11th class statistics Sindh Board Video tutorials
11th class statistics Sindh Board
In this post we are posting all about 11th class Statistics Sindh Board video tutorials for Commerce students. You can easily watch all tutorials stepbystep from 11th class Statistics Sindh Board.
Chapter 1: Representation and Exploration of Data (34 videos)
1.1: Exploring and Interpreting Data
 Data
 Exploring Data
 Interpretation of Data
 Introducing Parameters and Statistic
 Basic Terminologies in Statistics
 Accuracy of Measurements & Errors
 Qualitative/Quantitative Data
 Types of Data(Continuous/Discrete)
1.2: Frequency Distribution
 Construction of Continuous Frequency Table
 Problem 1: Construction of Continuous Frequency Table
 Discrete Frequency Table
 Cumulative Frequency Distribution
 Find the Cumulative Frequency
1.3: Charts/Diagrams
 Charts/Diagrams
 Graphical Representation of DataHorizontal/Vertical Bar Graph
 Graphical Representation & Interpretation of DataMultiple Bar Graph
 Component Bar Chart
 Percentage Component Bar Chart
 Composite Bar Chart
 Graphical Representation & Interpretation of Data Pie Graph
1.4: Graphs
 Graphs
 Interpretation of Data Through Graphs
 Graph of Frequency Distribution by Histogram
 Problem 1: Constructing Histogram with Equal Intervals
 Construct a Cumulative Frequency Polygon for the Given Data or Ogive
 Construct a Cumulative Frequency Polygon for the Given Data (Ogive)
 Graphical Representation & Interpretation of DataDot Graph
 Representation and Interpretation of Data through Stem and Leaf
 Graphical Representation & Interpretation of Data Line Graph
 Graph of Time Series
1.5: Types of Frequency curves
Chapter 2: Measure of central Tendency or Averages (40 videos)
2.1: Averages
2.2: Arithmetic Means
 Arithmetic Mean (A.M) for Ungrouped Data
 Problem 1: A.M of Ungrouped Data by Direct Method
 Arithmetic Mean (A.M) for Grouped Data by Direct Method
 Problem 1: A.M for Grouped Data by Direct Method
 Short formula for Computing Arithmetic Mean for Ungrouped Data
 Problem 1: A.M for Ungrouped Data by Short formula Method
 Short formula for Computing Arithmetic Mean for Grouped Data
 Problem 1: A.M for Grouped Data by Short formula Method
 Coding Method of Finding Arithmetic Mean
 Problem 1: A.M for Ungrouped Data by Coding Method
 A.M for Grouped Data by Coding Method
 Problem 1: A.M for Grouped Data by Coding Method
 Combined Arithmetic Mean
 Where to Use Arithmetic Mean
 Applications of Weighted Averages
 Introducing Weighted Average
 Problem – Weighted Average for Ungrouped Data
2.3: Median and Quartiles
 Median for Ungrouped Data
 Problem 1: Median for Ungrouped Data
 Quartiles for Individual Observations
 More on Quartiles for Individual Observations
 ProblemQuartiles for Individual Observations
 Quartiles for a Frequency Distribution
 ProblemQuartiles for a Frequency Distribution
 Estimating Quartiles for Grouped Data using Graph
 Quantiles from Discrete Data
 More on Quantiles from Discrete Data
 Quartiles From Grouped Data
 More on Quartiles From Grouped Data
 Deciles and Percentiles from Grouped Data
 More on Deciles and Percentiles from Grouped Data
 Problem – Deciles and Percentiles from Grouped Data
 Problem – Deciles and Percentiles from Grouped Data
2.4: Mode
2.5: Geometric Mean & Harmonic Mean
Chapter 3: Measures of Dispersion (67 videos)
3.1: Dispersion
3.2: Range
 Calculation of Range for Raw or Ungrouped Data
 Problem 1: Calculation of Range for Raw or Ungrouped Data
 Calculation of Range for Grouped Data
 Problem 1: Calculation of Range for Grouped Data
3.3: Mean Deviation
 Introducing Mean Deviation
 Problem 1: Mean Deviation for Ungroped Data by Mean
 Calculation of Mean Deviation according to the Median for Ungrouped D
 Problem 1: Mean Deviation for Ungroped Data by Median
 Calculation of Mean Deviation according to the Mode for Ungrouped Data
 Problem 1: Mean Deviation for Ungroped Data by Mode
 Calculation of Mean Deviation from Group Data according to Mean
 Problem 1: Mean Deviation for Groped Data by Mean
 Calculation of Mean Deviation from Group Data according to Median
 Problem 1: Mean Deviation for Groped Data by Median
 Calculate the Mean Deviation from the following Group Data according
