Statistics 1 - Cambridge University Press
Cambridge University Press978-1-316-60038-2 — Cambridge International AS and A Level Mathematics: Revised Edition Statistics 1 CoursebookSteve Dobbs , Jane Miller , Julian GilbeyFrontmatterMore InformationSteve Dobbs, Jane Miller and Julian GilbeyCambridge InternationalAS and A Level Mathematics:Statistics 1CoursebookRevised Edition in this web service Cambridge University Presswww.cambridge.org
Cambridge University Press978-1-316-60038-2 — Cambridge International AS and A Level Mathematics: Revised Edition Statistics 1 CoursebookSteve Dobbs , Jane Miller , Julian GilbeyFrontmatterMore InformationUniversity Printing House, Cambridge CB2 8BS, United KingdomCambridge University Press is part of the University of Cambridge.It furthers the University’s mission by disseminating knowledge in the pursuit ofeducation, learning and research at the highest international levels of excellence.Information on this title: education.cambridge.org Cambridge University Press 2016This publication is in copyright. Subject to statutory exceptionand to the provisions of relevant collective licensing agreements,no reproduction of any part may take place without the writtenpermission of Cambridge University Press.First published 2002Second edition 2016Printed in the United Kingdom by Latimer TrendA catalogue record for this publication is available from the British LibraryISBN 978-1-316-60038-2 PaperbackAdditional resources for this publication at www.cambridge.org/9781316600382Cambridge University Press has no responsibility for the persistence or accuracyof URLs for external or third-party internet websites referred to in this publication,and does not guarantee that any content on such websites is, or will remain,accurate or appropriate. Information regarding prices, travel timetables, and otherfactual information given in this work is correct at the time of irst printing butCambridge University Press does not guarantee the accuracy of such informationthereafter.notice to teachers in the ukIt is illegal to reproduce any part of this work in material form (includingphotocopying and electronic storage) except under the following circumstances:(i) where you are abiding by a licence granted to your school or institution by theCopyright Licensing Agency;(ii) where no such licence exists, or where you wish to exceed the terms of a licence,and you have gained the written permission of Cambridge University Press;(iii) where you are allowed to reproduce without permission under the provisionsof Chapter 3 of the Copyright, Designs and Patents Act 1988, which covers, forexample, the reproduction of short passages within certain types of educationalanthology and reproduction for the purposes of setting examination questions.Past paper examination questions throughout are reproduced by permission ofCambridge International Examinations.Cambridge International Examinations bears no responsibility for the exampleanswers to questions taken from its past question papers which are contained in thispublication.The exam-style questions, answers and commentary in this title are written by theauthor and have not been produced by Cambridge International Examinations.Image credits: Cover Georgette Douwma/Science Photo Library; Chapter 1Eshkin/Shutterstock; Chapter 2 echo3005/Shutterstock; Chapter 3 Sergey Nivens/Shutterstock; Chapter 4 ezraff yusoff/Shutterstock; Chapter 5 Marian Mais/Shutterstock; Chapter 6 ktsdesign/Shutterstock; Chapters 7, 9 Ken Schulze/Shutterstock; Chapter 8 DanielAngmel/Shutterstock in this web service Cambridge University Presswww.cambridge.org
Cambridge University Press978-1-316-60038-2 — Cambridge International AS and A Level Mathematics: Revised Edition Statistics 1 CoursebookSteve Dobbs , Jane Miller , Julian GilbeyFrontmatterMore InformationContentsIntroductionvi1Representation of data11.1Introduction21.2Stem-and-leaf diagrams51.3Histograms101.4Cumulative frequency graphs191.5Practical activities2123Measures of location252.1Introduction262.2The median262.3Finding the median from a frequency table272.4The mean292.5Summation notation292.6Calculating the mean from a frequency table302.7Making the calculation of the mean easier322.8The mode and the modal class342.9Comparison of the mean, median and mode352.10 Practical activities37Measures of spread413.1Introduction423.2The range423.3The interquartile range433.4The ive-number summary473.5Box-and-whisker plots483.6Outliers503.7Variance and standard deviation523.8Proof of the equivalence of the variance formulae553.9Calculating variance from a frequency table563.10 Making the calculation of variance easier583.11 Choosing how to represent data613.12 Practical activities63 in this web service Cambridge University Pressiiiwww.cambridge.org
