Comprehensive study of dispersion measures including range, quartile deviation, mean deviation, variance, and standard deviation calculations. Explores coefficient of variation for comparing variability between datasets. Covers distribution shape analysis through skewness measures, kurtosis types, and symmetry assessment with practical business applications for consistency and reliability evaluation.
This document covers detailed exploration of central tendency measures including arithmetic, geometric, and harmonic means with calculation methods and real-world applications. Covers median determination, quartiles, deciles, percentiles, and mode identification. Provides comprehensive comparison of when to use each measure, their merits and limitations, with practical illustrations for business decision-making scenarios.
Comprehensive introduction to quantitative techniques covering historical development from Fredrick Taylor’s scientific management principles. Explores statistical analysis fundamentals including data types, sampling methods, frequency distributions, and data presentation techniques. Covers primary/secondary data collection, various sampling approaches, classification methods, and graphical presentation tools including histograms, charts, and diagrams.
This document introduces the concept of duality in linear programming—linking primal and dual problems for enhanced managerial insights. Explains the significance of shadow prices, rules for converting problems, and the economic impact of resource changes. Provides stepwise dual formation and real-world dual analysis examples.
This document focuses on special solution conditions in the simplex method like degeneracy, unboundedness, multiple optima, and infeasibility. Teaches sensitivity analysis, shadow price interpretation, and practical application through complex real-world case studies, strengthening understanding of LPP solutions under varied scenarios.