11th Statistics - TamilNadu State Board (English Medium)
Chapter 1 : Scope of Statistics and Types of Data
1. Origin and Growth of Statistics
2. Definitions of Statistics
3. Characteristics of Statistics
4. Functions of Statistics
5. Scope and Applications of Statistics
6. Big Data - Applications, Challenges
7. Statistics Variable and Types of Data
8. Measurement Scales - Statistics
Chapter 2 : Collection of Data and Sampling Methods
1. Collection of Data and Sampling Methods - Statistics
2. Categories and Sources of Data - Statistics
3. Methods of collecting primary data - Statistics
4. Secondary data - Collection of Data and Sampling Methods | Statistics
5. Population - Collection of Data and Sampling Methods | Statistics
6. Census Method - Disadvantages | Collection of Data and Sampling Methods | Statistics
7. Sampling method - Definition, Merits, Limitations | Statistics
8. Probability sampling - Various Techniques, Merits, Limitations, Solved Example Problems, Applications
9. Simple random sampling - Various Techniques, Merits, Limitations, Solved Example Problems, Applications
10. Stratified Random Sampling - Merits, Limitations, Solved Example Problems, Applications
11. Systematic Sampling - Merits, Limitations, Solved Example Problems, Applications
12. Non-probability sampling - Merits, Limitations, Solved Example Problems, Applications
13. Convenience Sampling - Merits, Limitations, Applications
14. Snowball Sampling - Merits, Limitations, Applications
15. Judgement Sampling - Merits, Limitations, Solved Example Problems
16. Quota Sampling - Merits, Limitations, Solved Example Problems
17. Sampling and Non-sampling errors
Chapter 3 : Classification and Tabulation of Data
1. Classification of Data
2. Types of Classification - Classification of Data | Statistics
3. Tabulation - Tabulation of Data | Statistics
4. Types of Tables - Statistics
5. Components of a Table - Classification and Tabulation of Data | Statistics
6. Frequency Distribution
7. Cumulative Frequency Distribution
8. Bivariate Frequency Distributions
9. Stem and Leaf Plot (Stem and Leaf Diagram)
Chapter 4 : Diagrammatic and Graphical Representation of Data
1. Meaning and Significance of Diagrams and Graphs - Statistics
2. Rules for Constructing Diagrams - Statistics
3. Types of Diagrams - Statistics
4. Types of Graphs - Solved Example Problems | Statistics
5. Comparison of Tables, Diagrams and Graphs
Chapter 5 : Measures of Central Tendency
1. Measures of Central Tendency - Statistics
2. Definition of Measures of Central Tendency - Statistics
3. Characteristics for a good statistical average - Statistics
4. Various measures of central tendency - Formula, Solved Example Problems
5. Arithmetic Mean - Formula, Solved Example Problems
6. Geometric Mean(GM) - Formula, Solved Example Problems
7. Harmonic Mean (H.M.) - Formula, Solved Example Problems
8. Median - Formula, Solved Example Problems
9. Mode - Formula, Solved Example Problems, Merits, demerits
10. Empirical Relationship among mean, median and mode
11. Partition Measures - Formula, Solved Example Problems | Statistics
12. Quartiles - Definition, Formula, Solved Example Problems
13. Deciles - Definition, Solved Example Problems
14. Percentiles - Definition, Solved Example Problems
Chapter 6 : Measures of Dispersion
1. Measures of Dispersion
2. Characteristics of a good Measure of Dispersion - Statistics
3. Types of measures of dispersion
4. Absolute Measures - Statistics
5. Range - Merits, Limitations, Solved Example Problems | Statistics
6. Inter Quartile Range and Quartile Deviation - Merits, Limitations, Solved Example Problems | Statistics
7. Mean Deviation - Definition, Formula, Solved Example Problems
8. Standard Deviation - Formula, Merits, Limitations, Solved Example Problems
9. Combined Mean and Combined Standard Deviation
10. Relative Measures - Formula, Merits, Limitations, Solved Example Problems
11. Coefficient of Variation - Formula, Merits, Limitations, Solved Example Problems
12. Moments - Statistics
13. Skewness and Kurtosis - Statistics
14. Box plot - Statistics
Chapter 7 : Mathematical Methods
1. Fundamental Principles of counting - Statistics
2. Permutations
3. Combinations - Mathematical Methods
4. Introduction to Binomial, Exponential and Logarithmic series
5. Introduction to Elementary calculus
6. Differentiation - Some rules, Important formulae, Solved Example Problems
7. Integration - Rules, formulae, Solved Example Problems
8. Double integrals - Formula, Solved Example Problems
Chapter 8 : Elementary Probability Theory
1. Elementary Probability Theory
2. Random experiment, Sample space, Sample point
3. Definitions of Probability
4. Axioms of Probability - Theorems, Proof, Solved Example Problems
5. Addition Theorem of Probability
6. Conditional Probability
7. Independent Events - Probability Theory
8. Multiplication Theorem on Probability - Theorems, Proof, Solved Example Problems
9. Bayes� Theorem and its Applications - Theorems, Proof, Solved Example Problems
Chapter 9 : Random Variables and Mathematical Expectation
1. Random Variables and Mathematical Expectation
2. Definition of random variable
3. Discrete and Continuous random variables
4. Probability Mass Function
5. Probability Density Function
6. Distribution function and its properties
7. Joint and marginal probability mass functions
8. Mathematical expectation - Result, Properties, Proof, Solved Example Problems
9. Addition and Multiplication Theorem on Expectations
10. Moments - Definition, Formula, Solved Example Problems
Chapter 10 : Probability Distributions
1. Probability Distributions - Introduction
2. Bernoulli�s Distribution - Definition, Formula, Characteristics
3. Binomial Distribution - Definition, Formula, Conditions, Characteristics, Solved Example Problems
4. Poission Distribution - Definition, Formula, Conditions, Characteristics, Solved Example Problems
5. Rectangular or Uniform Distribution - Definition, Formula, Characteristics, Solved Example Problems
6. Normal Distribution - Definition, Formula, Properties, Solved Example Problems
7. Fitting of Binomial, Poisson and Normal distributions
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