Cambridge University Press978-1-316-60038-2 — Cambridge International AS and A Level Mathematics: Revised Edition Statistics 1 CoursebookSteve Dobbs , Jane Miller , Julian GilbeyFrontmatterMore ng probability724.2Probabilities of events734.3Addition of probabilities764.4Conditional probability784.5Independent events824.6Practical activities85Permutations and combinations925.1Permutations935.2Permutations when the objects are not distinct965.3Combinations985.4Applications of permutations and combinations101Probability distributions1116.1Discrete random variables1126.2An important property of a probability distribution1166.3Using a probability distribution as a model119The binomial distribution1227.1The binomial distribution1237.2Using the binomial distribution as a model1287.3Practical activities130Expectation and variance of a random variable1348.1Expectation1358.2The variance of a random variable1378.3The expectation and variance of a binomial distribution141The normal distribution1489.1Modelling continuous variables1499.2The normal distribution1529.3The standard normal distribution1549.4Standardising a normal distribution1599.5Modelling with the normal distribution1629.6Practical activities1649.7The normal distribution as an approximation to thebinomial distribution166 in this web service Cambridge University Presswww.cambridge.org
Cambridge University Press978-1-316-60038-2 — Cambridge International AS and A Level Mathematics: Revised Edition Statistics 1 CoursebookSteve Dobbs , Jane Miller , Julian GilbeyFrontmatterMore InformationContentsRevision exercise177Practice exam-style papers181The normal distribution function185Answers187Index200v in this web service Cambridge University Presswww.cambridge.org
Cambridge University Press978-1-316-60038-2 — Cambridge International AS and A Level Mathematics: Revised Edition Statistics 1 CoursebookSteve Dobbs , Jane Miller , Julian GilbeyFrontmatterMore InformationIntroductionCambridge International AS and A Level Mathematics has been written especially forthe Cambridge International Examinations syllabus 9709. There is one bookcorresponding to each syllabus unit, except that units P2 and P3 are contained in asingle book. This book is the irst Probability and Statistics unit, S1.The syllabus content is arranged by chapters which are ordered so as to provide aviable teaching course. A few sections include important results that are dificult toprove or outside the syllabus. These sections are marked with a vertical coloured barin the section heading, and there is usually a sentence early on explaining preciselywhat it is that the student needs to know.Some paragraphs within the text appear in this type style. These paragraphs are usuallyoutside the main stream of the mathematical argument, but may help to give insight,or suggest extra work or different approaches.Graphic calculators are not permitted in the examination, but they can be useful aidsin learning mathematics. In the book the authors have noted where access to graphiccalculators would be especially helpful but have not assumed that they are availableto all students.The authors have assumed that students have access to calculators with built-instatistical functions.viNumerical work is presented in a form intended to discourage prematureapproximation.In ongoing calculations inexact numbers appear in decimal form like 3.456.,signifying that the number is held in a calculator to more places than are given.Numbers are not rounded at this stage; the full display could be either 3.456 123or 3.456 789. Final answers are then stated with some indication that they areapproximate, for example ‘1.23 correct to 3 signiicant igures’.Most chapters contain Practical activities. These can be used either as anintroduction to a topic, or, later on, to reinforce the theory. There are also plenty ofexercises, and each chapter ends with a Miscellaneous exercise which includes somequestions of examination standard. There is a Revision exercise, and two Practiceexamination-style papers.In some exercises a few of the later questions may go beyond the likely requirementsof the examination, either in dificulty or in length or both. Some questions aremarked with a vertical coloured bar which indicates that they require knowledge ofresults outside the syllabus.Cambridge University Press would like to thank Cambridge InternationalExaminations for permission to use past paper examination questions.The authors thank Cambridge International Examinations and Cambridge UniversityPress for their help in producing this book. However, the responsibility for the text,and for any errors, remains with the authors.Steve Dobbs and Jane Miller, 2002 in this web service Cambridge University Presswww.cambridge.org
