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Chapter 2: Q. 3 (page 88)

For a qualitative data set, what is a

a. frequency distribution?

b. relative-frequency distribution?

Short Answer

Expert verified

(a) The frequency distribution shows the frequency of all conceivable values.

(b) The relative frequency distribution shows the relative frequency of all conceivable values.

Step by step solution

01

Part (a) Step 1: Concept introduction

Data that approximates and characterizes is defined as qualitative data. It is possible to observe and record qualitative data.

02

Part (a) Step 2: Explanation

In statistics, a frequency distribution means a graph or table that indicates the frequency of various outputs in a sampling. Each table row contains the frequency or number of instances of data within a given group or interval.

03

Part (b) Step 1: Concept introduction

The descriptive and conceptual findings gathered through surveys, interviews, or observation are referred to as qualitative data.

04

Part (b) Step 2: Explanation

A relative frequency distribution, which would be related to a probability distribution and is widely used in statistics, depicts the percentage of the total set of measurements connected with each value or class of values.

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Most popular questions from this chapter

The Beatles. In the article, "Length of The Beatles" Songs" (Chance, Vol. 25, No, 1, Pp. 30-33), T. Koyama discusses aspects and interpretations of the lengths of songs by The Beatles. Data on the length, in seconds, of 229 Beatles songs are presented on the WeissStats site.

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.

Number of Cars. The number of automobiles per family

In this case, decide which type of grouping (single-value, limit or cutpoint is probably the best.

Answer true or false to each of the statements in parts (a) and (b), and explain your reasoning.

a. Two data sets that have identical frequency distributions have identical relative-frequency distributions.

b. Two data sets that have identical relative-frequency distributions have identical frequency distributions.

c. Use your answers to parts (a) and (b) to explain why relative frequency distributions are better than frequency distributions for comparing two data sets.

Number of Bedrooms. The number of bedrooms per single-family dwelling.

In this case, decide which type of grouping (single-value, limit, or cutpoint is probably the best.

We have drawn a smooth curve that represents a distribution,

a. Identify the shape of the distirbution with regard to modality.

b. Identify the shape of the distribution with regard to symmetry (or non symmetry)

c . If the distribution is unimodal and non symmetric, classify it as either right skewed or left skewed.
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