Uses of histograms, box plots, and scatterplots are explained, as well as meanings of mean, median, quartiles, and outliers in statistical parlance. Probability Random phenomena have unpredictable outcomes that nonetheless follow a predictable pattern after many repetitions. Subjects covered in this show are sampling distribution, normal curves, standard deviation, expected value, and central limit theorem. Statistical Inference Formal statistical inference, as opposed to exploratory data analysis, is based on calculations of probability. The issues surrounding individual choices are analyzed by game theory, one of the important developments of 20th-century mathematics.
Collective choice is analyzed using election theory, weighted voting, and apportionment.
An explanation of Kenneth Arrow's theorem on voting theory is also featured. Weighted voting and winning coalitions are also explained. Games of Conflict Game theory deals with strategies employed by parties with conflicting needs. Overview Geometry and its relationship to natural beauty and art are explored and analyzed. Tensile strength of building materials and their relationship to maximum size of a structure are explained, and changes in size and proportion are discussed.