Noteful Mathematics

• Understand and be able to use the terms population and sample.
• Be able to use samples to make informal inferences about the population.
• Understand and be able to use sampling techniques including simple random sampling and opportunity sampling.
• Select or critique sampling technqiues in the context of solving a statistical problem.
• Understand that different samples can lead to different conclusions about the population.
• Be familiar with and be able to critique systematic, stratified, cluster and quota sampling.

• Interpret tables and diagrams for single-variable data: vertical line charts, dot plots, bar charts, stem-and-leaf diagrams, box-and-whisker plots, cumulative frequency diagrams and histograms.
• Understand, in context, the advantages and disadvantages of different statistical diagrams.
• Interpret scatter diagrams and regression lines for bivariate data.
• Recognise scatter diagram which include distinct sections of the population.
• Understand informal interpretation of correlation.
• Understand that correlation does not imply causation.
• Calculate and interpret measures of central tendency and variation including mean,median,mode,percentile,quartile,inter-quartile range, standard deviation and variance.
• Understand standard deviation is the root mean square deviation from the mean.
• Use the mean and standard deviation to compare distributions.
• Calculate mean and standard deviation from a list of data, from summary statistics or a frequency distribution using calculator statistical functions.
• Understand in the case of grouped frequency distribution the calculated mean and standard deviation are estimates.
• Recognise and be able to interpet possible outliers in data sets and statistical diagrams.
• Select or critique data presentation techniques in the context of a statistical problem.
• Be able to clean data, including dealing with missing data, errors and outliers.

Introduction

• Understand and be able to use mutually exclusive and independent events when calculating probabilities.
• Use appropriate diagrams to assist in the calculation of probabilities, including tree diagrams, sample space diagrams and Venn diagrams.

Set Notation

• Understand and use set notation and venn diagrams.

Conditional Probability

• Understand and be able to use conditional probabilty, including the use of tree diagrams, Venn diagrams and two-way tables.
• Understand the concept of conditial probability and calculate it from first principles in given contexts.
• Understand and be able to use the conditional probability formula.

Modelling Examples

• Be able to model with probability including critiquing asssumptions made and the likely effect of more realistic assumptions.

Summary

Discrete Probability Distributions

• Understand and be able to use simple, finite, discrete probability distributions, defined in the form of a table or formula

Binomial Probability Distributions

Summary

The Language of Hypothesis Testing

Hypothesis Testing and the Binomial Distribution

Hypothesis Testing and the Normal Distribution

Hypothesis Testing using Pearson's Correlation Coefficient