Is response to the question a categorical or numerical variable? The response is a categorical variable. The response is a numerical variable. (b) Explain why a bar chart rather than a dotplot was used to display the response data. Since there are less than 10 possible responses, a dotplot would not be suitable. A dotplot would also be suitable to display the data. Since this is a survey, a dotplot would not be suitable. Since the variable being graphed is categorical, a dotplot would not be suitable. Since the variable being graphed is numerical, a dotplot would not be suitable. (c) There must have been an error made in constructing this graph. How can you tell that the graph is not a correct representation of the response data? The relative frequencies add up to something over 100%. The relative frequencies add up to something under 100%. With five possible responses, none of the responses should have a relative frequency above 20%. With five possible responses, none of the responses should have a relative frequency below 20%. We wouldn't expect the highest response would be to put the money in general savings