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.