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Chapter 2: Q. 2.88 (page 70)

Use the specified grouping method to

Part (a): Determine a frequency distribution.

Part (b): Obtain a relative frequency distribution.

Part (c): Construct a frequency histogram based on your result from part (a).

Part (d): Construct a relative frequency histogram based on your result from part (b).

From the TVbytheNumbers website, we obtain the viewing audiences, in millions, for the top 20 primetime broadcast TV shows for the week ending August 18,2013. Use cutpoint grouping with a first class of 4-under 5.

Short Answer

Expert verified

Part (a): A frequency distribution is given below,


Part (b): A relative-frequency distribution is given below,


Part (c): On constructing a histogram using part (a), we get,


Part (d): On constructing a relative frequency histogram using part (b), we get,

Step by step solution

01

Part (a) Step 1. Given information.

Consider the given question,

02

Part (a) Step 2. Determine a frequency distribution.

We know that the first class is 4-5and the width of the class interval is 1.

The second class is 5-under 6.

The highest observation is 10.36and the last class is 10-under 11.

The frequency distribution using limit grouping is given below,

03

Part (b) Step 1. Determine the relative-frequency distribution.

The formula of the relative frequency is Relativefrequency=FrequencyNumberofobservations.

The relative frequency distribution is given below,

04

Part (c) Step 1. Construct a frequency histogram.

The cutpoints represent the horizontal line while constructing the histogram.

On constructing a histogram using part (a) is given below,

It is clear that the height of the bar represents the frequency.

05

Part (d) Step 1. Construct a relative frequency histogram.

On constructing a relative frequency histogram using part (b) is given below,

It is clear that the height of the bar represents the relative-frequency.

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Most popular questions from this chapter

Identify and sketch three distribution shapes that are symmetric

In Exercises 2.20-2.25, we have presented some simple qualitative data sets for practicing the concepts. For each data set,

a. determine a frequency distribution.

b. obtain a relative-frequency distribution.

c. draw a pie chart.

d. Construct a bar chart.

Use the specified grouping method to

Part (a): Determine a frequency distribution.

Part (b): Obtain a relative frequency distribution.

Part (c): Construct a frequency histogram based on your result from part (a).

Part (d): Construct a relative frequency histogram based on your result from part (b).

Patients who undergo chronic hemodialysis often experience severe anxiety. Videotapes of progressive relaxation exercises were shown to one group of patients and neutral videotapes to another group. Then both groups took the State-Trait Anxiety Inventory, a psychiatric questionnaire used to measure anxiety, on which higher scores correspond to higher anxiety. In the paper "The Effectiveness of Progressive Relaxation in Chronic Hemodialysis Patients", R. Alarcon et al. presented the results of the study. The following data give score results for the group that viewed relaxation-exercises videotapes. Use limit grouping with a first class of 12-17 and a class width of 6.

Explain the advantages and disadvantages of frequency histograms versus frequency distributions.

For quantitative data, we examined three types of grouping: single-value grouping, limit grouping, and cut point grouping. For each type of data given, decide which of these three grouping types is usually best, Explain your answers.

a. Continuous data displayed to one or more decimal places

b. Discrete data in which there are relatively few distinct observations
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