# Statistics Help

## If you are looking for statistics help then below I have outlined a course of tutorials that I hope you will find useful.

I would encourage you to try the examination questions which are taken from various past papers which should also provide further statistics help.

## 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

## Two Way Tables

## 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
- Normal Cumulative Distribution Function
- Inverse Normal Function to find observed values
- 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
- Calculating the mean μ and standard deviation σ
- Exam Questions - Calculating the mean and standard deviation
- 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

## Statistical Approximations

## Poisson Approximation to the Binomial Distribution

## Normal Approximation to the Binomial and Poisson Distributions

## Estimation and Sampling

## Estimation and Sampling

## Central Limit Theorem

## Confidence intervals

## Hypothesis Tests

## Hypothesis Tests – Binomial Distribution

## Hypothesis Tests – Poisson Distribution

## Hypothesis Tests – Sample Mean

The following books may offer further statistics help.

There may also be tutors that offer statistics help or short holiday revision courses that also offer statistics help listed here. Good luck.