upper and lower quartile.

Thus, the inter quartile range is as follows:

  $\begin{array}{l}IQR=Q3–Q1\hfill \\ =9–5\hfill \\ =4\hfill \end{array}$

Therefore, the required answer is: 4.