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Data visualization is a powerful tool for understanding and interpreting data. It transforms raw numbers into visual formats, making patterns and insights more accessible and easier to comprehend.
One common form of data visualization is the stem-and-leaf plot. This plot allows us to see the shape of a distribution while maintaining the original data values. It organizes data based on place value, highlighting frequency and helping identify clusters or outliers.
The psychologist's new intelligence test scores are perfect candidates for a stem-and-leaf plot, showcasing how easily this simple method can offer a snapshot of the data's distribution.

Descriptive statistics involve summarizing or describing a set of data. They provide simple summaries in terms of central tendency, variability, and distribution shape.
When you look at a stem-and-leaf plot, you're viewing a type of descriptive statistics. It visually summarizes the data, helping you quickly spot the central tendency and variation. In the psychologist’s 20 test scores, descriptive statistics, such as the mean, median, and range, can be inferred from the plot.
These values help in understanding the spread and center of the intelligence scores, offering a first look at how the individuals performed as a group.

Statistical graphs are essential for representing data in a meaningful way. They simplify complex data sets, making it easy to extract insights at a glance. Different types of graphs serve various purposes depending on the data's nature and the information sought.
Stem-and-leaf plots, as statistical graphs, offer a compact way to display quantitative data. These plots retain actual data values which allow for direct interpretation without losing granularity, unlike some other graphical representations.
In the context of the psychologist's test scores, this type of graph provides a clear view of the distribution and can help identify patterns that might be crucial for further psychological or educational interpretation.