Topic 5: Statistics and probability

Collecting Data

Understanding population, census and samples

  1. Understanding Population, census and sample
  2. Random Sampling Methods
  3. Non Random Sampling methods

Representing Data

Mean

  1. Mean for discrete data
  2. Calculating the mean from a frequency table
  3. Exam Questions - Discrete data / mean

Median and Quartiles

  1. Median, lower, upper quartiles and interquartile range for discrete data
  2. Exam Questions - Median, lower, upper quartiles and interquartile range for discrete data
  3. Cumulative frequency curves
  4. Estimating the median, quartiles, percentiles from a grouped frequency table
  5. Exam Questions - Estimating the median from a grouped frequency table

Standard Deviation

  1. Standard deviation
  2. Exam Questions - Discrete data / standard deviation
  3. Exam Questions - Continuous data / standard deviation

Statistical Diagrams

  1. Stem and leaf diagrams
  2. Box and whisker plots
  3. Exam Questions - Stem and leaf diagrams and box and whisker plots

Probability

Possibility Space (Sample Space)

  1. Possibility space diagrams

Tree Diagrams

  1. Tree Diagrams
  2. Probability Tree Diagrams for Independent Events
  3. And Rule (multiplication) / Or Rule (addition for mutually exclusive events)
  4. Probability Tree Diagrams for Dependent Events
  5. Conditional probability in tree diagrams
  6. Exam Questions - Tree diagrams

Venn Diagrams

  1. Venn diagrams
  2. Probability in Venn diagrams
  3. Conditional probability in Venn diagrams
  4. P(A∪B) and mutually exclusive events
  5. Exam Questions - Venn diagrams

Independent, Dependent and Mutually Exclusive Events

  1. Independent, dependent and mutually exclusive events

Discrete Random Variables

Discrete Random Variables

  1. E(XY)=E(X)E(Y)

Binomial Distribution

  1. Binomial distribution
  2. Mean and variance
  3. Exam Questions - Binomial distribution

Correlation and Linear Regression

Correlation

  1. Correlation
  2. Product moment correlation coefficient (pmcc)
  3. Exam Questions - Correlation

Regression

  1. Regression
  2. Interpreting the regression line constants, explanatory and response variables
  3. Making predictions and reliability of predicted values
  4. Exam Questions - Regression

The Normal Distribution

The Normal Distribution

  1. The normal distribution
  2. The standard normal distribution Z~N(0,1) - Using tables or calculator
  3. Probabilities from a normal distribution using tables