IBMathsDP4. Statistics & Probability

4. Statistics & Probability (DP IB Maths: AI HL)

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4.1 Statistics Toolkit

  1. 4.1.1 Sampling
  2. 4.1.2 Data Collection
  3. 4.1.3 Statistical Measures
  4. 4.1.4 Frequency Tables
  5. 4.1.5 Linear Transformations of Data
  6. 4.1.6 Outliers
  7. 4.1.7 Univariate Data
  8. 4.1.8 Interpreting Data

4.2 Correlation & Regression

  1. 4.2.1 Bivariate Data
  2. 4.2.2 Correlation Coefficients
  3. 4.2.3 Linear Regression

4.3 Further Correlation & Regression

  1. 4.3.1 Non-linear Regression
  2. 4.3.2 Logarithmic Scales
  3. 4.3.3 Linearising using Logarithms

4.4 Probability

  1. 4.4.1 Probability & Types of Events
  2. 4.4.2 Conditional Probability
  3. 4.4.3 Sample Space Diagrams

4.5 Probability Distributions

  1. 4.5.1 Discrete Probability Distributions
  2. 4.5.2 Expected Values

4.6 Random Variables

  1. 4.6.1 Linear Combinations of Random Variables
  2. 4.6.2 Unbiased Estimates

4.7 Binomial Distribution

  1. 4.7.1 The Binomial Distribution
  2. 4.7.2 Calculating Binomial Probabilities

4.8 Normal Distribution

  1. 4.8.1 The Normal Distribution
  2. 4.8.2 Calculations with Normal Distribution

4.9 Further Normal Distribution (inc Central Limit Theorem)

  1. 4.9.1 Sample Mean Distribution
  2. 4.9.2 Confidence Interval for the Mean

4.10 Poisson Distribution

  1. 4.10.1 Poisson Distribution
  2. 4.10.2 Calculating Poisson Probabilities

4.11 Hypothesis Testing

  1. 4.11.1 Hypothesis Testing
  2. 4.11.2 Chi-squared Test for Independence
  3. 4.11.3 Goodness of Fit Test

4.12 Further Hypothesis Testing

  1. 4.12.1 Hypothesis Testing for Mean (One Sample)
  2. 4.12.2 Hypothesis Testing for Mean (Two Sample)
  3. 4.12.3 Binomial Hypothesis Testing
  4. 4.12.4 Poisson Hypothesis Testing
  5. 4.12.5 Hypothesis Testing for Correlation
  6. 4.12.6 Type I & Type II Errors

4.13 Transition Matrices & Markov Chains

  1. 4.13.1 Markov Chains
  2. 4.13.2 Transition Matrices

4.1 Statistics Toolkit

  1. Exam Questions

4.2 Correlation & Regression

  1. Exam Questions

4.3 Further Correlation & Regression

  1. Exam Questions

4.4 Probability

  1. Exam Questions

4.5 Probability Distributions

  1. Exam Questions

4.6 Random Variables

  1. Exam Questions

4.7 Binomial Distribution

  1. Exam Questions

4.8 Normal Distribution

  1. Exam Questions

4.9 Further Normal Distribution (inc Central Limit Theorem)

  1. Exam Questions

4.10 Poisson Distribution

  1. Exam Questions

4.11 Hypothesis Testing

  1. Exam Questions

4.12 Further Hypothesis Testing

  1. Exam Questions

4.13 Transition Matrices & Markov Chains

  1. Exam Questions