# Statistics Contents

Statistics tutorials are listed here to help you plan your course of study

## 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
- Cumulative frequency curves
- How to interpret class intervals
- Estimating the median, quartiles, percentiles from a grouped frequency table
- Exam Questions - Estimating the median from a grouped frequency table
- Exam Questions - Estimating the median from a histogram

## Standard Deviation

## Statistical Diagrams

## Descriptive statistics

## Probability

## Possibility Space (Sample Space)

## Tree Diagrams

## Venn Diagrams

## Independent, Dependent and Mutually Exclusive Events

## Permutations and Combinations

## 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
- Probability using permutations and combinations

## Discrete Random Variables 1

## The Normal Distribution

## The Normal Distribution

- The normal distribution
- The standard normal distribution Z~N(0,1) - Using tables or calculator
- Calculating probabilities from a normal distribution
- Exam Questions - Normal distribution, finding a probability
- Calculating the mean and standard deviation
- Exam Questions - Calculating the mean and standard deviation
- Finding an observed value x
- Exam Questions - Finding an observed value

## Correlation and Linear Regression

## Discrete Random Variables 2

## Binomial Distribution

## Negative Binomial distribution

## Geometric Distribution

## Poisson Distribution

## Probability Generating Functions

## Continuous random variables

## Probability Density Functions and Cumulative Distribution Functions

- What is a probability density function (p.d.f.)?
- Finding the constant k in a p.d.f
- Calculating probability from a p.d.f.
- The cumulative distribution function, (c.d.f)
- Finding the median quartiles and percentiles
- Finding the mode from a p.d.f.
- E(X) and Var(X)
- Exam Questions - Probability density functions and cumulative distribution functions