Final answer:
To match histograms and boxplots, analyze the shape, center, spread, and outliers of each graph and compare them.
Step-by-step explanation:
The student is asked to match three histograms (labeled x, y, and z) with three boxplots (labeled a, b, and c) and explain the reasoning behind the matching. To do this, the student should carefully analyze the shape, center, spread, and outliers of each histogram and compare it to the corresponding boxplot. By considering these characteristics, the student can determine which histogram matches with each boxplot.