A tool designed for statistical analysis, it computes the spread of a dataset. Specifically, it determines the difference between the maximum and minimum values (the range) and the difference between the 75th and 25th percentiles (the interquartile range, or IQR). As an illustration, for the dataset [2, 5, 8, 11, 15], the range is 13 (15-2) and, assuming quartiles of 5 and 11, the IQR is 6 (11-5).
Understanding data dispersion is crucial in various fields, including finance, science, and engineering. The range offers a simple, albeit sensitive, measure of variability. The IQR, being less susceptible to outliers, provides a more robust estimate of spread. These calculations have become increasingly important as data analysis plays an integral role in decision-making processes. Historically, these measures were calculated manually, consuming significant time and effort. Automation has greatly improved efficiency and accuracy.