# Topic 5 – Core: Statistics and probability

## Collecting Data

## Understanding population, census and samples

## Representing Data

## Mean

## Median and Quartiles

- Median, lower, upper quartiles and interquartile range for discrete data
- Exam Questions - Median, lower, upper quartiles and interquartile range for discrete data
- How to interpret class intervals
- Exam Questions - Estimating the median from a grouped frequency table
- Exam Questions - Estimating the median from a histogram

## Standard Deviation

## Probability

## Possibility Space (Sample Space)

## Tree Diagrams

## Venn Diagrams

## Independent, Dependent and Mutually Exclusive Events

## Discrete Random Variables

## Discrete Random Variables

## Binomial Distribution

## Poisson Distribution

## The Normal Distribution

## The Normal Distribution

- The standard normal distribution Z~N(0,1) - Using tables or calculator
- Probabilities from a normal distribution using tables
- Exam Questions - Normal distribution, finding a probability
- Sampling distribution of the sample means (Normal distribution)
- Sampling distribution of the sample means (Normal distribution) proof
- Introduction to Hypothesis testing for Normal distribution
- Hypothesis testing for Normal distribution (One tailed and 2 tailed test)
- Understanding Critical values (Hypothesis testing for Normal Distribution)
- Hypothesis testing for Normal Distribution - Critical values method (3 examples)