Analyzing Categorical Data Segmented Bar Graph

What is a side-by-side bar graph used for?

• Displaying frequencies of one categorical variable

• Comparing the distributions of two categorical variables

• Showing trends over time

• Summarizing numerical data

In a segmented bar graph, how is the data represented?

• Each category has a separate bar

• Each bar is divided into segments representing categories of another variable

• Data is shown as a line graph

• Only totals are represented

What is a mosaic plot?

• A graphical representation that uses colors to show frequencies

• A bar graph that displays only totals

• A graphical display that shows the relative sizes of categories based on frequencies

• A scatter plot for two numerical variables

In a side-by-side bar graph, what does each bar represent?

• A single variable's total frequency

• The frequency of one category compared across different groups

• The overall data set

• The average of two variables

What does a segmented bar graph visually illustrate?

• Total counts for each category

• The proportion of each category within a variable

• The joint frequencies of two categorical variables

• Marginal frequencies only

What key feature distinguishes a mosaic plot from other graphical displays?

• It displays only numerical data

• It represents frequencies using area sizes of rectangles

• It uses line segments to connect points

• It shows only independent variables

In a contingency table, if the joint frequency of Male-Sports is 30 out of a total of 100, what is the joint relative frequency?

• 0.30

• 0.60

• 0.50

• 0.20

Which type of graph is best for visualizing the association between two categorical variables?

• Histogram

• Box plot

• Side-by-side bar graph

• Line graph

When analyzing a mosaic plot, what does the size of each rectangle represent?

• The average value of the variables

• The frequency of the corresponding category

• The total number of observations

• The variance of the data

What is one advantage of using a segmented bar graph over a regular bar graph?

• It shows more data points

• It allows for easy comparison of proportions within categories

• It only represents one variable

• It is easier to read