Which of the following plots is not appropriate for categorical data?

a) dot plot
b) bar graph
c) pie graph
d) segmented bar graph
e) All are appropriate

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To determine which plot is not appropriate for categorical data, let's first understand what categorical data means. Categorical data is data that falls into different categories and cannot be measured on a continuous scale.

Now, let's analyze each plot option:

a) Dot plot: A dot plot represents data using dots. It is commonly used for displaying quantitative data, where each dot represents an observation. However, it can also be used for displaying categorical data, where each dot represents a category, making it an appropriate choice.

b) Bar graph: A bar graph is a common choice for displaying categorical data. It uses vertical or horizontal bars to represent different categories and their respective frequencies or proportions. This plot is often used to compare the different categories and is an appropriate choice for categorical data.

c) Pie graph: A pie graph, also known as a pie chart, is a circular plot divided into slices to represent different categories. Each slice represents the proportion of the whole that each category represents. Pie graphs are most commonly used for illustrating relative proportions of different categories in a whole. They are an appropriate choice for categorical or qualitative data.

d) Segmented bar graph: A segmented bar graph, also known as a stacked bar graph, is a variation of a regular bar graph. It uses vertical or horizontal stacked bars to represent different categories. Each segment within the bars represents a sub-category, and the lengths of the segments indicate the frequency or proportion of each sub-category. Segmented bar graphs are appropriate for displaying categorical data with sub-categories.

Based on the analysis, all the provided plot options (a, b, c, and d) are appropriate for representing categorical data. Therefore, the correct answer is option e - all are appropriate for categorical data.