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1、目录SectionA………………………………………………………………………1Representationofdata.Measuresoflocation.MeasuresofspreadSectionB………………………………………………………………………9ProbabilitySectionC………………………………………………………………………14PermutationsandcombinationsSectionD………………………………………………………………………19ProbabilitydistributionsExpectationandVarianceofarando
2、mVariableSectionE………………………………………………………………………22ThebinomialdistributionSectionF………………………………………………………………………26ThenormaldistributionAnswer…………………………………………………………………………30SectionA………………………………………………………………………30SectionB………………………………………………………………………36SectionC………………………………………………………………………39SectionD……………………………………
3、…………………………………40SectionE………………………………………………………………………42SectionF………………………………………………………………………44SectionARepresentationofdataMeasuresoflocationMeasuresofspread1Theweightsinkilogramsoftwogroupsof17-year-oldmalesfromcountryPandcountryQaredisplayedinthefollowingback-to-backstem-and-leafdiagram.Inthethirdro
4、wofthediagram,...4
5、7
6、1...denotesweightsof74kgforamaleincountryPand71kgforamaleincountryQ.(02w)(i)FindthemedianandquartileweightsforcountryQ.[3](ii)Youaregiventhatthelowerquartile,medianandupperquartileforcountryPare84,94and98kgrespectively.Onasinglediagramongraphpaper,drawtwobox-and-whiskerplots
7、ofthedata.[4](iii)Maketwocommentsontheweightsofthetwogroups.[2]2(i)(03s)ThediagramrepresentsthesalesofSuperclenetoothpasteoverthelastfewyears.Giveareasonwhyitismisleading.[1](ii)Thefollowingdatarepresentthedailyticketsalesatasmalltheatreduringthreeweeks.52,73,34,85,62,79,89,50,45,83,84,91,85,84,
8、87,44,86,41,35,73,86.(a)Constructastem-and-leafdiagramtoillustratethedata.[3](b)Useyourdiagramtofindthemedianofthedata.[1]3Arandomsampleof97peoplewhoownmobilephoneswasusedtocollectdataontheamountoftimetheyspentperdayontheirphones.Theresultsaredisplayedinthetablebelow.(03s)Timespentperday(tminute
9、s)0≤t<55≤t<1010≤t<2020≤t<3030≤t<4040≤t<70Numberofpeople11203218106(i)Calculateestimatesofthemeanandstandarddeviationofthetimespentperdayonthesemobilephones.[5](ii)Ongraphpaper,drawafullylabelledhistogramtorepresentthedata.[4
