Representing Data

• Mean for discrete data
  • Exam Questions
• median, lower, upper quartiles and interquartile range for discrete data
  • Exam Questions
• Cumulative frequency curves
• Estimating the median from a grouped frequency table
  • Exam Questions
• Standard deviation
  • Standard deviation from frequency tables
• Exam Questions

Statistical diagrams

• Stem and leaf diagrams
• Box and whisker plots
  • Exam Questions
• Histograms
  • Exam Questions

Probability

Possibility Space (sample space)

• Possibility space diagrams

Tree diagrams

• Probability tree diagrams
  • Combining probabilities
    • Examples
  • Conditional probability
    • Example
• Exam Questions

Venn Diagrams

• Venn diagrams
  • Conditional probability
• P(AUB)

Summary (Independent, Dependent and Mutually Exclusive Events)

• Summary

Venn Diagram - Exam Questions

Permutations and Combinations

• Permutations of n different items
  • Permutations of r items from n different items
  • Permutations of repeated letters in a word
  • Permutations with restrictions: letters / items together
  • Permutations with restrictions : items at the ends
  • Permutations with restrictions : items must not be together
• Combinations of n different items
  • Combining combinations
• Permutations and Combinations in probability

Discrete random variables

• Discrete random variables
  • Probability distribution tables
  • Cumulative distribution function F(X)
  • Expected values E(X)
  • Variance, Var(X)
  • Linear combinations of random variables

Exam Questions

Binomial Distribution

Binomial Distribution

• Introduction
• Formula
  • An example for you to try
• Cumulative Probability Tables
  • For p less than or equal to 0.5
  • For p greater than 0.5
• Mean and variance

Exam Questions

Hypothesis Testing using the Binomial Distribution

Binomial Distribution

• Introduction
  • Lower tail test
  • Upper tail test
  • Critical values - lower tail test
  • Critical values - upper tail test
  • Two tailed test
• Exam Questions