Class 2Class 130Grades of Two Classes+40 50 60+70 80 90 100 110 120GradeThe box plots above show the grades of two classes. Use these box plots to answer the following questions:1. What is the IQR of Class 1?2. What is the range of Class 2?

Answered: Class 2 Class 1 30 Grades of Two…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Class 2
Class 1
30
Grades of Two Classes
+
40 50 60
+
70 80 90 100 110 120
Grade
The box plots above show the grades of two classes. Use these box plots to answer the following questions:
1. What is the IQR of Class 1?
2. What is the range of Class 2?

Expert Solution

Step 1

The box plots of grades of the two classes are given in the question.

The formula for the inter quartile range is given below

$I Q R = Q_{3} - Q_{1}$

$Q_{3}$ is the third quartile.

$Q_{1}$ is the first quartile.

The formula for the range is given below.

$Range=Maximum value-Minimum value$

The endpoint of the left whisker represents the minimum. The left whisker is the line that extends from the left edge of the box to the minimum value. The left edge of the box represents the first quartile. The vertical line that splits the box in two parts represents the median. The right edge of the box represents the third quartile. The endpoint of the right whisker represents the maximum. The right whisker is the line that extends from the right edge of the box to the maximum value.