Chapter 1.2, Problem 48E

At the movies: The following table provides information about the top grossing movies of all time.

1. Which of the columns represent qualitative variables?
2. Which of the columns represent quantitative variables?
3. Which of the columns represent nominal variables?
4. Which of the columns represent ordinal variables?

To determine

To identify:the columns that represent qualitative variables.

Answer to Problem 48E

The columns Movie Title and Genre represent qualitative variables.

Explanation of Solution

Given information:

Movie Title	Release Year	Genre	Ticket Sales (millions of $)	Running Time (minutes)
1. Star Wars Episode VII: The Force Awakens	2015	Adventure	936	136
2. Avatars	2009	Action	761	162
3. Titanic	1997	Historical Fiction	659	194
4. Jurassic World	2015	Action	652	124
5. The Avengers	2012	Adventure	623	143
6. The Dark Knight	2008	Action	533	152
7. Star Wars Episode I: The Phantom Menace	1999	Adventure	475	133
8. Star Wars Episode IV: A New Hope	1977	Adventure	461	119
9. Avengers: Age of Ultron	2015	Action	459	141
10. The Dark Knight	2012	Action	448	164

Concept Involved:

There are various methods of collecting information by sampling. Once the information has been collected, the collection is called a data set. Variables can be divided into two types: qualitative and quantitative. Qualitative variables are also called categorical variable, classify individuals into categories. Quantitative variables are numerical and tell how much of something there is.

Qualitative variables come in two types: ordinal variables and nominal variables.

Ordinal variables are qualitative variables whose categories have a natural ordering.

Nominal variables are qualitative variables whose categories have no natural ordering.

Quantitative variables can be either discrete or continuous.

Discrete variables are those whose possible values can be listed. Often, discrete variables result from counting something, so the possible values of the variable are 0, 1, 2 and so forth.

Continuous variables can, in principle, take on any value within some interval.

  

The variable which classifies individuals into categories is called qualitative variable, and the variable which provide information about quantity or number of something is quantitative variable. The Movie Title and Genre classifies the top grossing movies of all time.

Therefore, the columns Movie Title and Genre represent qualitative variables.

To determine

To identify:the columns that represent quantitative variables.

Answer to Problem 48E

The columns Ticket Sales (millions of $) and Running Time (minutes) represent quantitative variables.

Explanation of Solution

Given information:

Movie Title	Release Year	Genre	Ticket Sales (millions of $)	Running Time (minutes)
1. Star Wars Episode VII: The Force Awakens	2015	Adventure	936	136
2. Avatars	2009	Action	761	162
3. Titanic	1997	Historical Fiction	659	194
4. Jurassic World	2015	Action	652	124
5. The Avengers	2012	Adventure	623	143
6. The Dark Knight	2008	Action	533	152
7. Star Wars Episode I: The Phantom Menace	1999	Adventure	475	133
8. Star Wars Episode IV: A New Hope	1977	Adventure	461	119
9. Avengers: Age of Ultron	2015	Action	459	141
10. The Dark Knight	2012	Action	448	164

Concept Involved:

There are various methods of collecting information by sampling. Once the information has been collected, the collection is called a data set. Variables can be divided into two types: qualitative and quantitative. Qualitative variables are also called categorical variable, classify individuals into categories. Quantitative variables are numerical and tell how much of something there is.

Qualitative variables come in two types: ordinal variables and nominal variables.

Ordinal variables are qualitative variables whose categories have a natural ordering.

Nominal variables are qualitative variables whose categories have no natural ordering.

Quantitative variables can be either discrete or continuous.

Discrete variables are those whose possible values can be listed. Often, discrete variables result from counting something, so the possible values of the variable are 0, 1, 2 and so forth.

Continuous variables can, in principle, take on any value within some interval.

  

The variable which classifies individuals into categories is called qualitative variable, and the variable which provide information about quantity or number of something is quantitative variable. The Tickets Sales (millions of $) and Running Time (minutes) represent how many of something of there is present.

Therefore, these columns represents quantitative variable.

To determine

To identify:the columns that represent nominal variables.

Answer to Problem 48E

The columns Genre represent nominal variables.

Explanation of Solution

Given information:

Movie Title	Release Year	Genre	Ticket Sales (millions of $)	Running Time (minutes)
1. Star Wars Episode VII: The Force Awakens	2015	Adventure	936	136
2. Avatars	2009	Action	761	162
3. Titanic	1997	Historical Fiction	659	194
4. Jurassic World	2015	Action	652	124
5. The Avengers	2012	Adventure	623	143
6. The Dark Knight	2008	Action	533	152
7. Star Wars Episode I: The Phantom Menace	1999	Adventure	475	133
8. Star Wars Episode IV: A New Hope	1977	Adventure	461	119
9. Avengers: Age of Ultron	2015	Action	459	141
10. The Dark Knight	2012	Action	448	164

Concept Involved:

There are various methods of collecting information by sampling. Once the information has been collected, the collection is called a data set. Variables can be divided into two types: qualitative and quantitative. Qualitative variables are also called categorical variable, classify individuals into categories. Quantitative variables are numerical and tell how much of something there is.

Qualitative variables come in two types: ordinal variables and nominal variables.

Ordinal variables are qualitative variables whose categories have a natural ordering.

Nominal variables are qualitative variables whose categories have no natural ordering.

Quantitative variables can be either discrete or continuous.

Discrete variables are those whose possible values can be listed. Often, discrete variables result from counting something, so the possible values of the variable are 0, 1, 2 and so forth.

Continuous variables can, in principle, take on any value within some interval.

  

The values are classified into categories in a nominal variable, but no natural ordering is there in categories, whereas, the values are also classified into categories in an ordinary variable but a natural ordering is there in categories.

Therefore, the Genre column has categories but doesn’t have natural ordering.

To determine

To identify:the columns that represent ordinal variables.

Answer to Problem 48E

The column Movie Title represent ordinal variables.

Explanation of Solution

Given information:

Movie Title	Release Year	Genre	Ticket Sales (millions of $)	Running Time (minutes)
1. Star Wars Episode VII: The Force Awakens	2015	Adventure	936	136
2. Avatars	2009	Action	761	162
3. Titanic	1997	Historical Fiction	659	194
4. Jurassic World	2015	Action	652	124
5. The Avengers	2012	Adventure	623	143
6. The Dark Knight	2008	Action	533	152
7. Star Wars Episode I: The Phantom Menace	1999	Adventure	475	133
8. Star Wars Episode IV: A New Hope	1977	Adventure	461	119
9. Avengers: Age of Ultron	2015	Action	459	141
10. The Dark Knight	2012	Action	448	164

Concept Involved:

There are various methods of collecting information by sampling. Once the information has been collected, the collection is called a data set. Variables can be divided into two types: qualitative and quantitative. Qualitative variables are also called categorical variable, classify individuals into categories. Quantitative variables are numerical and tell how much of something there is.

Qualitative variables come in two types: ordinal variables and nominal variables.

Ordinal variables are qualitative variables whose categories have a natural ordering.

Nominal variables are qualitative variables whose categories have no natural ordering.

Quantitative variables can be either discrete or continuous.

Discrete variables are those whose possible values can be listed. Often, discrete variables result from counting something, so the possible values of the variable are 0, 1, 2 and so forth.

Continuous variables can, in principle, take on any value within some interval.

  

The values are classified into categories in a nominal variable, but no natural ordering is there in categories, whereas, the values are also classified into categories in an ordinary variable but a natural ordering is there in categories. The variable movie title classifies the top grossing movies of all time.

Therefore, column Movie Title represents ordinal variables.