A student surveyed 100 fellow students about their favorite sport to watch on television. The student wants to visually compare the data categories. Which type of graphical display should be used?
A) Bar chart
A bar chart is the most suitable graphical display for comparing categorical data, such as favorite sports, as it visually represents the frequency or count of each category using rectangular bars. Each bar's height corresponds to the number of students who chose that sport, facilitating easy comparison across different categories.
A histogram is used to represent the distribution of numerical data by grouping continuous data into bins. Since the question involves categorical data related to students' favorite sports, a histogram is inappropriate as it does not effectively convey comparisons among distinct categories like sports.
A stem-and-leaf plot is useful for displaying quantitative data, particularly for small data sets, by showing the distribution of values while maintaining the original data. However, this method is not suitable for categorical data like favorite sports, as it does not clearly compare different categories.
A scatterplot is designed to show the relationship between two quantitative variables by plotting individual data points on a Cartesian plane. Since the data in this survey is categorical, a scatterplot does not apply, as it cannot effectively illustrate the preferences for different sports.
For visually comparing categorical data, such as students' favorite sports, a bar chart serves as the most effective tool, clearly displaying the number of preferences for each sport. Other graphical displays like histograms, stem-and-leaf plots, and scatterplots do not appropriately represent categorical data, making them unsuitable for this purpose. The bar chart's straightforward visualization allows for quick comparison, making it the ideal choice for the student's survey results.
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