Which type of graph is most appropriate for visually representing a $\mathrm{uniform}\mathrm{distribution}$ of $\mathrm{quantitative}\mathrm{data}$?

• A. $\mathrm{Boxplot}$
• B. $\mathrm{Histogram}$
• C. $\mathrm{Pie}\mathrm{chart}$
• D. $\mathrm{Bar}\mathrm{chart}\mathrm{of}\mathrm{categories}$

Answer: (B)

Verified step by step guidance

1. Understand the nature of the data: Since the data is quantitative and uniformly distributed, it means the values are spread evenly across a range.
2. Recall the purpose of each graph type: A histogram is used to show the frequency distribution of quantitative data by grouping data into bins or intervals.
3. Recognize that a boxplot summarizes data using five statistics (minimum, first quartile, median, third quartile, maximum) and is better for showing data spread and outliers, but not the detailed frequency distribution.
4. Note that a pie chart is designed for categorical data to show proportions of parts to a whole, so it is not suitable for quantitative distributions.
5. Understand that a bar chart of categories is for categorical data, not for continuous quantitative data, so it does not effectively represent a uniform distribution of quantitative data.