The cumulative frequency and the cumulative relative

Chapter 1, Problem 14SE

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QUESTION:

The cumulative frequency and the cumulative relative frequency for a given class interval are the sums of the frequencies and relative frequencies, respectively, over all classes up to and including the given class. For example, if there are five classes, with frequencies 11, 7, 3, 14, and 5, the cumulative frequencies would be 11, 18, 21, 35, and 40, and the cumulative relative frequencies would be 0.275, 0.450, 0.525, 0.875, and 1.000. Construct a table presenting frequencies, relative frequencies, cumulative frequencies, and cumulative relative fre-

quencies, for the data in Exercise 2 of Section 1.3, using the class intervals 14 –<15, 15 –<16,..., 22 –<23.

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QUESTION:

The cumulative frequency and the cumulative relative frequency for a given class interval are the sums of the frequencies and relative frequencies, respectively, over all classes up to and including the given class. For example, if there are five classes, with frequencies 11, 7, 3, 14, and 5, the cumulative frequencies would be 11, 18, 21, 35, and 40, and the cumulative relative frequencies would be 0.275, 0.450, 0.525, 0.875, and 1.000. Construct a table presenting frequencies, relative frequencies, cumulative frequencies, and cumulative relative fre-

quencies, for the data in Exercise 2 of Section 1.3, using the class intervals 14 –<15, 15 –<16,..., 22 –<23.

ANSWER:

Answer:

Step 1 of 1:

               Here we need to construct a table for presenting frequencies, relative frequencies, cumulative frequencies, cumulative relative frequencies.

                 Therefore, relative frequency =

                                                                 =

                                                                  = 0.2857

 

  Class interval

Frequency

Relative frequency

Cumulative frequency

Cumulative Relative frequency

  0-1

12

0.2857

12

0.2851

  1-2

6

0.1429

12+6=18

0.2851+0.1429=0.428

2-3

3

0.0714

18+3=21

0.428+0.0714=0.4994

3-4

5

0.1190

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