In a study of the natural variability of rainfall, the rainfall of summer storms was measured by a network of rain gauges in southern Illinois for the years 1960–1964 (Changnon and Huff, in LeCam and Neyman 1967). The average amount of rainfall (in inches) from each storm, by year, is contained in the files, Illinois60,...,Illinois64.
a. Is the form of the distribution of rainfall per storm skewed or symmetric?
b. What is the average rainfall per storm? What is the median rainfall per storm? Explain why these measures differ, using the results of part (a).
c. You may have read statements like “10% of the storms account for 90% of the rain.” Construct a graph that shows such a relationship for these data.
d. Compare the years using boxplots.
e. Which years were wet and which were dry? Are the wet years wet because there were more storms, because individual storms produced more rain, or for both of these reasons?
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