Final Answer:
a) 'Favourite EDM artist' is a categorical variable.
b) A bar graph would be more appropriate to display this data.
c) Display the data using a bar graph.
Step-by-step explanation:
The variable 'favourite EDM artist' is categorical as it represents distinct categories or groups, namely the different artists. Categorical variables are typically represented using bar graphs, making it easier to visualize and compare the frequency or popularity of each category. In this case, each bar would represent a specific EDM artist, and the height of the bar would correspond to the number of students who chose that artist as their favorite.
A histogram, on the other hand, is more suitable for displaying the distribution of a continuous variable, dividing it into intervals or bins. Since the data here involves discrete categories (EDM artists), a bar graph is the preferred choice. The simplicity of a bar graph allows for a straightforward presentation of the count or percentage of students favoring each artist, making it easy for viewers to interpret the popularity of different EDM artists among the surveyed students.
In summary, opting for a bar graph aligns with the nature of the data, providing a clear and concise representation of the students' favorite EDM artists.