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Learning Math Home
Data Session 4, Part D: The Box Plot
 
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Session 4, Part D:
The Box Plot (25 minutes)

In This Part: Five-Number Summary with Measurement Data | Drawing a Box Plot

Now we'll look at how you can represent the Five-Number Summary graphically, using a box plot. For this activity, we will work with a set of 12 noodles with the following measurements (in millimeters):

12 Noodles (in millimeters)

23

28

33

41

56

74

81

91

102

109

118

122

Problem D1

Solution  

Why is it necessary to order the data before creating a Five-Number Summary?

 
 

Let's create a Five-Number Summary for this set of ordered data:

 

Determine Q1, Med, and Q3:

The lines representing Q1, Med, and Q3 each have lengths that are halfway between their adjacent noodles:

Q1 = (33 + 41) / 2 = 37

Med = (74 + 81) / 2 = 77.5

Q3 = (102 + 109) / 2 = 105.5

 

Here is the Five-Noodle Summary:

 

Add a vertical number line:

 

Here is the Five-Number Summary:


Next > Part D (Continued): Drawing a Box Plot

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