ELEMENTARY STATISTICS W/CONNECT >IP<
ELEMENTARY STATISTICS W/CONNECT >IP<
4th Edition
ISBN: 9781259746826
Author: Bluman
Publisher: MCG
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Chapter 2, Problem 2.1.6RE

Ages of the Vice Presidents at the Time of Their Death The ages of the Vice Presidents of the United States at the time of their death are listed below. Use the data to construct a frequency distribution.

Use 6 classes. The data for this exercise will be used for Exercises 8, 10, and 12.

Chapter 2, Problem 2.1.6RE, Ages of the Vice Presidents at the Time of Their Death The ages of the Vice Presidents of the United

Source: World Almanac and Book of Facts.

Expert Solution & Answer
Check Mark
To determine

To construct: The frequency distribution of the given data.

Answer to Problem 2.1.6RE

The frequency distribution is shown below:

Class Frequency f Cumulative frequency Cumulative percentage
50.5-59.5 5 5 12.2
59.5-68.5 12 17 36.6
68.5-77.5 11 28 63.4
77.5-86.5 8 36 87.8
86.5-95.5 3 39 95.11
95.5-104.5 2 41 100
Total 41

Explanation of Solution

Given info:

The given data shown below:

90 83 80 73 70 51 68 79 70 71
72 74 67 54 81 66 62 63 68 57
66 96 78 55 60 66 57 71 60 85
76 98 77 88 78 81 64 66 77 93
70

The number of classes is 6.

Calculation:

Step-by-step procedure to construct frequency distribution table is as follows:

  • The number of classes is 6.
  • Here the minimum number is 51 and maximum number is 98. Thus, the range is 9851=47 .

Class width is obtained by dividing the range by the number of classes.

Thus,

Classwidth=RangeNumberofclasses=476=7.88(roundedupforconvenient)

Since, the number of 6 classes the class width is considered as 9.

  • Here the lower limit is 51 and hence the lower boundary is 50.5. Also, the class width is 9. Thus the upper limit is 59 and the upper boundary is 59.5. Similarly, the other upper and the lower boundaries are obtained.
  • Make a tally mark for each entry in the corresponding class and continue for all ages in the data.
  • The number of tally marks in each class represents the frequency, f of that class.

Thus, the frequency distribution table the distribution of declaration of independence is as follows,

Class Tally Frequency f
50.5-59.5 |||| 5
59.5-68.5 |||||||||| 12
68.5-77.5 ||||||||| 11
77.5-86.5 ||||||| 8
86.5-95.5 ||| 3
95.5-104.5 || 2

Relative frequency:

The portion of the data that falls in the corresponding class is relative frequency of that class.

Relativefrequency=ClassfrequencySamplesize=fn

Thus, the relative frequency for each class is tabulated below,

Class Frequency f Relative frequency
50.5-59.5 5 541=0.122
59.5-68.5 12 1241=0.293
68.5-77.5 11 1141=0.268
77.5-86.5 8 841=0.195
86.5-95.5 3 341=0.073
95.5-104.5 2 241=0.049
Total 41

Calculate the cumulative percentage.

Thus the frequency distribution is,

Class Frequency f Mid value Cumulative frequency Cumulative percentage
50.5-59.5 5 55 5 12.2
59.5-68.5 12 64 17 36.6
68.5-77.5 11 73 28 63.4
77.5-86.5 8 82 36 87.8
86.5-95.5 3 91 39 95.11
95.5-104.5 2 100 41 100
Total 41

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Chapter 2 Solutions

ELEMENTARY STATISTICS W/CONNECT >IP<

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