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Learning Math Home
Data Session 3, Part A: Organizing Data in a Stem and Leaf Plot
 
Session 3 Part A Part B Part C Part D Homework
 
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Session 3, Part A:
Organizing Data in a Stem and Leaf Plot

In This Part:
How Long Is a Minute? | Making a Stem and Leaf Plot | Ordering a Stem and Leaf Plot
Interpreting the Stem and Leaf Plot | Grouping by Fives | Ordering Low and High

The stem and leaf plot for the 26 estimates of elapsed time illustrates a grouping of the data by tens; for example, the first stem contains all values from 30 to 39. A stem and leaf plot, however, does not have to group the data by tens -- we could have grouped by fives, for instance. If we were grouping by fives, we would consider all possible numbers in the 50s, for instance, and then put them in two groups, the High and the Low:

Low Group

 

High Group

50 51 52 53 54

55 56 57 58 59

When forming the stems for a grouping by fives, we consider the second digit of each number as well as the first:

 

Numbers in the Low Group end with a second digit of 0, 1, 2, 3, or 4.

 

Numbers in the High Group end with a second digit of 5, 6, 7, 8, or 9.

Note that the two groups each have the same number of possible second digits (5). When creating a stem and leaf plot, all stems should have the same number of possible leaves.

To classify our 26 responses in this way, we set up our stem and leaf plot with stems corresponding to the Highs (H) and Lows (L) and then group the responses accordingly. For example, the first data value (63) is on stem 6L since its leaf, 3, is in the Low Group:

26 Responses to the Question

63

67

79

75

57

72

52

89

39

59

55

68

66

86

70

52

60

64

42

54

56

82

57

65

59

33

 

 

 

Problem A7

Solution  

Use the Interactive Activity below to convert the stem and leaf plot grouped by tens into a stem and leaf plot grouped by fives (or regroup them on paper).


 
 

This activity requires the Flash plug-in, which you can download for free from Macromedia's Web site.


Next > Part A (Continued): Ordering Low and High

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