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Chapter 2: Q. 2.64 (page 68)

In Exercises 2.60-2.71. we have presented some quantitative data sets and specified a grouping method for practicing the concepts. For each data set,

a. determine a frequency distribution

b. obtain a relative-frequency distribution.

c. construct a frequency histogram based on your result from part (a).

d. construct a relative-frequency histogram based on your result

from part (b).

Use limit grouping with a first class of 0-9and a class width of 10.

Short Answer

Expert verified

Part a. The frequency distribution is given as

ClassTallyFrequency
0-9|||3
10-19|||3
20-29|||||5
30-39||||||||8
40-49|1

Part b. The relative frequency distribution is given as

ClassFrequencyRelative Frequency
0-93320=0.15
10-193320=0.15
20-295520=0.25
30-398820=0.4
40-491120=0.05
Total201

Part c. The frequency histogram is given as

Part d. The relative frequency histogram is given as

Step by step solution

01

Part (a) Step 1. Given Information

We are given a quantitative data set.

02

Part (a) Step 2. Frequency Distribution

Using limit grouping with a first class of 0-9and a class width of 10, the frequency distribution can be given as

ClassTallyFrequency
0-9|||3
10-19|||3
20-29|||||5
30-39||||||||8
40-49|1
03

Part (b) Step 1. Relative frequency distribution

The relative frequency distribution for the given data is given as

ClassFrequencyRelative Frequency
0-93320=0.15
10-193320=0.15
20-295520=0.25
30-398820=0.4
40-491120=0.05
Total201
04

Part (c) Step 1. Frequency histogram

The frequency histogram for the frequency distribution can be given as

05

Part (d) Step 1. Relative frequency histogram

The relative-frequency histogram for the relative-frequency distribution can be given as

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Most popular questions from this chapter

Exam Scores. The exam scores for the students in an introductory statistics class are as follows.

a. Group these exam scores, using the classes 30-39,40-49,50-59,60-69,70-79,80-89, and 90-100.

b. What are the widths of the classes?

c. If you wanted all the classes to have the same width, what classes would you use?

Construct a stem-and-leaf diagram for the data, using five lines per stem.

Distribution of a variable.

Drug dealer motivation is traditionally attributed to greed or social pressures. Researchers R. Highland and D. Dabney explore possible personality characteristics as a motivation in the article "Using Adlerian Theory to Shed Light on Drug Dealer Motivations" (Applied Psychology in Criminal Justice, Vol. 5, Issue 2, pp. 109-138). The following table lists the types of drug sold from a sample of convicted drug dealers.

For instance, consider the grouped days-to-maturity data given in Table 2.10(b) on page 57.

From that table, we see that the cumulative frequency of investments with a maturity period of less than 50day is 4(3+1)and, therefore, the cumulative relative frequency is0.1(4/40).

Table 2.14shows all cumulative information for the days-to-maturity data.

Cumulative information for days-to-maturity data.

a. Round each observation to the nearest year and then construct a stem-and-leaf diagram of the rounded data.

b. Truncate each observation by dropping the decimal part, and then construct a stem-and-leaf diagram of the truncated data.

c. Compare the stem-and-leaf diagrams that you obtained in parts (a) and (b).
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