Linear Transformations of Data Why are linear transformations of data used? Sometimes data might be very large or very small You can apply a linear transformation to the data to make the values mor...
Ungrouped Data How are frequency tables used for ungrouped data? Frequency tables can be used for ungrouped data when you have lots of the same values within a data set They can be used to collect ...
Mean, Mode, Median What are the mean, mode and median? Mean, median and mode are measures of central tendency They describe where the centre of the data is They are all types of averages In statist...
Methods of Data Collection How do I choose variables to investigate? Keep the number of variables you investigate to a minimum Too many variables at once can be overwhelming It can be time-consumin...
Types of Data What are the different types of data? Qualitative data is data that is usually given in words not numbers to describe something For example: the colour of a teacher's car Quantitativ...
This revision note discusses more complex situations for the travelling salesman problem and you may wish to refer to the revision note 3.10.5 Travelling Salesman Problem. Table of Least Distances ...
Hamiltonian Paths & Cycles What are Hamiltonian paths and cycles? A path is a walk in which no vertices are repeated A Hamiltonian path is a path in which each vertex in a graph is visited exac...
Eulerian Trails & Circuits What are Eulerian trails and circuits? A trail is a walk in which no edge is repeated An Eulerian trail is a trail that visits each edge in a graph exactly once A cir...
Kruskal's Algorithm In a situation that can be modelled by a graph, Kruskal’s algorithm is a mathematical tool that can be used to reduce costs, materials or time. Why do we use Kruskal’s Algorithm...
Walks & Adjacency Matrices Adjacency matrices are another way to represent graphs and connections between the different vertices. What is an adjacency matrix? An adjacency matrix can be used to...
Parts of a Graph A graph is a mathematical structure that is used to represent objects and the connections between them. They can be used in modelling many real-life applications, e.g. electrical c...
Vectors & Constant Velocity How are vectors used to model linear motion? If an object is moving with constant velocity it will travel in a straight line For an object moving in a straight line ...
