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SMA 160: Probability & Statistics I

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This module introduces statistical methods as applied to collecting, tabulating, analyzing, presenting, and interpreting data. Topics covered include frequency distributions, measures of central tendency, measures of dispersion, elementary probability theory, regression and correlation. This is a basic course for students in business, behavioral and social science and is part of the foundation for all Probability and Statistics courses in later years. The purpose of this module is to introduce the student to statistics in a way that will make the student aware of the techniques of statistics as they apply to the solutions of practical problems in various fields. The module will be presented with particular attention to statistical vocabulary, problem solving, and point of view. The module is made up of eight units. Unit one introduces the concept of statistics, justifies the study of statistics and discusses some of the areas where statistics is applied. Unit two explores the graphical and tabular representation of data. Various methods of data summarization and interpretation of statistical graphs, charts and tables are considered. Units three and four explore numerical methods for ordering and presenting quantitative data. Whereas Unit three considers the measures of location, Unit four discusses the spread or variation within data. The symmetry and the peakedness of the distribution of a sample or population are considered in Unit five where description of the shape of the distribution is looked at. Units six and seven attend to the problem of Bivariate data with the former addressing the question of the degree and strength of relationship between two data sets and the latter dealing with the issue of prediction of one variable given the other. The last unit; that is, Unit eight considers the problem of chance/uncertainty mathematically. Here the concept of probability and its application in real life is dealt with. The revision exercises at the end of each of units 2-8 ensure that the student has grasped the subject matter of the unit.


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