An instructor asked students to name their favorite color. An appropriate graph to display the data is a...
A) histogram
B) pie chart
C) time plot
D) rainbow chart, because who doesn't love all the colors of the rainbow?! 🌈
But in all seriousness, B) pie chart would be the most appropriate choice here. It will show the different colors and the proportion of students who chose each color in a clear and concise manner. Just don't forget to bring some pie to class too!
B) pie chart
A pie chart is an appropriate graph to display categorical data, such as favorite colors, where each category is represented as a slice of the pie. The size of each slice represents the proportion or percentage of people who chose that particular color as their favorite.
To determine the appropriate graph to display the data on the favorite colors of the students, we need to consider the nature of the data and the purpose of the display.
In this case, the data is categorical, as the students were asked to name their favorite color. Categorical data consists of distinct categories or groups, rather than numerical values.
The purpose of the display is to show the distribution of the favorite colors among the students.
Based on these considerations, the most suitable graph to represent this data would be a pie chart. Pie charts are ideal for displaying categorical data as they represent the proportion of each category in relation to the whole. Each category of favorite color can be represented by a separate slice of the pie, with the area of each slice corresponding to the proportion of students who chose that particular color as their favorite.
Therefore, the correct answer is B) pie chart.