Statitstics 11th std

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Statitstics 11th std

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

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