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Chapter 2: Q. 2.65 (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 0-4and a class width of 5.

Short Answer

Expert verified

Part a. The frequency distribution is given as

ClassTallyFrequency
0-4|||||5
5-9|||||5
10-14|1
15-19||||4
20-24||2
25-29|||3

Part b. The relative frequency distribution is given as

ClassFrequencyRelative Frequency
0-45520=0.25
5-95520=0.25
10-141120=0.05
15-194420=0.2
20-242220=0.1
25-293320=0.15
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 0-4and a class width of 5, the frequency distribution can be given as

ClassTallyFrequency
0-4|||||5
5-9|||||
5
10-14|1
15-19||||4
20-24||2
25-29|||3
03

Part (b) Step 1. Relative frequency distribution

The relative frequency distribution for the given data is given as

ClassFrequencyRelative Frequency
0-45520=0.25
5-95520=0.25
10-141120=0.05
15-194420=0.2
20-242220=0.1
25-293320=0.15
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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