As you create your plots and perform your exploration, make sure that you pay attention to what the plots tell you that go beyond just the basic descriptive statistics. Note any aspects of the data like the number of modes and skew, and note the presence of outliers in the data for further investigation.
Related to the latter point, you might need to change the limits or scale of what is plotted to take a closer look at the underlying patterns in the data. Let's see a few examples.