BOOK
Edexcel AS and A Level Modular Mathematics Statistics 1 S1
Greg Attwood | Alan Clegg | Jane Dyer | Gillian Dyer
(2016)
Additional Information
Book Details
Abstract
Edexcel and A Level Modular Mathematics S1 features:
- Student-friendly worked examples and solutions, leading up to a wealth of practice questions.
- Sample exam papers for thorough exam preparation.
- Regular review sections consolidate learning.
- Opportunities for stretch and challenge presented throughout the course.
- ‘Escalator section’ to step up from GCSE.
PLUS Free LiveText CD-ROM, containing Solutionbank and Exam Café to support, motivate and inspire students to reach their potential for exam success.
- Solutionbank contains fully worked solutions with hints and tips for every question in the Student Books.
- Exam Café includes a revision planner and checklist as well as a fully worked examination-style paper with examiner commentary.
Table of Contents
| Section Title | Page | Action | Price |
|---|---|---|---|
| Cover | Cover | ||
| Contents | ii | ||
| About this book | iv | ||
| Chapter 1: Mathematical models in probability and statistics | 1 | ||
| 1.1: What are mathematical models? | 2 | ||
| 1.2: Designing a mathematical model | 3 | ||
| Summary of key points | 5 | ||
| Chapter 2: Representation and summary of data - location | 6 | ||
| 2.1: Classification of variables | 7 | ||
| 2.2: Classification of quantitative variables into continuous or discrete variables | 7 | ||
| 2.3: Frequency tables and grouping data | 8 | ||
| 2.4: Measures of location | 12 | ||
| 2.5: Which is the correct measure of location? | 16 | ||
| 2.6: Calculating measures of location from a frequency distribution table | 17 | ||
| 2.7: Calculating measures of location for grouped data | 20 | ||
| 2.8: Coding | 24 | ||
| Summary of key points | 29 | ||
| Chapter 3: Representation and summary of data - measures of dispersion | 30 | ||
| 3.1: Range and quartiles | 31 | ||
| 3.2: Percentiles | 36 | ||
| 3.3: Standard deviation and variance for discrete data | 39 | ||
| 3.4: Variance and standard deviation for a frequency table and grouped frequency distribution | 41 | ||
| 3.5: Coding | 45 | ||
| Summary of key points | 51 | ||
| Chapter 4: Representation of data | 52 | ||
| 4.1: Stem and leaf diagrams | 53 | ||
| 4.2: Outliers | 57 | ||
| 4.3: Box plots | 58 | ||
| 4.4: Using box plots to compare sets of data | 60 | ||
| 4.5: Representing data on a histogram | 61 | ||
| 4.6: Skewness | 66 | ||
| 4.7: Comparing the distributions of data sets | 69 | ||
| Summary of key points | 76 | ||
| Chapter 5: Probability | 77 | ||
| 5.1: Probability vocabulary | 78 | ||
| 5.2: Solving probability problems by drawing Venn diagrams | 80 | ||
| 5.3: Using formulae to solve problems | 85 | ||
| 5.4: Solving problems using conditional probability | 87 | ||
| 5.5: Conditional probabilities on tree diagrams | 91 | ||
| 5.6: Mutually exclusive and independent events | 95 | ||
| 5.7: Solving probability problems | 101 | ||
| Summary of key points | 107 | ||
| Review Exercise 1 | 108 | ||
| Chapter 6: Correlation | 114 | ||
| 6.1: Scatter diagrams | 115 | ||
| 6.2: Calculating measures for the variability of bivariate data | 119 | ||
| 6.3: Using the product moment correlation coefficient, r | 121 | ||
| 6.4: Determining the strength of a linear relationship | 124 | ||
| 6.5: The limits of the product moment correlation coefficient | 125 | ||
| 6.6: Coding | 127 | ||
| Summary of key points | 133 | ||
| Chapter 7: Regression | 134 | ||
| 7.1: Connecting variables | 135 | ||
| 7.2: Independent and dependent variables | 136 | ||
| 7.3: Minimising the sum of the squares of the residuals | 137 | ||
| 7.4: Coding | 140 | ||
| 7.5: The regression equation | 142 | ||
| Summary of key points | 149 | ||
| Chapter 8: Discrete random variables | 150 | ||
| 8.1: Discrete random variables and random variables | 151 | ||
| 8.2: Specifying a variable | 152 | ||
| 8.3: Sum of probabilities | 153 | ||
| 8.4: Finding the probability that X is less than or greater than a value, or between two values | 156 | ||
| 8.5: The cumulative distribution function | 156 | ||
| 8.6: The mean or expected value of a discrete random variable | 159 | ||
| 8.7: The expected value for X2 | 161 | ||
| 8.8: The variance of a random variable | 163 | ||
| 8.9: The expected value and variance of a function of X | 165 | ||
| 8.10: Finding the mean and standard deviation of the original data given the mean and standard deviation of the coded data | 168 | ||
| 8.11: A model for the probability distribution | 170 | ||
| Summary of key points | 175 | ||
| Chapter 9: The normal distribution | 176 | ||
| 9.1: Use tables to find probabilities in the standard normal distribution Z | 177 | ||
| 9.2: Use tables to find the value of z given a probability | 179 | ||
| 9.3: Transform any normal distribution into Z and use tables | 182 | ||
| 9.4: Use normal tables to find µ and œ | 185 | ||
| 9.5: Use the normal distribution to answer questions in context | 189 | ||
| Summary of key points | 192 | ||
| Review Exercise 2 | 193 | ||
| Examination style paper | 198 | ||
| Appendix | 201 | ||
| Answers | 203 | ||
| Index | 218 |