• Statistics and Mathematics Lectures
  • About
    • About me
  • 1 Statistics
    • 1.1 Preliminary Concepts
      • 1.1.1 Statistics: What & How
      • 1.1.2 Topics
      • 1.1.3 What is statistics?
      • 1.1.4 How Statistics works?
      • 1.1.5 Probability and Statistics
      • 1.1.6 Application of Statistics
      • 1.1.7 Examples
      • 1.1.8 Chapter Overview
      • 1.1.9 Definition
      • 1.1.10 Mechanism
      • 1.1.11 Population and Sample
      • 1.1.12 Variable and Constant
      • 1.1.13 Types of Variable
      • 1.1.14 Univariate, Multivariate
      • 1.1.15 Scale of Measurement
      • 1.1.16 Examples
      • 1.1.17 Another Example
      • 1.1.18 Operation with scales
      • 1.1.19 Shifting origin and scale
      • 1.1.20 Use of Summation sign
      • 1.1.21 Theorem 01
      • 1.1.22 Theorem 02
      • 1.1.23 Quick tips
      • 1.1.24 Theorem 03
      • 1.1.25 Theorem 04
      • 1.1.26 Theorem 05
      • 1.1.27 Theorem 06
      • 1.1.28 Quick Tip
      • 1.1.29 Theorem 07
      • 1.1.30 Theorem 08
      • 1.1.31 Theorem 09
      • 1.1.32 Example
      • 1.1.33 Textbook Exercise -01
      • 1.1.34 Exercise-01
      • 1.1.35 Exercise -01
      • 1.1.36 Exercise -01
      • 1.1.37 Creative Question
      • 1.1.38 Creative Question -07
    • 1.2 Collection, Presentation, and Organization of Data
      • 1.2.1 Types of Data
      • 1.2.2 Sources of Data
      • 1.2.3 Method of Data Collection
      • 1.2.4 Sources of Secondary Data
      • 1.2.5 Disadvantages of Secondary Data
      • 1.2.6 Tabluation
      • 1.2.7 Data Classification
      • 1.2.8 Example
      • 1.2.9 Histogram
      • 1.2.10 Histogram Intervals
      • 1.2.11 Stem and Leaf
      • 1.2.12 How to interpret cf and rf
      • 1.2.13 What Ogives tell us
      • 1.2.14 Bar vs Pie
      • 1.2.15 Choose Diagram
      • 1.2.16 Bar Diagram vs Histogram
    • 1.3 Measures of Central Tendency
      • 1.3.1 What is Central Tendency?
      • 1.3.2 Criteria for a Good Measure of Central Tendency
      • 1.3.3 Measures (Averages)
      • 1.3.4 AM
      • 1.3.5 Find AM
      • 1.3.6 Mean Using Frequency
      • 1.3.7 Freuency vs Weight
      • 1.3.8 Shortcut Method for AM
      • 1.3.9 Shortcut Method Formula
      • 1.3.10 Properties of AM
      • 1.3.11 (Dis)advantages of AM
      • 1.3.12 Geometric Mean (GM)
      • 1.3.13 Concept of Logarithm
      • 1.3.14 GM Easier Formula
      • 1.3.15 Calculate GM
      • 1.3.16 (Dis)advantages of GM
      • 1.3.17 Story of Oil Scam
      • 1.3.18 Harmonic Mean
      • 1.3.19 Why and When HM
      • 1.3.20 Wighted AM vs Weighted HM
      • 1.3.21 HM Example 2
      • 1.3.22 Quadratic Mean
      • 1.3.23 Partition Values
      • 1.3.24 Find medians
      • 1.3.25 Dis(advantages) of Median
      • 1.3.26 Quartiles, Deciles, and Percentiles
      • 1.3.27 General Formula for Partition Values
      • 1.3.28 Find Deciles and Percentiles
      • 1.3.29 Averages from Grouped Data
      • 1.3.30 Partition Values from Graph
      • 1.3.31 Comparison of Averages
      • 1.3.32 When AM = GM = HM
      • 1.3.33 Theorems
      • 1.3.34 Theorem 01
      • 1.3.35 Theorem 02
      • 1.3.36 Theorem 03
      • 1.3.37 Theorem 04 (AM~origin & scale)
      • 1.3.38 Theorem 07
      • 1.3.39 Theorem 08
      • 1.3.40 Theorem 09
      • 1.3.41 Theorem 10
      • 1.3.42 Theorem 11
      • 1.3.43 Theorem 12
      • 1.3.44 Theorem 13
      • 1.3.45 Theorem 14
      • 1.3.46 Theorem 15
      • 1.3.47 Theorem 16
      • 1.3.48 Example Problems
      • 1.3.49 Example Problem 01
      • 1.3.50 Example Problem 15
      • 1.3.51 Example Problem 22
    • 1.4 Measures of Dispersion
    • 1.5 Moments, Skewness, and Kurtosis
      • 1.5.1 Central Moments
      • 1.5.2 Raw Moments
    • 1.6 Correlation & Regression
      • 1.6.1 Why This Chapter is Important
      • 1.6.2 Scatter Plot
      • 1.6.3 Sequence
      • 1.6.4 Correlation
      • 1.6.5 Scatter Plot And Correlation
      • 1.6.6 r: Estimating Mechanism
      • 1.6.7 Example of r
      • 1.6.8 Features of r
      • 1.6.9 Rank Correlation
      • 1.6.10 Linear Equation/ Straight Lines
      • 1.6.11 Purity of Coefficients
  • 2 Probability
    • 2.1 Introduction to Probability
      • 2.1.1 Important concepts
      • 2.1.2 Three Definitions
      • 2.1.3 Permutaion vs Combination
      • 2.1.4 Dependency and Mutual Exclusivity
      • 2.1.5 Types of Problems
      • 2.1.6 Miscellaneous
      • 2.1.7 Coin And Die Problem
      • 2.1.8 Playing Card
      • 2.1.9 Box
      • 2.1.10 Conditional Probability
      • 2.1.11 Set Theoretic
  • 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

  • Mathematics Exercises
  • Chapter 7.3