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Data Session 3, Part C: Relative and Cumulative Frequencies and Leaf Plot
 
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Session 3, Part C:
Relative and Cumulative Frequencies

In This Part: Relative Frequencies | Cumulative Frequencies
Relative Cumulative Frequencies

As in Session 2, we can determine cumulative frequencies for intervals of data. For example, the number of responses that are less than 60 is the cumulative frequency of 60. (Note that "below 60" means "in the 50s and below.")

If you begin with the stem and leaf plot for the 52 estimates of a minute, the 22 values in the lighter color are the estimates below 60:

stem and leaf for 52 estimates

The corresponding 22 dots are shown in the dot version of this stem and leaf plot:

Corresponding dots

And finally, the corresponding bars in the frequency histogram are shown in red:

corresponding bars

These three representations tell us that there are 22 estimates below 60.


 

Problem C3

  

Complete this cumulative frequency table with the information you collected from the histograms above:

Interval

Frequency

Cumulative Frequency

30 to < 40

4

40 to < 50

1

50 to < 60

17

22

60 to < 70

18

70 to < 80

7

80 to < 90

4

90 to < 100

1

show answers

 

Interval

Frequency

Cumulative Frequency

30 to < 40

4

4

40 to < 50

1

5

50 to < 60

17

22

60 to < 70

18

40

70 to < 80

7

47

80 to < 90

4

51

90 to < 100

1

52


hide answers


 

Problem C4

Solution  

Use only the cumulative frequencies from the table to answer the questions below. As with Problem C1, first determine whether a question can be answered using only this table.

a. 

How many responses are in the 70s and below?

b. 

How many responses are 80 or higher?

c. 

How many responses are in the 50s and below?

d. 

How many responses are 60 or higher?

e. 

How many responses are less than 100?

f. 

How many responses are at least 40 but below 70?

g. 

How many responses are 65 or greater?

h. 

How many responses are less than 35?

i. 

How many responses are equal to 60?


Next > Part C (Continued): Relative Cumulative Frequencies

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