# Statistics S1

When studying pure mathematics at AS and A2 level you will be extending your knowledge of such topics as algebra and trigonometry as well as learning some brand new ideas such as calculus. While many of the ideas you will meet in pure mathematics are interesting in their own right, they also serve as an important foundation for other branches of mathematics, especially mechanics and statistics.

### Unit Content

1. Chapter 1 Mathematical Models in Probability and Statistics (S1) In this session, you will learn about Mathematical Models in Probability and Statistics, one of the 6 topics you need to be knowledgeable in to master the Unit S1 paper in Mathematics. After completing this session, you will be able to understand the process of mathematical modelling, know the stages of the modelling process, as well as be able to discuss whether or not assumptions are reasonable.
0 Concepts, 0 Quizzes
2. Chapter 2 Representation and Summary of Data (S1) In this session, you will learn about Representation and Summary of Data, one of the 6 topics you need to be knowledgeable in to master the Unit S1 paper in Mathematics. After completing this session, you will be able to recognise different types of data, find the mean, mode, median, quartiles, range, interquartile range, variance and standard deviation for discrete data presented as a list and in a table as well as continuous data presented in a grouped frequency table, use coding to make calculations of measures of location and dispersion simpler, draw stem and leaf diagrams, calculate outliers, draw box plots, draw histograms, work out whether data are skewed, as well as compare sets of data.
0 Concepts, 0 Quizzes
3. Chapter 3 Probability (S1) In this session, you will learn about Probability, one of the 6 topics you need to be knowledgeable in to master the Unit S1 paper in Mathematics. After completing this session, you will be able to understand common terms used in probability and solve simple probability questions, use set notation and Venn diagrams to solve probability problems with two or three events, use given formulae to find probabilities, understand conditional probability and how it relates to tree diagrams, understand mutually exclusive and independent events including sampling with and without replacement, as well as find probabilities using arrangements.
0 Concepts, 0 Quizzes
4. Chapter 4 Correlation and Regression (S1) In this session, you will learn about Correlation and Regression, one of the 6 topics you need to be knowledgeable in to master the Unit S1 paper in Mathematics. After completing this session, you will be able to show diagrammatically pairs of observations of variables, be able to decide if there is a relationship between the variables, put a numerical measure on the strength of this relationship, simplify calculations by using coding, calculate product moment correlation coefficients, understand the limitations of product moment correlation coefficients, understand the idea of independent and dependent variables, work out the regression equation of a line which best fits the trend of the points on a scatter diagram, as well as apply and interpret the regression equation.
0 Concepts, 0 Quizzes
5. Chapter 5 Discrete Random Variables (S1) In this session, you will learn about Discrete Random Variables, one of the 6 topics you need to be knowledgeable in to master the Unit S1 paper in Mathematics. After completing this session, you will be able to understand what a discrete random variable is, understand how discrete random variables arise, be able to find the cumulative distribution function of a discrete random variable, find the mean and variance of a discrete random variable, as well as be able to use the discrete uniform distribution.
0 Concepts, 0 Quizzes
6. Chapter 6 The Normal Distribution (S1) In this session, you will learn about The Normal Distribution, one of the 6 topics you need to be knowledgeable in to master the Unit S1 paper in Mathematics. After completing this session, you will be able to use the normal distribution and its tables to find probabilities, use the normal distribution and its tables to find means, as well as use the normal distribution and its tables to find standard deviations.
0 Concepts, 0 Quizzes

### Unit Structure ### Prerequisites and Requirements

Students who have achieved a grade of 'C' or higher in their IGCSE, GCSE, or any other equivalent 'O' Level Mathematics.

### What's Next?

Core Mathematics
C12 Edexcel International A Level Mathematics