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
Chapter 1
Statistics