Notes: Stat 1.1 Analyzing Categorical Data

Multiple Choice

Which of the following is a key skill you should develop when analyzing categorical data?

• Making and interpreting bar graphs

• Solving quadratic equations

• Drawing scatter plots for numerical data

• Calculating the mean of continuous data

Multiple Choice

Which of the following is an example of a categorical variable from the data table?

• Height (cm)

• Wrist circumference (mm)

• Preferred communication

• Number of languages spoken

Multiple Choice

Which methods can be used to display the distribution of categorical data, as shown in the slides?

• Bar graph and pie chart

• Histogram and scatterplot

• Line graph and dot plot

• Boxplot and stem plot

Multiple Choice

Which of the following is NOT a good practice when creating bar graphs?

• Using simple bars

• Replacing bars with pictures

• Keeping scales consistent

• Displaying frequency or percent

Multiple Choice

What is a two-way table used for when analyzing data involving two categorical variables?

• To summarize data on the relationship between two categorical variables

• To display only one variable at a time

• To calculate averages of numerical data

• To show only totals without categories

Multiple Select

Select all statements that are true about marginal relative frequency based on the two-way table.

• It gives the proportion for one categorical variable.

• It is calculated using row or column totals.

• It shows the relationship between two variables directly.

• It is always expressed as a percentage.

Multiple Choice

Which of the following values represents the marginal relative frequency of individuals who have never used a snowmobile?

• 657/1526

• 445/657

• 305/1526

• 497/1526

Multiple Choice

What is the marginal relative frequency of people who have never used a snowmobile in the sample?

• 43.1%

• 37.6%

• 19.3%

• 80.0%

Multiple Choice

Which of the following best describes a marginal relative frequency?

• It gives the percent or proportion for one categorical variable.

• It gives the percent or proportion for two categorical variables.

• It gives the total number of individuals in a sample.

• It gives the difference between two variables.

Multiple Select

Which of the following are examples of joint relative frequencies from the table?

• Proportion of people who are environmental club members and own snowmobiles

• Proportion of people who have never used a snowmobile

• Proportion of people who rent snowmobiles and are not environmental club members

• Proportion of people who are environmental club members

Multiple Choice

What percent of people in the sample are environmental club members and own snowmobiles?

• 1.0%

• 10.0%

• 0.8%

• 20.0%

Multiple Choice

What is a joint relative frequency in the context of analyzing two categorical variables?

• The total number of individuals in a sample

• The percent or proportion of individuals with a specific value for one categorical variable and a specific value for another categorical variable

• The average value of a categorical variable

• The difference between two categorical variables

Multiple Choice

What proportion of people in the sample are not environmental club members and never use snowmobiles?

• 0.010

• 0.292

• 0.574

• 0.305

Multiple Choice

Which of the following best describes a conditional relative frequency?

• The percent of individuals with a specific value for one variable among all individuals in the sample

• The percent of individuals with a specific value for one variable among those who share the same value of another variable

• The total number of individuals in a category

• The sum of all frequencies in a table

Multiple Select

Select all statements that are true based on the snowmobile use and environmental club membership table.

• Most snowmobile owners are not environmental club members.

• The majority of people in the sample have never used a snowmobile.

• All environmental club members are snowmobile owners.

• There are more snowmobile renters than snowmobile owners in the sample.

Multiple Select

What are some key skills you should have after studying Section 1.1 on Analyzing Categorical Data?

• Make and interpret bar graphs for categorical data

• Calculate the mean and median of numerical data

• Identify misleading graphs of categorical data

• Describe the association between two categorical variables