Which type of data display shows a five-number summary?

Which type of data display shows a five-number summary?

• A. Bar Graph
• B. Pie Chart
• C. Box Plot
• D. Line Graph

Answer: (C)

A box plot, also known as a whisker plot, is specifically designed to depict a five-number summary, which includes the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value. This graphical representation allows for a clear visualization of the data's distribution, variability, and central tendency. The box itself represents the interquartile range (IQR), with the line inside the box marking the median, while the "whiskers" extend to the minimum and maximum values within the dataset. Other data display types do not summarize data in this way. For example, bar graphs and line graphs are used to convey information about frequency and trends over time rather than summarizing distributions in this specific manner. Pie charts illustrate proportions of a whole and do not provide insight into the range or summary statistics necessary for understanding data spread. Thus, the box plot is the only choice that effectively presents a five-number summary.

A box plot, also known as a whisker plot, is specifically designed to depict a five-number summary, which includes the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value. This graphical representation allows for a clear visualization of the data's distribution, variability, and central tendency. The box itself represents the interquartile range (IQR), with the line inside the box marking the median, while the "whiskers" extend to the minimum and maximum values within the dataset.

Other data display types do not summarize data in this way. For example, bar graphs and line graphs are used to convey information about frequency and trends over time rather than summarizing distributions in this specific manner. Pie charts illustrate proportions of a whole and do not provide insight into the range or summary statistics necessary for understanding data spread. Thus, the box plot is the only choice that effectively presents a five-number summary.