Advanced Mathematical Concepts - Precalculus with Applications chap14

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1、Chapter14Unit4DiscreteMathematics(Chapters12–14)SSTATATISTICSANDTISTICSANDDDATAATAAANALYSISNALYSISCHAPTEROBJECTIVES•Makeandusebargraphs,histograms,frequencydistributiontables,stem-and-leafplots,andbox-and-whiskerplots.(Lessons14-1,14-2,14-3)•Findthemeasuresofcentraltendencyandt

2、hemeasuresofvariability.(Lessons14-2,14-3)•Usethenormaldistributioncurve.(Lesson14-4)•Findthestandarderrorofthemeantopredictthetruemeanofapopulationwithacertainlevelofconfidence.(Lesson14-5)888Chapter14StatisticsandDataAnalysis14-1TheFrequencyDistributionOBJECTIVESalWorledFOOTB

3、ALLTheAFL-NFLWorldChampionshipGame,asitwas•Draw,analyze,RandusebarAoriginallycalled,becametheSuperBowlin1969.Thegraphbelowpngraphsandplicatioshowsthefirst34SuperBowlwinners.Whatteamhaswonthemosthistograms.SuperBowls?•OrganizedataintoafrequencySuperBowlWinnersdistribution
1winta

4、ble.PackersChiefsCowboysSteelers49ersBearsBroncosJetsColtsDolphinsRaidersRedskinsGiantsRamsTeamBylookingatthegraph,youcanquicklydeterminethattheDallasCowboysandtheSanFrancisco49ershavebothwonfiveSuperBowls.Agraphisoftenusedtoprovideapictureofstatisticaldata.Oneadvantageofusinga

5、graphtoshowdataisthatapersoncaneasilyseeanyrelationshipsorpatternsthatmayexist.ThenumberofSuperBowlvictoriesforvariousteamsisdepictedasalineplot.Alineplotusessymbolstoshowfrequency.Abargraphcanshowthesameinformationbyusingbarstoindicatethefrequency.Aback-to-backbargraphisaspeci

6、albargraphthatshowsthecomparisonsoftwosetsofrelateddata.Aback-to-backgraphisplottedonacoordinatesystemwiththehorizontalscalerepeatedineachdirectionfromthecentralaxis.Example1ECONOMICSThefollowingdatarelatestheamountofeducationwiththeWomedianweeklyearningsofafull-timeworker25yea

7、rsoldorolderforthealrledyears1980and1997.RApnplicatioLessthan4YearsHighSchool1to3YearsCollegeofHighSchoolDiplomaofCollegeDegree1980$222$266$304$3761997$321$461$518$779Source:TheWallStreetJournal1999Almanaca.Makeaback-to-backbargraphthatrepresentsthedata.b.Describeanytrendsindic

8、atedbythegraph.(continuedonthenextpage)Lesson14-1TheFr