Contents

1. Introduction to Statistics

1.1 Introduction

1.2 Definitions

1.3 Functions of Statistics

1.4 Importance

1.5 Scope of Statistics

1.6 Limitations of Statistics

1.7 Classification of Statistics

2. Population and Sample

2.1 Statistical Population

2.2 Census

2.3 Sampling

2.4 Advantages of Sampling

2.5 Sampling Methods

2.6 Simple Random Sampling (SRS)

2.7 Stratified Random Sampling

2.8 Systematic Sampling

2.9 Cluster Sampling

2.10 Multistage Sampling

3. Data condensation and graphical methods

3.1 Introduction

3.2 Classification

3.3 Frequency Distribution

3.4 Methods of Classification

3.5 Cumulative requency distribution

3.6 Guidelines to prepare Frequency Distribution

3.7 Graphical Representation

4. Concepts of central tendency

4.1 Introduction

4.2 Requisites of a Good Average

4.3 Different Averages

4.4 Weighted Arithmetic Mean

4.5 Solved Examples

5. Measures of dispersion

5.1 Introduction

5.2 Significance of Measuring Variation

5.3 Properties of a Good Measure of Dispersion

5.4 Range

5.5 Mean Deviation

5.6 Variance and Standard Deviation

5.7 Relative Measures of Dispersion

6. Correlation and regression

6.1 Introduction

6.2 Simple Correlation

6.3 Scatter Diagram

6.4 Covariance

6.5 Coefficient of Correlation

6.6 Rank Correlation

6.7 Regression Analysis

6.8 Standard Errors

6.9 Correlation and Regression Analysis

7.   Index numbers                                                                                

7.1 Introduction

7.2 Definitions

7.3 Index number as Economic Barometer

7.4 Types of Index Numbers

7.5 Problems in construction of Index Numbers

7.6 Construction of Index Numbers 

8. Probability                                                                                          

8.1 Counting Techniques 

8.2 Fundamental Principle of Counting

8.3 Permutations

8.4 Combinations

8.5 Some Standard Results

8.6 Statement of Binomial Theorem

8.7 Introduction to Probability

8.8 Sample Space and Events

8.9 Algebra of Events

8.10 Classical Approach of Probability

8.11 Axiomatic Approach

8.12 Probability of an Event: Properties

9. Conditional probability and independence

9.1 Introduction

9.2 Conditional probability of A given B

9.3 Partition and Bayes' Theorem

9.4 Concept of Independence