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## Department: Important Questions, Answers TamilNadu State Board

**Statitstics 11th std**

## Online Study Material, Lecturing Notes, Assignment, Reference, Wiki and important questions and answers

**Chapter 1 Scope of Statistics and Types of Data**

** -:- ** Origin and Growth of Statistics ** -:- ** Definitions of Statistics ** -:- ** Characteristics of Statistics ** -:- ** Functions of Statistics ** -:- ** Scope and Applications of Statistics ** -:- ** Big Data ** -:- ** Statistics Variable and Types of Data ** -:- ** Measurement Scales**Chapter 2 Collection of Data and Sampling Methods**

** -:- ** Collection of Data and Sampling Methods ** -:- ** Categories and Sources of Data ** -:- ** Methods of collecting primary data ** -:- ** Secondary data ** -:- ** Population ** -:- ** Census Method ** -:- ** Sampling method ** -:- ** Probability sampling ** -:- ** Simple random sampling ** -:- ** Stratified Random Sampling ** -:- ** Systematic Sampling ** -:- ** Non-probability sampling ** -:- ** Convenience Sampling ** -:- ** Snowball Sampling ** -:- ** Judgement Sampling ** -:- ** Quota Sampling ** -:- ** Sampling and Non-sampling errors**Chapter 3 Classification and Tabulation of Data**

** -:- ** Classification of Data ** -:- ** Types of Classification ** -:- ** Tabulation ** -:- ** Types of Tables ** -:- ** Components of a Table ** -:- ** Frequency Distribution ** -:- ** Cumulative Frequency Distribution ** -:- ** Bivariate Frequency Distributions ** -:- ** Stem and Leaf Plot (Stem and Leaf Diagram)**Chapter 4 Diagrammatic and Graphical Representation of Data**

** -:- ** Meaning and Significance of Diagrams and Graphs ** -:- ** Rules for Constructing Diagrams ** -:- ** Types of Diagrams ** -:- ** Types of Graphs ** -:- ** Comparison of Tables, Diagrams and Graphs**Chapter 5 Measures of Central Tendency**

** -:- ** Measures of Central Tendency ** -:- ** Definition of Measures of Central Tendency ** -:- ** Characteristics for a good statistical average ** -:- ** Various measures of central tendency ** -:- ** Arithmetic Mean ** -:- ** Geometric Mean(GM) ** -:- ** Harmonic Mean (H.M.) ** -:- ** Median ** -:- ** Mode ** -:- ** Empirical Relationship among mean, median and mode ** -:- ** Partition Measures ** -:- ** Quartiles ** -:- ** Deciles ** -:- ** Percentiles**Chapter 6 Measures of Dispersion**

** -:- ** Measures of Dispersion ** -:- ** Characteristics of a good Measure of Dispersion ** -:- ** Types of measures of dispersion ** -:- ** Absolute Measures ** -:- ** Range ** -:- ** Inter Quartile Range and Quartile Deviation ** -:- ** Mean Deviation ** -:- ** Standard Deviation ** -:- ** Combined Mean and Combined Standard Deviation ** -:- ** Relative Measures ** -:- ** Coefficient of Variation ** -:- ** Moments ** -:- ** Skewness and Kurtosis ** -:- ** Box plot**Chapter 7 Mathematical Methods**

** -:- ** Fundamental Principles of counting ** -:- ** Permutations ** -:- ** Combinations ** -:- ** Introduction to Binomial, Exponential and Logarithmic series ** -:- ** Introduction to Elementary calculus ** -:- ** Differentiation ** -:- ** Integration ** -:- ** Double integrals**Chapter 8 Elementary Probability Theory**

** -:- ** Elementary Probability Theory ** -:- ** Random experiment, Sample space, Sample point ** -:- ** Definitions of Probability ** -:- ** Axioms of Probability ** -:- ** Addition Theorem of Probability ** -:- ** Conditional Probability ** -:- ** Independent Events ** -:- ** Multiplication Theorem on Probability ** -:- ** Bayes’ Theorem and its Applications**Chapter 9 Random Variables and Mathematical Expectation**

** -:- ** Random Variables and Mathematical Expectation ** -:- ** Definition of random variable ** -:- ** Discrete and Continuous random variables ** -:- ** Probability Mass Function ** -:- ** Probability Density Function ** -:- ** Distribution function and its properties ** -:- ** Joint and marginal probability mass functions ** -:- ** Mathematical expectation ** -:- ** Addition and Multiplication Theorem on Expectations ** -:- ** Moments**Chapter 10 Probability Distributions**

** -:- ** Probability Distributions ** -:- ** Bernoulli’s Distribution ** -:- ** Binomial Distribution ** -:- ** Poission Distribution ** -:- ** Rectangular or Uniform Distribution ** -:- ** Normal Distribution ** -:- ** Fitting of Binomial, Poisson and Normal distributions