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首页 IGCSE-Statistics 统计学03900390_s04_er

IGCSE-Statistics 统计学03900390_s04_er.pdf

IGCSE-Statistics 统计学03900390_s0…

jennifer__jie
2012-03-04 0人阅读 举报 0 0 暂无简介

简介:本文档为《IGCSE-Statistics 统计学03900390_s04_erpdf》,可适用于高等教育领域

Mathematics:Statistics(HalfCredit)JuneCONTENTSMATHEMATICS:STATISTICS(HALFCREDIT)PaperPaperhttp:wwwxtremepapersnetMathematics:Statistics(HalfCredit)JuneMATHEMATICS:STATISTICS(HALFCREDIT)PaperPaperGeneralcommentsThispaperproducedawiderangeofmarksManyCentreshowever,enteredcandidateswhohadclearlynotcoveredthesyllabusandthiswasreflectedintheperformanceofthesecandidatesMostcandidatesansweredquestionstoasuitabledegreeofaccuracy,anditwaspleasingtoobservethatonlyafewlostmarksduetoprematureapproximationCandidatesseemedtohavesufficienttimetoanswerallthequestions,andonlytheweakeronesansweredquestionsoutoforderCandidatesfromsomeCentresdidnotappeartoknowanythingaboutthenormaldistributionTheuseofcleardiagramsinansweringthesequestionswouldhavehelpedmanycandidatestoearnmoremarks,asmanyfoundthewrongareafortheprobabilityCommentsonspecificquestionsQuestionThisquestionwaswelldonebynearlyeveryoneTherearestillsomeCentreswhodonotteachcandidatestouseSDmodeontheircalculators,andsotherewerepagesofworkingforthestandarddeviationwhenallthatwasrequiredwasasinglenumberfromtheircalculatorItistobehopedthatcandidatesrealisethatwhenonlyonemarkisgiven,theyarenotexpectedtodopagesofworkingThesecondpartwaswellanswered,withmanycandidateshavingagoodknowledgeoftherelationshipbetweenconsistencyandstandarddeviationAnswers:(i),(ii)teamB,smallerstandarddeviationQuestionThisquestionwasalittleunusualinthatgivingthedataintheformofquartilescouldhavebeenrepresentedbyaboxplotHowever,mostcandidatesdrewacrediblecumulativefrequencycurveAcumulativefrequencypolygonwasalsoacceptable,aswerepercentagecurvespolygonsHowever,somedidnotlabeltheiraxes,andmanychoseinappropriatescalesinordertofillthepagecompletelyTherewerescalesgoingupin,forexample,orororWhiletheuseofthesescaleswasnotpenalised,thesescalesinvariablymeantthatpointswereplottedwronglyandthuscandidatesdidlosemarksMostcandidatesrealisedthatthecumulativefrequencyvalueswere‘lessthan’andsosubtractedtofindthenumberofpeople‘morethan’Answer:(ii)Betweenandifacurvewasdrawn,orbetweenandifapolygonwasdrawnQuestionUnfortunatelythisquestionwascompletelymisunderstoodbyalargenumberofcandidateswhogaveaprobabilityofforeverythingMostknewwhatE(X)meantandwereabletopickupamarkhere,providingthattheirprobabilitiesinpart(i)werelessthanAnswers:(i)x(ii)E(X)==P(X=x)Mathematics:Statistics(HalfCredit)JuneQuestionThefirstpartofthisquestionwasstraightforwardandmostcandidateswhohadcoveredthenormaldistributionperformedwellonitContinuitycorrectionsinthispartgainednomarksThesecondpartgavecandidatesanopportunitytoshowtheirunderstandingItinvolvedhavingtothinkthroughasmallproblemandplanhowtosolveit,andwaswelldonebythegoodcandidatesAnswers:(i)(ii)QuestionThisquestionwastheworstattemptedonthewholepaperAfterthelasttwoyears’excellentpermutationandcombinationsolutions,itwasdisappointingtofindthatcandidatesfeltobligedtoputinsomepermutations,combinationsorfactorialswhereinfactstraightmultiplicationoftheoptionswasallthatwasrequiredVeryfewcandidatesreadthesmallprintatthefootofthemenu,aboutsaladandeithernewpotatoesorfrenchfries,andthusmissedafactorofPart(b)wasthebestattemptedpartofthisquestionAnswers:(a)(i),(ii)(b)QuestionAlargemajorityofcandidatesgainedfullmarksforthisquestion,andmostmanagedtodrawarespectabletreediagramAnswers:(ii)(iii)=QuestionThisprovedtobeagoodsourceofmarksforthosecandidateswhowerefamiliarwiththenormaldistributionanditsapproximationtothebinomialSomecandidatesthoughtthat‘atmost’meant‘exactly’or‘atleast’andsolostacoupleofmarksHowever,onthewhole,thisquestionwaswelldoneInpart(iii)thecontinuitycorrectionwasoftenused,althoughnotalwayscorrectlyAsurprisingnumberofcandidatesfailedtofindthecorrectareaincalculatingtheprobabilityadiagramwouldhavehelpedAnswers:(i)(ii)(iii)

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