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## Video Tutorials

## Representing Data

### Mean

- Mean for discrete data
- Calculating the mean from frequency tables
- Casio fx calculators: mean from frequency table
- Exam questions

### Median and Quartiles

- Finding the median and quartiles
- Cumulative frequency curves
- How to interpret class intervals
- Estimating the median from a frequency table
- Exam questions

### Standard Deviation

### Statistical Diagrams

- Stem and leaf diagrams
- Box and whisker plots
- Histograms
- Finding the width and height of a class interval on a histrogram
- Exam questions

## Probability

### Tree Diagrams

- How to draw tree diagrams
- Probability tree diagrams and independant events
- Combining probabilities - mutually exclusive events
- Dependent events
- Dependent events - example
- Conditional probability in tree diagrams
- Conditional probability example
- Exam questions

### Venn Diagrams

- What is a Venn diagram?
- Algebraic type
- Problems involving 3 sets
- Algebraic type problem involving 3 sets
- Notation and symbols used in Venn diagrams
- Shading regions
- Probability in Venn diagrams
- Conditional probability in Venn diagrams
- P(A∪B) and mutually exclusive events
- Exam questions

### Two Way Tables

### Independent, Dependent and Mutually Exclusive Events

## Discrete Random Variables

### Discrete Probability Distributions

### Binomial Distribution

- Introduction
- Formula for Binomial distribution
- Binomial distribution example qestions
- Binomial probabilities on a calculator - evaluating P(X=x) for X~B(n,p)
- Binomial probabilities on a calculator - evaluating P(X≤x) for X~B(n,p)
- Cumulative probability tables for p ≤ 0.5
- Cumulative probability tables for p ≥ 0.5
- Mean and variance
- Exam questions

## Normal Distribution

### Normal Distribution

- Introduction
- Standard normal distribution: Z~N(0,1)
- Normal cumulative distribution function
- Inverse normal function to find observed values
- Casio fx calculators: calculating probabilities for Z~N(0,1)
- Calculating probabilities from a normal distribution
- Calculating P(X<x) where x>μ
- Calculating P(X>x) where x>μ
- Calculating P(X>x) where x<μ
- Calculating P(X<x) where x<μ
- Calculating the mean and standard deviation
- Finding the mean using tables
- Finding the mean given a percentile
- Finding the standard deviation using tables/calculator
- Finding both the mean and standard deviation
- Exam questions

## Correlation and Linear Regression

### Correlation

- Introduction
- Pearson's Product Moment Correlation Coefficient using a Casio calculator
- Pearson's Product Moment Correlation Coefficient - the formula
- Hypothesis testing for zero correlation

### Regression

- Least squares method
- Regression for y on x on a Casio calculator
- Calculating a regression line without the calculator statistics function
- Meaning of a & b in y = a + bx
- Predictions and their reliability

## Statistical Approximations

### Normal Approximation to the Binomial Distribution

## Hypothesis Tests

### Binomial Distribution Hypothesis Tests

## Worked Papers

The new specification has limited resources, but these papers from the previous are still mostly applicable.

S1

- June 2015
- June 2014
- June 2013
- January 2013
- June 2012
- January 2012
- June 2011
- January 2011
- June 2010
- January 2010
- June 2009
- January 2009
- June 2008
- January 2008

Only a few questions on the following papers apply to the current specification.

S2

For worked papers, see the top of this section.