← IB Class AA
Statistics and Probability
Chapter Overview
Descriptive statistics: mean, median, mode, variance, standard deviation, box plots. Probability: sample space, events, conditional probability, Bayes theorem. Random variables, discrete probability distributions, binomial distribution, normal distribution, hypothesis testing (HL).
Topics Covered
- Descriptive Statistics
- Probability Basics
- Conditional Probability
- Bayes Theorem
- Random Variables
- Binomial Distribution
- Normal Distribution
- Hypothesis Testing (HL)
- Chi-Squared Test (HL)
Key Formulas
Variance = E(X2) - [E(X)]^2
P(A|B) = P(AnB)/P(B)
P(X=r) = C(n,r)pr(1-p)n-r
z = (x - mu)/sigma
Real-World Applications
Applications: Data science, quality control, medical research, A/B testing.
Study Tips
Tip: Understand the difference between binomial and normal
Tip: Practice with real data sets
Tip: Learn to use technology for calculations