This revised text introduces and explains the statistical methods used to describe, analyze, test and forecast atmospheric data. It will be useful to scientists, students, and other professionals who seek to make sense of the scientific literature in meteorology, climatology, or other geophysical disciplines, or to understand and communicate what their atmospheric data sets have to say. The chapters cover exploratory data analysis, probability distributions, hypothesis testing, statistical weather forecasting, forecast verification, time series analysis and multivariate data analysis. Worked examples, exercises, and illustrations facilitate understanding of the material; an extensive and current list of references allows the reader to pursue topics in greater depth.