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Chapter 2: Q. 2.48 (page 68)

Explain the difference between a frequency histogram and a relative-frequency histogram.

Short Answer

Expert verified

The main difference between a frequency histogram and a relative frequency histogram is that in a relative histogram, the height of each bar equals the relative frequencies of the class rather than the frequency of the class.

Step by step solution

01

Concept introduction

In statistics, a histogram is a solid figure or diagram made up of rectangular bars. It's one of the most used types of bar graph, and it's used to visualise any numeric data in a practical way.

02

Explanation

A frequency histogram is a sort of bar graph that displays the frequency, or number of times, a data set's outcome happens. To graphically show the data, it has a title, an x-axis, a y-axis, and vertical bars.

A relative frequency histogram is a variant of the standard frequency histogram. We use this axis to express the overall proportion of data values that fall into this bin, rather than utilising a vertical axis to represent the count of data values that fall into a certain bin.

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Most popular questions from this chapter

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.

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a. use the technology of your choice to identify the modality and symmetry (or non-symmetry) of the distribution of the data set.

b. if unimodal, classify the distribution as symmetric right-skewed. or left-skewed.

What is the frequency distribution of qualitative data and why is it useful?

Use cutpoint grouping with a first class of 40 -under 46.

State three of the most important guidelines in choosing the classes for grouping a quantitative data set.
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