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Statistics A Level PDF

289 Pages·1991·34.438 MB·English
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A. D. Ball and G. D. Buckwell MACMILLAN ©A.D.BallandG.D.Buckwell 1986,1991 Allrightsreserved.Noreproduction,copyortransmissionofthis publicationmaybemadewithoutwrittenpermission. Noparagraphofthispublication maybereproduced,copiedor transmittedsavewithwrittenpermissionorinaccordancewiththe provisionsoftheCopyright,DesignsandPatentsAct 1988,orunderthe termsofanylicencepermitting limitedcopyingissuedbytheCopyright LicensingAgency,90TottenhamCourtRoad,LondonWIP9HE. Anypersonwhodoesanyunauthorisedactinrelationtothispublication maybeliabletocriminalprosecutionandcivilclaimsfordamages. Firstedition 1986 Reprinted (withcorrections) 1987,1989,1990 Secondedition 1991 Publishedby MACMILLAN PRESSLTD Houndmills,Basingstoke,Hampshire RG216XS andLondon Companiesandrepresentatives throughouttheworld ISBN978-0-333-64386-0 ISBN978-1-349-13856-2(eBook) DOI 10.1007/978-1-349-13856-2 AcataloguerecordforthisbookisavailablefromtheBritishLibrary. 10 98765 00 99 98 97 96 95 ' 861 for effective revision ~ Presentation Of Statistics Start and completion column Keeps tabs on your progress - Syllabus analysis see at a glance which Ensures you only do areas still need to be the topics you need worked through - no more, no less Frequency Curves & Polygons Cumulative Frequency For you to note how well you've done or areas which need to Chapter breakdown Shows you in detail what is covered in the chapters V VI 7 7.5 37 .56 74 87 704 727 734 7.54 774 786 202 227 239 26.5 277 278 Syllabuses and past examination papers can be obtained from: The Associated Examining Board (AEB) Publications Department Stag Hill House Guildford Surrey GU2 5XJ University of Cambridge Local Examinations Syndicate (UCLES) Syndicate Buildings 1 Hills Road Cambridge CB1 2EU Northern Examinations, and Assessment Board (incorporating) Joint Matriculation Board (JMB) 12 Harter Street Manchester M16 HL University of London Examinations and Assessment Council (incorporating) University of London School Examinations Board (L) ULEAC Publications Unit 3 River Park Industrial Estate Billet Lane Berkhamsted Hertfordshire HP41EL University of Oxford Delegacy of Welsh Joint Education Committee Local Examinations (OLE) (WJEC) Ewert House 245 Western Avenue Ewert Place Cardiff Summertown CF52VX Oxford OX2 7BZ Northern Ireland Council for the Oxford and Cambridge Schools Curriculum, Examinations and Examination Board (0 & C) Assessment (incorporating) Purbeck House Northern Ireland Schools Purbeck Road Examination Council (NISEC) Cambridge CB2 2PU Examinations Office Scottish Examination Board (SEB) Beechill House Robert Gibson & Sons (Glasgow) 42 Beechill Road Ltd Belfast BT8 4RS 17 Fitzroy Place Glasgow G3 7SF Although intended for A and AS Level studentsfollowing a course in statistics, first year or university students who are either meeting statistics for the first time or who require a refresher course, would find that this book contains useful support material. How to Use this Book The topics included in Work Out Statistics A-Level cover the syllabuses of all examining boards at A-Level in the subject. In particular, your attention is drawn to chapter 15 which has been included to cover those areas which are examined but are often not contained in textbooks. The chapter headings follow the systematic order offered by most contemporary textbooks. Most topics contain worked solutions of past paper questions from examining boards. As different boards and papers take the subject to varyinglevels,so some topic areas will prove to be quite difficult. Such topics and worked examples have been marked with an asterisk (*) and you need not work through these sections if they are not givenparticular emphasis on your syllabus. vi Revision The course you are following will normally be a subset of the contents of this book.It is therefore important to know yoursyllabus. (Syllabuses and past papers can be obtained from the examination boards listed on pp.ix-x). Once you have eliminated the chapters/topics which you do not require, revise a topic at a time trying the appropriate worked examples and then comparing your answer with the worked solution. The exercises at the end ofeach chapter have been carefully chosen to cover fully the subject area in that chapter, so try to answer as many of these as possible before referring to the answers at the back ofthe book. Included in the answer section are some hints on the solution ofeach exercise; these should help you to understand where you are going wrong if your answer is different from the one given by the authors. Most numerical solutions in this book have been worked using four-figure accuracy. Slight numerical differences may exist between your answers if you have worked to a higher degree of accuracy. However, the authors feel that for examination questions whichareto take lessthan 30 minutes each, a higher degree of accuracy is time consuming and unnecessary for the purpose of solving the problem. It is important that you should familiarise yourself with the statistical tables that you are to use during the examination as they may vary from one examina tion board to another. Remember to start your revision in good time and use this book as a positive aid to the active and thorough knowledge ofyour statistics course. vii For GCSE examinations Accounting Biology Business Studies Chemistry Computer Studies English Key Stage 4 French (cassette and pack available) Geography German (cassette and pack available) Modern World History Human Biology Core Maths Key Stage 4 Revise Mathematics to further level Physics Religious Studies Science Social and Economic History Spanish (cassette and pack available) Statistics For ALevel examinations Accounting Biology Business Studies Chemistry Economics English French (cassette and pack available) Mathematics Physics Psychology Sociology Statistics 1L 1L * * * * ~ ~ .....l .....l u*. *u. 1L 1L [f3 [f3 [f3 [f3 0 0 c:Q c:Q "E u u Date Date Self Uc<:JQ: Uc<:JQ: :U..:..>.l :U..:..>.l :U..:..>.l U:..:.>..l .~....l .~....l ~ ~<: .0.>E< 0o'd 0o'd attempted completed Assessment '" '" X X '" '" '" '" '" '" X '" '" "''''xx "''''''''''''''''x'''''' "''''xx "''''''''''''''''x'''''' F*=Further M*=Modular L*=Linear

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