Which of the following traits do histograms possess?

• A. They use non-adjacent bars to represent categories of a qualitative variable.
• B. They show the relationship between two quantitative variables using points on a coordinate plane.
• C. They summarize data using slices of a circle to represent proportions of categories.
• D. They display the distribution of a quantitative variable using adjacent bars to represent frequency intervals.

Answer: (D)

Verified step by step guidance

1. Understand that a histogram is a graphical representation used to display the distribution of a quantitative variable.
2. Recognize that histograms use adjacent bars (no gaps between bars) to represent frequency intervals or bins of the quantitative data.
3. Note that each bar's height corresponds to the frequency or count of data points within that interval.
4. Differentiate histograms from bar charts, which use non-adjacent bars to represent categories of qualitative variables.
5. Recall that other graphs mentioned, such as scatterplots and pie charts, serve different purposes: scatterplots show relationships between two quantitative variables, and pie charts display proportions of categories.