IB Mathematics Applications & Interpretation Statistics and Probability Notes

SL 4.1—Introduction to Statistics

SL 4.2—Presentation of data

SL 4.3—Mean, median, and mode

SL 4.4—Correlation of Data

SL 4.5—Trial and outcome

SL 4.6—Venn diagrams

SL 4.7—Discrete random variables

SL 4.8—Binomial distribution

SL 4.9—Normal distribution

SL 4.10—Spearman’s rank correlation coefficient

SL 4.11—Expected, observed, hypotheses, chi squared, gof, t-test

AHL 4.12—Data collection, reliability and validity tests

AHL 4.13—Non-linear regression

AHL 4.14—Linear transformation of a single RV, E(X) and VAR(X), unbiased estimators

AHL 4.15—Central limit theorem

AHL 4.16—Confidence intervals

AHL 4.17—Poisson distribution

AHL 4.18—T and Z test, type I and II errors

AHL 4.19—Transition matrices – Markov chains