To determine the best type of graph to show the breakdown of how the teacher weighs each category, let's examine the options given:
1. Line Graph:
- Line graphs are typically used to show trends over time. This is not suitable for showing the static breakdown of weights.
2. Scatterplot:
- Scatterplots display points on a Cartesian plane, typically used to show relationships between two variables. This does not fit the requirement of showing weights of different categories.
3. Pie Graph:
- Pie graphs are excellent for displaying parts of a whole. They visually represent the proportionate weights of different categories, making it clear how the total 100% is divided among the components.
4. Frequency Distribution:
- Frequency distributions show the number of occurrences of each value in a dataset. This type of graph is not useful for showing weighted proportions of different grading categories.
Given this analysis, the most suitable type of graph to show the breakdown of how the teacher weighs each category is a pie graph. A pie graph effectively represents the percentage allocation of each grading category (Final exam, Quizzes, Class project, and Class participation) in a clear, visual manner that is easy to understand at a glance.
