• Statistics and Mathematics Lectures
  • About
    • About me
  • I Statistics
  • 1 Preliminary Concepts
    • 1.1 Statistics: What & How
    • 1.2 Topics
    • 1.3 What is statistics?
    • 1.4 How Statistics works?
    • 1.5 Probability and Statistics
    • 1.6 Application of Statistics
    • 1.7 Examples
    • 1.8 Chapter Overview
    • 1.9 Definition
    • 1.10 Mechanism
    • 1.11 Population and Sample
    • 1.12 Variable and Constant
    • 1.13 Types of Variable
    • 1.14 Univariate, Multivariate
    • 1.15 Scale of Measurement
    • 1.16 Examples
    • 1.17 Another Example
    • 1.18 Operation with scales
    • 1.19 Shifting origin and scale
    • 1.20 Use of Summation sign
    • 1.21 Theorems
    • 1.22 Quick tips
    • 1.23 Example
    • 1.24 Textbook Exercise -01
    • 1.25 Exercises
    • 1.26 Creative Questions
  • 2 Collection, Presentation, and Organization of Data
    • 2.1 Types of Data
    • 2.2 Sources of Data
    • 2.3 Method of Data Collection
    • 2.4 Sources of Secondary Data
    • 2.5 Disadvantages of Secondary Data
    • 2.6 Tabluation
    • 2.7 Data Classification
    • 2.8 Example
    • 2.9 Histogram
    • 2.10 Histogram Intervals
    • 2.11 Stem and Leaf
    • 2.12 How to interpret cf and rf
    • 2.13 What Ogives tell us
    • 2.14 Bar vs Pie
    • 2.15 Choose Diagram
    • 2.16 Bar Diagram vs Histogram
  • 3 Measures of Central Tendency
    • 3.1 What is Central Tendency?
    • 3.2 Criteria for a Good Measure of Central Tendency
    • 3.3 Measures (Averages)
    • 3.4 AM
    • 3.5 Find AM
    • 3.6 Mean Using Frequency
    • 3.7 Freuency vs Weight
    • 3.8 Shortcut Method for AM
    • 3.9 Shortcut Method Formula
    • 3.10 Properties of AM
    • 3.11 (Dis)advantages of AM
    • 3.12 Geometric Mean (GM)
    • 3.13 Concept of Logarithm
    • 3.14 GM Easier Formula
    • 3.15 Calculate GM
    • 3.16 (Dis)advantages of GM
    • 3.17 Story of Oil Scam
    • 3.18 Harmonic Mean
    • 3.19 Why and When HM
    • 3.20 Wighted AM vs Weighted HM
    • 3.21 HM Example 2
    • 3.22 Quadratic Mean
    • 3.23 Partition Values
    • 3.24 Find medians
    • 3.25 Dis(advantages) of Median
    • 3.26 Quartiles, Deciles, and Percentiles
    • 3.27 General Formula for Partition Values
    • 3.28 Find Deciles and Percentiles
    • 3.29 Averages from Grouped Data
    • 3.30 Partition Values from Graph
    • 3.31 Comparison of Averages
    • 3.32 When AM = GM = HM
    • 3.33 Theorems
    • 3.34 Example Problems
  • 4 Measures of Dispersion
  • 5 Moments, Skewness, and Kurtosis
    • 5.1 Central Moments
    • 5.2 Raw Moments
  • 6 Correlation & Regression
    • 6.1 Why This Chapter is Important
    • 6.2 Scatter Plot
    • 6.3 Sequence
    • 6.4 Correlation
    • 6.5 Scatter Plot And Correlation
    • 6.6 r: Estimating Mechanism
    • 6.7 Example of r
    • 6.8 Features of r
    • 6.9 Rank Correlation
    • 6.10 Linear Equation/ Straight Lines
    • 6.11 Purity of Coefficients
  • 7 Time Series
    • 7.1 What is Time Series Data?
    • 7.2 Components of Time Series
    • 7.3 Uses
    • 7.4 Symbols
    • 7.5 Models
    • 7.6 Comparison of Models
  • 8 Measuring Trend
    • 8.1 Graphical/Free-hand Method
    • 8.2 Sem-average
    • 8.3 Moving Average
  • II Probability
  • 9 Introduction to Probability
    • 9.1 Important concepts
    • 9.2 Three Definitions
      • 9.2.1 Classical
      • 9.2.2 Relative frequency
      • 9.2.3 Axiomatic
    • 9.3 Permutaion vs Combination
    • 9.4 Dependency and Mutual Exclusivity
    • 9.5 Types of Problems
    • 9.6 Miscellaneous
      • 9.6.1 Misc Problem #01
      • 9.6.2 Misc Problem #02
      • 9.6.3 Misc Problem #03
    • 9.7 Coin And Die Problem
      • 9.7.1 Tossing A Coing Twice
      • 9.7.2 Flipping A Coin Thrice
      • 9.7.3 Flinging Two Dice at Once
    • 9.8 Playing Card
      • 9.8.1 Concepts (Playing Card)
      • 9.8.2 Card Problem #01
      • 9.8.3 Card Problem #02
      • 9.8.4 Card Problem #03
      • 9.8.5 Card Problem #04
      • 9.8.6 Card Problem #05
    • 9.9 Box
      • 9.9.1 Box Problem #01
      • 9.9.2 Box Problem #02
      • 9.9.3 Box Problem #02
    • 9.10 Conditional Probability
      • 9.10.1 Conditional Formula
      • 9.10.2 Conditional Problem # 01
      • 9.10.3 Conditional Problem # 02
      • 9.10.4 Conditional Problem # 03
      • 9.10.5 Conditional Problem # 04
    • 9.11 Set Theoretic
      • 9.11.1 Concept
      • 9.11.2 Set Problem # 01
      • 9.11.3 Set Problem # 02
      • 9.11.4 Set Problem # 03
      • 9.11.5 Set problem # 04
      • 9.11.6 Set problem # 05
      • 9.11.7 Set problem # 06
      • 9.11.8 Set problem # 07
      • 9.11.9 Set problem # 08
  • Appendix
  • A Permutation & Combination
    • A.1 Arranging Subset
    • A.2 What is 0!
    • A.3 Rule of Counting
    • A.4 Example of counting rule
    • A.5 Exercises of permutation
    • A.6 Without Changing Position
    • A.7 Specific Word at First/Last
    • A.8 Even/Odd/middle positions
    • A.9 Digit Problems
    • A.10 Summation Basics
    • A.11 Sum-Average
    • A.12 Specific Items Apart/First/Last
    • A.13 Arranging in Seats/Positions
    • A.14 Circular Combination
  • B Combination
    • B.1 Concept
    • B.2 Formulae And Notation
    • B.3 Expaniosn of \(^nC_r\)
    • B.4 Theoretical Problems
    • B.5 Repeated Items
    • B.6 Repeated Items (Ctd.)
    • B.7 Conditional Capacity
    • B.8 Always In(Ex)cluding
    • B.9 Always In(Ex)cluding Problems
    • B.10 At least one
    • B.11 At least one (Problems)
  • III Presentations
    • How to Use
    • Statistics
      • First Part
      • Elementary Statistics
    • Mathematics
      • Higher Secondary
      • Class IX-X
      • Class Eight
      • Class Seven
  • Published with bookdown

Statistics and Mathematics Lectures

Mathematics

Higher Secondary

  • Dispersion and Probability
  • Permutation and Combination

Class IX-X

  • Statistics
  • Probability

Class Eight

  • Mathematics Exercises
  • Algebra

Class Seven

  • Algebra All Chapters
  • Mathematics Exercises
  • Chapter 7.3