Q R1.1. - The Practice of Statistics for AP

Question

Hit movies According to the Internet Movie Database, Avatar is tops based on box office sales worldwide. The following table displays data on several popular movies.

(a) What individuals does this data set describe?

(b) Clearly identify each of the variables. Which are quantitative? In what units do you think they are measured?

(c) Describe the individual in the highlighted row.

•  Make a bar graph of the distribution of a categorical variable

or, in general, compare related quantities.

•  Recognize when a pie chart can and cannot be used.

Step-by-Step Solution

Answer

Part (a) INDIVIDUALS = Movies (The Dark Knight, Avatar, Pirates of the Caribbean, Titanic, Lord of the Rings)

Part (b) QUANTITATIVE VARIABLES = Box office, time (in minutes).

Part (c) The person in the highlighted segment is the Avatar movie.

Part (a) Step 1: Given information

Individuals are the items that a piece of data describes. Individuals can be humans, animals, or inanimate objects. Individuals are Movies in this database, which is about Movies. 

Movies	Year	Rating	Time	Genre	Box office
Avatar	2009	PG-13	162	Action	2714767458
Titanic	1997	PG-13	194	Drama	1835300000
The lord of the rings: The return of the king	2003	PG-13	201	Action	1129219252
Dead Man's chest	2006	PG-13	151	Action	1060332628
The dark knight	2008	PG-13	152	Action	1001921825

Part (a) Step 2: Concept

Data Analysis, Statistics, and Probability introduce statistics as a problem-solving process. 

Part (a) Step 3: Explanation

Individuals are the objects that the data collection represents.

INDIVIDUALS = Movies (The Dark Knight, Avatar, Pirates of the Caribbean, Titanic, Lord of the Rings)

Part (b) Step 1: Explanation

The things being tested are the variables.

VARIABLES = title, genre, box office, year, time, and rating of the film

Categorical variables classify entities, whereas a numerical variable is a quantitative variable.

CATEGORICAL VARIABLES = Order, Genre, Film, Year, etc.

BOX OFFICE, TIME = QUANTITATIVE VARIABLES (in minutes).

Part (c) Step 1: Explanation

Bar chart for different categorical data. 

The character in the highlighted portion is from the film Avatar.

The film was released in $2009$.

The film has a $PG-13$ rating.

The movie is $162$ minutes long.

The film is an action thriller.

The film grossed $\$2,714,767,458$ at the box office.