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Statistics and Probability

Board: IB Class: AI

Chapter Overview

Descriptive and inferential statistics. Bivariate data, correlation, linear regression, chi-squared tests. Probability theory, Venn diagrams, tree diagrams, Bayes theorem. Binomial, normal, and Poisson distributions. Hypothesis testing and confidence intervals.

Topics Covered

  • Descriptive Statistics
  • Bivariate Data
  • Correlation and Regression
  • Chi-Squared Test
  • Probability
  • Binomial Distribution
  • Normal Distribution
  • Poisson (HL)
  • Hypothesis Testing
  • Confidence Intervals

Key Formulas

r = correlation coefficient
y = mx + b (regression)
z = (x - mu)/sigma

Real-World Applications

Applications: Business analytics, social sciences, epidemiology, market research.

Study Tips

Tip: Use technology for statistical calculations
Tip: Understand when to use each test
Tip: Focus on interpretation of results

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