1.3 Representing a Categorical Variable with Tables

• Frequency tables provide a concise way to summarize and visualize the distribution of a categorical variable.


  True
• Match the type of categorical variable with its example:

  Nominal ↔️ Gender (male, female)

  Ordinal ↔️ Satisfaction level
• Nominal variables represent unordered categories without any inherent ranking
• Match the color with its frequency from the given frequency table:

  Red ↔️ 8

  Blue ↔️ 7

  Green ↔️ 5
• Steps to create a relative frequency table:

  1️⃣ Calculate the total count across all categories

  2️⃣ Divide the frequency of each category by the total count

  3️⃣ Express the relative frequencies as percentages
• Relative frequency tables display the proportion or percentage of the total that each category represents
• Relative frequency tables allow you to easily compare the proportions of each category and understand the overall distribution
• Bar charts are ideal for comparing frequencies, while pictograms are more intuitive for non-numerical audiences.


  True
• Ordinal variables have categories that follow a meaningful order or sequence
• What does a frequency table summarize for categorical data?

  Count of each category
• The relative frequencies in a relative frequency table are expressed as percentages
• Relative frequency tables allow easy comparison of the proportions of each category.

  True
• Match the visualization with its description:

  Bar Charts ↔️ Display frequency as vertical bars

  Pictograms ↔️ Use icons or symbols to represent data
• Relative frequency tables are less intuitive for absolute counts compared to frequency tables.


  True
• A frequency table typically has two columns: Category and Frequency
• The key difference between nominal and ordinal variables is that ordinal variables have a natural order
• Frequency tables provide a concise way to summarize the distribution of a categorical variable.


  True
• Ordinal variables have categories that follow a meaningful order or sequence.


  True
• Relative frequency tables display the proportion or percentage
• Relative frequencies are expressed as percentages.


  True
• What is the relative frequency of 'Red' in the given example frequency table?

  0.4 or 40%
• What are pictograms particularly useful for?

  Engaging non-numerical audiences
• What is an example of a nominal categorical variable?

  Gender
• Match the type of categorical variable with its definition:

  Nominal ↔️ Represents unordered categories

  Ordinal ↔️ Categories follow a meaningful order
• What does a relative frequency table display instead of just the count or frequency of each category?

  Proportion or percentage
• What are two common ways to visually represent categorical data?

  Bar charts and pictograms
• In a pie chart, the size of each slice is proportional to the category's percentage
• What is a categorical variable?

  Variables representing categories
• What are the two types of categorical variables?

  Nominal and ordinal
• What does a frequency table display for each category?

  The count
• Give an example of a nominal variable.

  Favorite color
• What is the correct order for categories in a frequency table for ordinal variables?

  Natural order
• How do you calculate the relative frequency of a category in a frequency table?

  Frequency divided by total count
• Steps to create a relative frequency table

  1️⃣ Calculate the total count across all categories

  2️⃣ Divide the frequency of each category by the total count

  3️⃣ Express the relative frequencies as percentages
• Match the visualization with its description:

  Bar Charts ↔️ Display frequencies as vertical bars

  Pictograms ↔️ Use icons to represent frequencies
• Categorical variables take on values representing categories or groups, rather than numerical measurements
• Ordinal variables have a natural order, while nominal variables do not.


  True
• Relative frequency tables display the proportion or percentage of the total that each category represents
• Steps to create a relative frequency table

  1️⃣ Calculate the total count across all categories

  2️⃣ Divide the frequency of each category by the total count to get the relative frequency

  3️⃣ Express the relative frequencies as percentages
• When is a pie chart more useful than a bar chart or pictogram?

  Visualizing overall distribution