 Problem 1: Mean Deviation for Groped Data by Mode
3.4: Quartile Deviation
 Concept of Quartile Deviation
 ProblemConcept of Quartile Deviation
 Interquartile Range for Data Set Represented in Different Ways
 More on Interquartile Range for Data Set Represented in Different Ways
3.5: Variance and Standard Deviation
 Introduction to Variance and Standard deviation
 Problem 1: Introduction to Variance & S.D
 Calculation of the Variance and Standard Deviation by Direct Method
 Problem 1: Calculation of Variance by Direct Method
 Calculation of Variance by Proper Mean Formula
 Calculation of Variance of Grouped Data by Proper Mean Formula
 Calculation of Variance by Short Cut Method
 Problem 1: Calculation of Variance by Short Cut Method
 Calculation of S.D by Direct Method
 Problem 1: Calculation of S.D by Direct Method
 Calculation of S.D by Short Cut Method
 Problem 1: Calculation of S.D by Short Cut Method
 Calculation of Standard Deviation by Proper Mean Formula
 Problem 1: Calculation of S.D by Proper Mean formula
 Effect of Change of Origin and Scale on S.D
3.6: Coefficient of Dispersion
 Coefficient of Dispersion
 Absolute and Relative Dispersion
 Coefficient of Dispersion and Its Measure
 Range Coefficient of Dispersion and its measure
 ProblemRange Coefficient of Dispersion and its measure
 Coefficient of Variation and its Measure
 More on ProblemCoefficient of Dispersion and Its Measure
 Quartile Coefficient of Relative Dispersion and its Measure
 Quartile Coefficient of Relative Dispersion and its Measure
 Mean Coefficient of Dispersion
 More on Mean Coefficient of Dispersion
3.7: Moments
 Introducing Moments
 Introducing Moments
 More on Introducing Moments
 ProblemIntroducing Moments
 More on ProblemIntroducing Moments
 ProblemMoments for group data
 ProblemMoments for group data
 ProbRelation Between Mean Moments and Raw Moments
 More on ProbRelation Between Mean Moments and Raw Moments
3.8: Skewed Vs Unskewed Curves
 Introducing Skewness
 Skewed Vs Unskewed Curves
 More on Skewed Vs Unskewed Curves
 Measures of Skewness
 More on Measures of Skewness
 ProblemMeasures of Skewness
3.9: Kurtosis
Chapter 4: Index Numbers (18 videos)
4.1: Introduction to Index Numbers
4.2: Main Steps to Construct Price Index Numbers
 Calculating Index Number By Fixed Base Method
 More on Calculating Index Number By Fixed Base Method
 Calculating Index Number By Chain Base Method
4.3: Unweighted and Weighted Index Numbers
 Calculation of Unweighted Index Number by Simple Aggregative Method
 ProblemUnweighted Index Number by Simple Aggregative Method
 Calculation of Unweighted Index Number by Simple Average Method
 ProblemUnweighted Index Number by Simple Average Method
 Calculation of Unweighted Index Number by Average of Relative Method
 Weighted Aggregative Price Index Numbers By Laspeyres Method
 Weighted Aggregative Price Index Numbers By Paasches Method
 Weighted Aggregative Price Index Numbers By Fishers Method
4.4: Consumer Price Index Numbers
Chapter 5: Regression & Correlation Analysis (3 videos)
5.1: Regression Analysis
5.2: Correlation
Chapter 6: Analysis of Time Series (13 videos)
6.1: Time Series
6.2: Components of Time Series
6.3: Estimation of Secular trend
Chapter 7: Set Theory (26 videos)
7.1: Set Theory
 Empty set and Singleton Set
 Finite & Infinite Set
 Commutative Law of Union of Sets
 Commutative Law of Intersection of Sets
 Intersection Associativity for Overlapping Sets
 Intersection Associativity for Disjoint Sets
 Union Associativity for Overlapping Sets
 Union Associativity for Disjoint Sets
 Union Associativity for Sets
 More on Union Associativity for Set
 Distributivity of Union Over Intersection of Sets
 Distributivity of Intersection Over Union of Sets
 Complement of Union for Overlapping Sets
 Complement of Intersection for Overlapping Sets
 Complement of Intersection for Disjoint Sets
 Complement of Union for Disjoint Sets
 Complement of Union for Set & its Subset
 Complement of Intersection for Set & its Subset
7.2: Counting Methods
Chapter 8: Introduction to Probability (30 videos)
8.1: Basic Probability
 Introducing Probability
 Basic Terminologies used in Probability
 Types of Events
