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Tangents, normals and the second derivative
In this unit we look at find the equations of tangents and normals to curves, increasing and decreasing functions and the second derivative. All this builds on the fundamental notion that calculus tells...
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Introduction to Calculus
This is the first of three sections on differential calculus. This is significant branch of mathematics with lots of applications. It builds very nicely on other concepts in the course and those you are...
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Chi Squared Goodness of Fit and the T-Test
This page continues and extends our understanding of hypothesis testing, the act of creating a hypothesis about what you believe about the association between variables, data sets or distributions and...
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Squared Independence tests
The chi squared independence tests is a widely used technique for looking for a relationship between variables that are categorical. We can use a scatter graph to look for a relationship between GDP and...
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Spearman's Rank Correlation Coefficient Free
Analysing how closely two things are correlated is incredibly useful to ascertain exactly how strongly one variable affects another. Whilst helpful if the data is approximately linear, Pearson's Product...
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Normal Distribution Free
The normal distribution is a fascinating, naturally occurring phenomenon that has very relevant applications to understanding the world around us. When a data set is normally distributed it has some key...
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Binomial Distribution
Key Concepts In this unit you should learn to… understand what types of data are binomially distributed be familiar using binomial notation calculate the expected value, standard deviation and variance...
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Discrete random variables
Random variables are a set of possible outcomes from a random experiment. They can either be discrete or continuous. In this chapter we will find out more about discrete random variables, how they can...
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Probability
This unit is all about probability - the study of chance. For many students, much of this is revision of previous experiences with some new ideas thrown in. The unit covers the fundamental ideas, language...
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Bivariate data & Linear Correlation
This topic is all about looking for relationships between variables. Does life expectancy depend on GDP? By collecting 2 variables about the things we survey we can use scatter graphs to represent the...