Final answer:
A bar graph is best for comparing the number of projects undertaken by five different students, providing a clear, visual method to distinguish and analyze varying quantities of projects.
Step-by-step explanation:
To compare the number of projects undertaken by five different students, a bar graph would be the most effective. The clear distinction between the lengths of the bars would easily illustrate the differences in project counts for each student. Furthermore, a bar graph is particularly beneficial when showing comparisons, as each bar represents the number or percent of projects undertaken, providing a visual and straightforward way to analyze the data.
When selecting a graph type, consider the fact that a pie chart could be used when representing parts of a whole or percentages, but it is less effective for a direct comparison of quantities which is needed in this case. A Pareto chart would be an appropriate choice only if the projects needed to be displayed in order of frequency or size, which doesn't seem necessary for basic comparison.
Remember, it's important to display the bars in a logical order, ensuring that colors used are clearly distinguishable and the scale is legible, making for an easier interpretation of the data.