1. Permutation and Combination • Introduction • Permutations and Combinations 2. Vectors • Introduction • Types of Vectors 3. Matrices • Introduction • Types of Matrices 4. Differentiation • Introduction • Maxima and Minima 5. Integration • Introduction 6. Applications to Economics • Revenue Functions • Cost Functions • Profit Functions • Elasticity of Demand • Break Even Point Section Two 1. Introduction • Dimension of Statistics • Definition of Statistics in terms of Numerical Data • Functions of Statistics • Scope of Statistics • Limitations of Statistics • Distrust of Statistics 2. Organization of Data • Collection of Data • Primary and Secondary Data • Collection of Primary and Secondary Data • Classification of Data • Functions of Classification • Types of Classification • Different Kinds of Classification • Formation of Statistical Series • Frequency Distribution • Tabulation of Data • Objective of Tabulation • Classification and Tabulation • The Parts of a Table • Types of Tables 3. Diagrammatical and Graphical Representation of Data • Introduction • Advantages • Limitations • Type of Diagram • Graph 4. Measures of Central Tendency • Introduction • Characteristics of an Ideal Average • Averages • The Mean (Arithmetic Mean) • Short cut Method • Merits and Demerits of Mean • Median • Computation of Median • Graphical Method • Merits and Demerits of Median • Mode • Unimodal • Bi-Modal Series • Empirical Formula 5. Measures of Dispersion • Introduction • Measures of dispersion • Characteristics for an Ideal Measure of Dispersion • Range • Co-efficient of Range • Quartile Deviation • Mean Deviation • Co-efficient of Mean Deviation • Standard Deviation 6. Correlation Analysis • Introduction • Types of Correlation • Scatter Diagram • The Co-Variance • The Correlation Co-efficient • Portable Error and its Significance • Spearman’s Rank correlation • Repeated Ranks 7. Regression Analysis • Introduction • Regression • Line of Regression • Least Square Method • Regression co-efficient • Relationship between Regression Co-efficient ‘b’ and Correlation Co-efficient ‘r’ • Properties of Regression Co-efficient • Distinction between correlation and Regression Analysis 8. Time Series • Introduction • Time Series • Variations in Time Series (Components of Time Series) • Trend Analysis • Reason for Studying Trend • Fitting the Linear Trend by the Least Square Method 9. Interpolation and Extrapolation • Introduction • Interpolation • Distinction between Interpolation and Extrapolation • Assumption • Significance of Interpolation and Extrapolation • Methods of Interpolation
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