Using the numerical approach one might compute statistics such as the mean and standard deviation. These statistics convey information about the average degree of shyness and the degree to which people differ in shyness. Using the graphical approach one might create a stem and leaf display and a box plot. These plots contain detailed information about the distribution of shyness scores. Graphical methods are better suited than numerical methods for identifying patterns in the data.
Numerical approaches are more precise and objective.
Since the numerical and graphical approaches compliment each other, it is wise to use both.