Final answer:
The question involves constructing a histogram and a box plot on the same set of axes to analyze data distribution, with the histogram showing frequency distribution and the box plot providing details on the median, quartiles, and outliers.
Step-by-step explanation:
The student's question pertains to different ways of visualizing data using various types of graphs. Particularly, the question asks for the construction of a box plot and a histogram on the same set of axes, which are powerful tools in statistical analysis to display the distribution of data.
To create a histogram, one would need to organize the data into intervals (or bins) and count the frequency of data points within each interval. The height of each bar in the histogram represents the frequency of data within the respective intervals. When creating a box plot, also known as a box-and-whisker plot, it displays the median, quartiles, and potential outliers in the dataset, providing a succinct snapshot of the distribution.
When these two graphs are placed on the same set of axes, the histogram offers a view of the data's distribution, including modes and skewness, whereas the box plot provides quick insights into the data's center, spread, and outliers.