Basic Concepts and Definitions of: Statistics, Population, Sample, Data, Parameter, Variable.
Organizing and displaying data:
-Organizing data, Displaying grouped frequency distributions, Quantitative Data, Qualitative Data.
- Graphically Displaying: Histogram, Polygon, Curve, Cumulative Frequency Curve.
Measures of central tendency:
Introduction, Summation Symbol, Mean, Weighted Mean, Median, Mode, Quartile, Percentile.
Measures of dispersion:
Introduction, Range, Semi-Inter-Quartile Range, Variance, Standard Deviation, Coefficient of Variation, Chebychev Inequality, Standard Scores(Values).
Principal counting laws, Permutations, Combinations, Applications.
Principles of Probability:
-Introduction: Random Experiment, Sample Space, Events, Algebra of Events (Union, Intersection, Complement, Disjoint).
-Probability: Definition, Axioms of Probability, Conditional Probability, Conditional Probability, Independent events, Bayes’ Theorem.
Random Variables and Probability Distributions:
Introduction, Random Variable,
-Discrete Random Variable, Probability distribution, Expected Value(Mean) of a Random Variable, Variance of a Random Variable, Binomial Distribution, Applications.
-Continuous Random Variable, Probability Density Function, Expected Value(Mean), Variance, Normal Distribution, Standard Normal Distribution, Applications.