 Probability for Multiple Event
 Problem – Probability for Multiple Event
 Mutually Vs NonMutually Exclusive Events
 Problem – Mutually Vs NonMutually Exclusive Events
 Equally Likely Vs Exhaustive Events
 Conditional Probability
 Properties of Probabilities
8.2: Addition Law for Probabilities
 Addition Law of Probability
 Applications of Addition of Probabilities
 More on Applications of Addition of Probabilities
 Addition Laws of Probability
 ProblemAddition Laws of Probability
 Addition of Probabilities of Overlapping Events by Venn Diagram
 ProblemAddition of Probabilities of Overlapping Eventsby Venn Diagram
 Addition of Probabilities of Disjoint Events by Venn Diagram
 Addition of Probabilities of Subset Events
8.3: Multiplication Law for Probability
 Multiplication Law of Probability
 Application of Multiplication Laws of Probabalities
 More on Application of Multiplication Laws of Probabalities
 Multiplication of Probabilities of Dependent Events
 Problem Multiplication of Proababilities of Dependent Events
 Multiplication of Proababilities of Independent Events
 ProblemMultiplication of Proababilities of Independent Events
8.4: Conditional Probability
Chapter 9: Random Variables and Distributions (36 videos)
9.1: Random Variables and Discrete Distribution
 Random Variables
 Discrete Vs Continuous Random Variable
 Introducing Probability Distribution
 Probability Distribution of Discrete Random Variable
 More on Probability Distribution of Discrete Random Variable
 Problem – Probability Distribution of Discrete Random Variable
 The Expected Value of Random Variable
 Use of Expected Value in Decision Making
 More on Use of Expected Value in Decision Making
 The PDF of Continuous Distribution
 More on The PDF of Continuous Distribution
 Finding Area Under the Curve with Trapezoidal Rule
 More on Finding Area Under the Curve with Trapezoidal Rule
9.2: The Expectation of Random Variable
 Expectation
 Applications of Expectation
 How Probability Helps Expectations
 The Expectation of a Discrete Distribution
 Problem1The Expectation of a Discrete Distribution
 Problem2The Expectation of a Discrete Distribution
 More on Problem2The Expectation of a Discrete Distribution
 Laws of Expectation
 More on Laws of Expectation
 Addition and Subtraction Laws of Expectation
 Multiplication Law of Expectation
 ProblemLaws of Expectation
9.3: Properties of Variances
 Properties of Variance1
 Properties of Variance2
 Properties of Variance3
 Properties of Variance4
 Problem1 – Properties of Variance
 Problem2 – Properties of Variance
9.4: Sum or Differences of Variances
 Variance of the Sum or Difference of Two Random Variables1
 Variance of the Sum or Difference of Two Random Variables2
 Variance of the Sum or Difference of Two Random Variables3
 Variance of the Sum or Difference of Two Random Variables4
 ProblemVariance of the Sum or Difference of Two Random Variables
Chapter 10: Binomial and Hypergeometric Distributions (10 videos)
10.1: The Binomial Distributions
 The Bernoulli Distribution
 The Binomial Distribution
 More on Binomial Distribution
 Visualizing Binomial Distribution
 Probability of Binomial Distribution – Example
 Binomial Distribution for All Possible Value of Random Variable
 More on Binomial Distribution for All Possible Value of Random Variab
 Problem Probability of Binomial Distribution
10.2: The Hypergeometric Distributions
Chapter 11: The Normal Distributions (9 videos)
11.1: The Normal Distributions
 Introducing Normal Distribution
 Properties of Normal Distribution
 Areas under the Normal Curve
 Tabulated Areas of Normal Distribution
 More on Tabulated Areas of Normal Distribution
 Tabulated Areas of Normal Distribution for Centre Case
 Inverse Use of Table of Areas Under Normal Curve
 More on Inverse Use of Table of Areas Under Normal Curve1
 Problem Inverse Use of Table of Areas Under Normal Curve
Chapter 12: Sampling Distributions (50 videos)
12.1: Basic Concepts
 Population Vs Sample
 Applications of Sampling
 Introduction to Large Random Sample Space
 Population and Its Kind
 Sample and Sampling
 Sampling Units and Frame
 Sampling Versus Census
 Sampling and NonSampling Errors
 Precision and accuracy
 Limitations of Sampling