Cambridge University Press978-1-316-60038-2 — Cambridge International AS and A Level Mathematics: Revised Edition Statistics 1 CoursebookSteve Dobbs , Jane Miller , Julian GilbeyFrontmatterMore InformationIntroduction IntroductionIntroduction to the revised editionThis revised edition has been prepared to bring this textbook in line with the currentversion of the Cambridge International Examinations speciication. Most of theoriginal edition has been left unchanged to assist teachers familiar with the originaledition; this includes section numbers, question numbers and so on. New text hasbeen added in Section 1.2 discussing back-to-back stem-and-leaf diagrams. A questionhas been added to Exercise 1A, and two questions have been modiied in Chapter 3to relect this. Two questions have been added to Exercise 3C on using coding tocalculate variance. In Chapter 4, it is noted that ‘exclusive events’ is an alternative to‘mutually exclusive events’, as this is the nomenclature favoured by the examinationboard. Also in Chapter 4, Section 4.5 on independent events has been enlargedslightly, with a note that two events can be identiied as independent ifP(A and B) P(A) P(B) and two new examples. In Chapter 5, more modernnotation for the number of permutations has been introduced. Two new illustrativeexamples, 5.4.5 and 6.2.3, have been added in light of several recent examinationquestions on this theme.The other major change in this edition is the replacement of all of the older OCRexamination questions in the exercises by more recent Cambridge InternationalExaminations questions. This will be of beneit to students preparing for the currentstyle of examination questions. In order to maintain the numbering of the otherquestions, the newer questions have been slotted in to the exercises. While this hasinevitably meant some loss of order within the miscellaneous exercises, it was feltto be more than compensated for by the preservation of the original numbering.In a few of the exercises, an insuficient number of past paper questions wereavailable to replace the existing questions; in these cases, the exercises have beenshortened. In Chapters 3 and 8, there are many recent examination questions andso the miscellaneous exercises have been extended to include illustrative examples.Further past papers can, of course, be requested from Cambridge InternationalExaminations. All questions and answers taken from Cambridge InternationalExaminations past papers have been clearly referenced. All other questions andanswers have been written by the authors of this book.viiThe editor of this edition thanks Cambridge International Examinations andCambridge University Press, in particular Cathryn Freear and Andrew Briggs, fortheir great help in preparing this revised edition.Julian GilbeyLondon, 2016 in this web service Cambridge University Presswww.cambridge.org
Cambridge International AS and A Level Mathematics has been written especially for the Cambridge International Examinations syllabus 9709. There is one book corresponding to each syllabus unit, except that units P2 and P3 are contained in a single book. This book is the rst Probability and Statistics unit, S1. The syllabus content is arranged by chapters which are ordered so as to provide a .
Cambridge University Press 978-1-107-63581-4 – Cambridge Global English Stage 6 Jane Boylan Kathryn Harper Frontmatter More information Cambridge Global English Cambridge Global English . Cambridge Global English Cambridge Global English
The Cambridge Companion to Bede. Cambridge Companions to Literature. Cambridge: Cambridge University Press, 2010. Evans, G.R. The Language and Logic of the Middle Ages: The Earlier Middle Ages. Cambridge: Cambridge University Press, 1984. ———. The Language and Logic of the Middle Ages: The Road to Reformation. Cambridge: Cambridge .
Cambridge Primary Checkpoint Cambridge Secondary 1 (11–14 years*) Cambridge Secondary 1 Cambridge Checkpoint Cambridge Secondary 2 (14–16 years*) Cambridge IGCSE Cambridge Advanced (16–19 years*) Cambridge International AS and A Cambridge Pre-
CAMBRIDGE PRIMARY Science Learner’s Book 2. Cambridge University Press 978-1-107-61139-9 – Cambridge Primary Science Stage 2 Jon Board and Alan Cross Frontmatter . The Cambridge Primary Science series has been developed to match the Cambridge International Examinations Primary Science
1 Cambridge University Press, 1996. BS511.2 .C35 1998 Cambridge companion to biblical interpretation / edited by John Barton. 1 Cambridge University Press, 1998. B188 .C35 1999 Cambridge companion to early Greek philosophy / edited by A.A. Long. 1 Cambridge University Press, 1999. B2430.F724 C36 1994 Cambridge companion to Foucault / edited by
Cambridge ESOL/Cambridge University Press. Research Notes Issue 18 (2004) – IELTS, Some frequently asked questions. Cambridge ESOL/Cambridge University Press. Davies, A. et al. (1999). Dictionary of English Language Testing. Cambridge ESOL/Cambridge University Press. In te grated Ski l l s
978-1-107-67807-1 – Cambridge Global English Stage 7 Chris Barker and Libby Mitchell Peter Lucantoni Excerpt More information and. Cambridge University Press Excerpt More information. Cambridge University Press Cambridge University Press .
Cambridge International GCE Advanced Subsidiary and Advanced level (AS and A level) 47 Cambridge International General Certificate of Secondary Education (Cambridge IGCSE)/Cambridge International Certificate of Education (Cambridge ICE)/Cambridge GCE Ordinary level (Cambridge O level) 47 Cambridge International Diploma in Business 48 European Baccalaureate (EB) 65 International Baccalaureate .
