The general manufacturer of the automobile each student drove was recorded by the statistics professor. The resulting frequencies were: Dodge = 8, Ford = 12, General Motors = 17, Toyota = 21, Volvo = 4, and “Other” = 14. If the resulting distribution of the number of times each auto type each student drove was represented with a graph, what kind of graph would be most appropriate?

Question

The general manufacturer of the automobile each student drove was recorded by the statistics professor. The resulting frequencies were: Dodge = 8, Ford = 12, General Motors = 17, Toyota = 21, Volvo = 4, and “Other” = 14. If the resulting distribution of the number of times each auto type each student drove was represented with a graph, what kind of graph would be most appropriate?

Answer 1

To determine the most appropriate graph to represent the distribution of the number of times each auto type was driven, we need to consider the nature of the data and the options available for visualization.

In this case, the data represents categorical variables (car manufacturers) and their corresponding frequencies. When dealing with categorical data, a common choice for displaying frequency distributions is a bar graph.

A bar graph consists of rectangular bars, where the length of each bar represents the frequency or count of a particular category. Each category is represented along the x-axis, and the height of the bars represents the frequency or count on the y-axis.

Since we have six different car manufacturers in the data, we would have six bars representing each manufacturer's frequency. The x-axis would represent the car manufacturers, and the y-axis would represent the frequency count.

Therefore, a bar graph would be the most appropriate graph to represent the distribution of the number of times each auto type was driven in this scenario.