 Sampling Design and Its Types
 A Representative Vs Biased Sample
12.2: Probability And Non Probability sampling
 Probability and Nonprobability Sampling
 Random Digits
 Simple Random Sampling
 Systematic Sampling
 Stratified Sampling
 Introducing Purposive and Quota Sampling
12.3: Errors in Sampling
 True Value, Accuracy, Precision and Error
 ProbTrue Value, Accuracy, Precision and Error
 ProbSimple Random Sampling and Sampling Distribution
12.4: Sampling and Sampling Distributions
 Sampling
 Sampling Distribution
 Sampling With Replacement and Without Replacement
 Sampling Distribution and Standard Error of Statistic
 ProbSampling Distribution and Standard Error of Statistic
 ProbSampling Distribution From General Populations
12.5: Sampling Distributions
 Sampling Distribution of Mean
 Graphical Representation of Sampling Distribution of Means
 Standard Deviation of the Sampling Distribution With Replacement
 More on Standard Deviation of the Sampling Distribution With Replacem
 Problem Standard Deviation of Sampling Distribution With Replacement
 Standard Deviation of Sampling Distribution Without Replacement
 More on Standard Deviation of Sampling Distribution Without Replaceme
 Sampling Distribution of Difference of Means
 Variance of Difference of Random Variables
 More on Sampling Distribution of Difference of Means
 More on Difference of Variance of Random Variables
 ProblemSampling Distribution of Difference of Means
 More on ProblemSampling Distribution of Difference of Means
 Further to ProblemSampling Distribution of Difference of Means
 Further to ProblemSampling Distribution of Difference of Means
 Sampling Distribution of Proportions
 Problem Sampling Distribution of Proportions
 More on Problem Sampling Distribution of Proportions
 More on Problem Sampling Distribution of Proportions
 Sampling Distribution of Variances
 More on Sampling Distribution of Variances
 Further stuff on Sampling Distribution of Variances
Chapter 13: Estimation (16 videos)
13.1: Statistical Inference
 Introducing Statistical Inference
 Estimates and Estimators
 Statistics and Estimator
 Point Estimation
13.2: Point Estimation
13.3: Confidence Interval
 Introducing Confidence Interval
 Confidence Interval for Means with Large Samples
 Confidence Interval for Mue when Sigma Square is Unknown
 Confidence Interval for Differences between Means with Large Sample s
 Confidence Interval for Mean with Small Sample
 ProblemConfidence Interval Estimates of Mean From Small Samples
 Confidence Interval for differences between Means for small samples w
 Confidence Interval for Paired Observations
 Confidence Interval for Proportions
 Confidence Intervals for Difference Between Proportions
Chapter 14: Testing Hypothesis (27 videos)
14.1: Basic Concepts
 Testing hypothesis
 Formulation of Null and Alternative Hypothesis
 ProbFormulation of Null and Alternative Hypothesis
 Simple and Composite Hypothesis
 TestStatistics
 Acceptance and Rejection Regions
 Type 1 and 2 Errors
 The Significance Level
 One Tailed and Two Tailed Test
 General Procedure for Testing Hypothesis
 Left Tailed and Right Tailed Tests
 ProbLeft Tailed and Right Tailed Tests
 Deciding Upon an Appropriate Test
 Level of Significance and Level of Confidence
14.2: Testing Hypothesis About Means
 Testing Hypothesis about Mean of a Normal population when Sigma is kn
 Testing Hypothesis about Mean of a Normal population when Sigma is Un
 The Students t Distribution
 Hypothesis Testing About the Mean with Unknown Variance
 Comparing the Mean of Two Normal Populations
 Comparing the Means of Two Normal Distributions with unequal Unknown
 The Paired t Test
14.3: Testing Hypothesis About Proportions
 Test Based on Normal Approximation
 Example Test Based on Normal Approximation
 Test of Hypothesis About the Difference Between Two Population Propor
 ProbTest of Hypothesis About the Difference Between Two Population P
 Testing That Difference Between Two Population Proportions Equals Som
 ProbTesting That Difference Between Two Population Proportions Equal
Chapter 15: Association of Attributes (3 videos)
15.1: The Association of attributes
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