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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