In order to determine which types of plots can be used to represent data with a discrete x-axis, we first need to understand what we mean by discrete data. Discrete data is information that can only take certain values and not others. For example, the number of students in a classroom is a type of discrete data, as you cannot have a partial student.
Following are the types of plots that can be used to appropriately represent a set of data with a discrete x-axis:
1. Bar Plot: A bar plot is a chart that presents categorical data with rectangular bars with heights or lengths proportional to the values that they represent. Each bar corresponds to a category of data. This is an apt plot for discrete data as it reflects clear individually separated values along the x-axis.
2. Pie Chart: Pie charts are best to use when you are trying to compare parts of a whole. In the context of discrete data, each slice of the pie can represent a distinct category.
3. Dot Plot: In dot plots, each individual observation is represented by one dot. They are perfect for discrete x-axis data as each variant will have its own dot.
4. Stem and Leaf Plot: This is another effective way to represent quantitative data that are measured on an ordinal scale. It gives a visual view of the distribution of data and is perfect for discrete data because it lists out all distinct values in the dataset.
Therefore using bar plot, pie chart, dot plot, and stem and leaf plot for discrete x-axis data yields accurate and effective visualizations of the information you want to reflect.