Question

ap statistics 1.1 practice
name kymberly ap

1. a sports analyst collects information about all 30 major league baseball teams, recording which league (american league or national league), stadium capacity, number of wins last season, and whether or not the team reached the playoffs last season.

a. identify the individuals.
b. which variables are quantitative?
c. which variables are categorical?

1. the 481 top - grossing movies in a recent year were classified by the genre of the movie. the results are shown in the table.

genre of movie drama documentary comedy action thriller horror other
frequency 144 79 58 54 47 39 60
a. identify the variable. is it quantitative or categorical?
b. make a bar graph showing relative frequencies.
c. name another type of graph that could be used to display the data.

Explanation:

Step1: Identify individuals in baseball data

Individuals are the entities about which data is collected. Here, the individuals are the 30 major - league baseball teams.

Step2: Identify quantitative variables

Quantitative variables are numerical. In the baseball data, stadium capacity (a number representing the capacity of the stadium) and number of wins last season (a numerical count of wins) are quantitative variables.

Step3: Identify categorical variables

Categorical variables place individuals into groups. In the baseball data, league (American League or National League) and whether or not the team reached the playoffs (yes or no) are categorical variables.

Step4: Identify variable in movie data

The variable in the movie - data is the genre of the movie. It is categorical because it places movies into non - numerical groups (Drama, Documentary, etc.).

Step5: Calculate relative frequencies for bar graph

Total number of movies $n=144 + 79+58 + 54+47+39+60=481$.
Relative frequency of Drama $=\frac{144}{481}\approx0.3$.
Relative frequency of Documentary $=\frac{79}{481}\approx0.16$.
Relative frequency of Comedy $=\frac{58}{481}\approx0.12$.
Relative frequency of Action $=\frac{54}{481}\approx0.11$.
Relative frequency of Thriller $=\frac{47}{481}\approx0.1$.
Relative frequency of Horror $=\frac{39}{481}\approx0.08$.
Relative frequency of Other $=\frac{60}{481}\approx0.12$.

Step6: Name another graph

A pie chart could also be used to display the data as it is suitable for showing the proportion of different categories in a whole.

Answer:

1.
a. The 30 major - league baseball teams.
b. Stadium capacity, number of wins last season.
c. League, whether or not the team reached the playoffs.
2.
a. The variable is the genre of the movie. It is categorical.
b. To make a bar graph:

• The x - axis would have the movie genres (Drama, Documentary, Comedy, Action, Thriller, Horror, Other).
• The y - axis would have the relative frequencies. Plot the relative frequencies for each genre as bars.

c. A pie chart.