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Chapter 1: Problem 18

Classify the variable as qualitative or quantitative. Number on a football player's jersey

Short Answer

Expert verified
The number on a football player's jersey is a qualitative variable.

Step by step solution

01

Understand the definition of qualitative and quantitative variables

A qualitative variable, also known as a categorical variable, is a variable that describes a category or a quality of something. Examples include colors, labels, or any attribute that cannot be measured numerically. A quantitative variable is numerical and can be measured. It represents quantities or amounts and can be divided into discrete (countable, such as the number of students) or continuous (measurable, like height or weight) variables.
02

Identify the type of data given

Look at the data, which in this case is the number on a football player's jersey. Jerseys are assigned numbers mainly for identification purposes.
03

Analyze the purpose of the data

The number on a football player's jersey is used to identify players rather than to measure or count something. It represents a label rather than a measurable quantity.
04

Classify the variable

Since the jersey number is used for identification (categorical) and not for measurement, it is a qualitative variable.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Qualitative Variable
A qualitative variable describes a non-numerical characteristic or category. For example, the number on a football player's jersey fits in this category. This number helps in identifying players but doesn't measure or count anything directly. Other examples include colors, shapes, and types of cuisine. These variables are essential in categorizing and organizing data that cannot be represented numerically.
Qualitative variables are also known as categorical variables because they place data into distinct groups. This type of data is crucial in areas such as surveys and market research where understanding categories and their frequencies is more important than measuring quantities.
Quantitative Variable
Quantitative variables are numerical and measure quantities or amounts. These variables can be broken down into two types:
  • Discrete variables: These are countable, like the number of students in a classroom or the number of cars in a parking lot.
  • Continuous variables: These can take any value within a range, like height, weight, or temperature.
Both types of quantitative variables play a critical role in statistical analysis by allowing us to perform mathematical calculations and derive meaningful insights about data. For instance, calculating the average (mean) height of a group of people requires continuous quantitative data.
Categorical Data
Categorical data is used to represent qualitative variables, grouping information into categories that help in organizing and analyzing data patterns. These categories can be either nominal or ordinal.

Nominal data has categories without a specific order, such as types of fruits or brands of smartphones. Ordinal data includes categories with a defined order, like rankings in a race or levels of satisfaction (e.g., satisfied, neutral, dissatisfied). Understanding categorical data helps in various analytical processes like creating pie charts or bar graphs and in making data comparisons based on groupings rather than numerical values.

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Most popular questions from this chapter

Research a survey method used by a company or government branch. Determine the sampling method used, the sample size, the method of collection, and the frame used.

Identify the type of sampling used. A school official divides the student population into five classes: freshman, sophomore, junior, senior, and graduate student. The official takes a simple random sample from each class and asks the members' opinions regarding student services.

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