Random Variables, Averages and Statistics

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Chapter 4: Random Variables, Averages and Statistics (71 videos)   (Practice Test)
4.1: Frequency Distribution  (Practice Test)
  1. Concept of Information Handling
  2. Problem 1: Concept of Information Handling
  3. Data, Collection of Data, Presentation of Data
  4. Problem 1: Data, Collection of Data, Presentation of Data
  5. Types of Variables
  6. Problem 1: Types of Variables
  7. Graph of Frequency Distribution by Histogram
  8. Problem 1: Constructing Histogram with Equal Intervals
  9. Construction of Frequency Polygon
  10. Problem 1: Construction of Frequency Polygon
  11. Measure of Location
  12. Problem 1: Measure of Location
  13. Problem 2: Types of Measures of Central Tendency
  14. Arithmetic Mean (A.M) for Ungrouped Data
  15. Problem 1: A.M of Ungrouped Data by Direct Method
  16. Arithmetic Mean (A.M) for Grouped Data by Direct Method
  17. Problem 1: A.M for Grouped Data by Direct Method
  18. Short formula for Computing Arithmetic Mean for Ungrouped Data
  19. Problem 1: A.M for Ungrouped Data by Short formula Method
  20. Short formula for Computing Arithmetic Mean for Grouped Data
  21. Problem 1: A.M for Grouped Data by Short formula Method
  22. Coding Method of Finding Arithmetic Mean
  23. Problem 1: A.M for Ungrouped Data by Coding Method
  24. Finding A.M for Grouped Data-Coding Method
  25. Problem 1: A.M for Grouped Data by Coding Method
  26. Median for Grouped Discrete Data
  27. Problem:Median for Grouped Discrete Data
  28. Problem-Mode for Grouped Continuous Data
4.2: Random Variables and Probability Density Functions
  1. Concept of Random Variable
  2. Word problem on Random Variables
  3. Probability Density Function
  4. Problem-Probability Density Function
  5. Binomial Random Variable
4.3: Expected Value and Standard Deviations of Random Variables  (Practice Test)
  1. Expected Value of a random variable
  2. Problem-Expected Value of a Random Variable
  3. Expected Value of a Binomial Random Variable
  4. Problem-Expected Value of a Binomial Random Variable
  5. Applications of Expected Value of a random variable
  6. Introduction to Variance and Standard deviation
  7. Problem 1: Introduction to Variance & S.D
  8. Calculation of the Variance and Standard Deviation by Direct Method
  9. Problem 1: Calculation of Variance by Direct Method
  10. Calculation of Variance by Proper Mean Formula
  11. Calculation of Variance of Grouped Data by Proper Mean Formula
  12. Calculation of Variance by Short Cut Method
  13. Problem 1: Calculation of Variance by Short Cut Method
  14. Calculation of S.D by Short Cut Method
  15. Problem 1: Calculation of S.D by Short Cut Method
  16. Calculation of Standard Deviation by Proper Mean Formula
  17. Problem 1: Calculation of S.D by Proper Mean formula
  18. Calculation of S.D by Direct Method
  19. Problem 1: Calculation of S.D by Direct Method
  20. Limitations of Variance and Standard Deviation
  21. Problem 1: Limitations of Variance and Standard Deviation
  22. Uses and Properties of Standard Deviation
  23. Problem 1: Uses and Properties of Standard Deviation
  24. Criteria for the measurement of spread of Observation
  25. Problem 1: Criteria for the measurement of spread of Observation
  26. S.D & Variance for A Grouped Data
  27. Problem 1: S.D & Variance for A Grouped Data
  28. Variance and Standard Deviation of The Random Variable X
  29. Variance and Standard Deviation of a Binomial Random Variable
4.4: Normal Random Variables and the Normal Approximation to the Binomial
  1. Standard Normal Distribution
  2. Standard Normal Random Variable
  3. Problem-Standard Normal Random Variable
  4. Standardizing a random variable
  5. Probability of a Standard Normal Random Variable
  6. Problem-Probability of a Standard Normal Random Variable
  7. Probability of a random variable w. r. t. standard deviation
  8. The normal approximation to a Binomial random variable
  9. Problem-The normal approximation to a Binomial random variable