2-1Chapter2DescriptiveStatistics:TabularandGraphicalMethodsLearningObjectives1.Learnhowtoconstructandinterpretsummarizationproceduresforqualitativedatasuchas:frequencyandrelativefrequencydistributions,bargraphsandpiecharts.2.Learnhowtoconstructandinterprettabularsummarizationproceduresforquantitativedatasuchas:frequencyandrelativefrequencydistributions,cumulativefrequencyandcumulativerelativefrequencydistributions.3.Learnhowtoconstructadotplot,ahistogram,andanogiveasgraphicalsummariesofquantitativedata.4.Beabletouseandinterprettheexploratorydataanalysistechniqueofastem-and-leafdisplay.5.Learnhowtoconstructandinterpretcrosstabulationsandscatterdiagramsofbivariatedata.Chapter22-2DescriptiveStatistics:TabularandGraphicalMethods2-3Solutions:1.ClassFrequencyRelativeFrequencyA6060/120=0.50B2424/120=0.20C3636/120=0.301201.002.a.1-(.22+.18+.40)=.20b..20(200)=40c/dClassFrequencyPercentFrequencyA.22(200)=4422B.18(200)=3618C.40(200)=8040D.20(200)=4020Total2001003.a.360°x58/120=174°b.360°x42/120=126°c.Yes48.3%NoOpinion16.7%No35%Chapter22-4d.010203040506070YesNoNoOpinionResponseFrequency4.a.Thedataarequalitative.b.TVShowFrequencyPercentFrequencyMillionaire2448Frasier1530ChicagoHope714Charmed48Total:50100DescriptiveStatistics:TabularandGraphicalMethods2-5c.051015202530MillionaireFrasierChicagoCharmedTVShowFrequencyMillionaire48%Frasier30%Chicago14%Charmed8%d.Millionairehasthelargestmarketshare.Frasierissecond.5.a.MajorRelativeFrequencyPercentFrequencyManagement55/216=0.2525Accounting51/216=0.2424Finance28/216=0.1313Marketing82/216=0.3838Total1.00100Chapter22-6b.0102030405060708090ManagementAccountingFinanceMarketingMajorFrequencyc.PieChart6.a.BookFrequencyPercentFrequency7Habits1016.66Millionaire1626.67Motley915.00Dad1321.67WSJGuide610.00DescriptiveStatistics:TabularandGraphicalMethods2-7Other610.00Total:60100.00TheErnst&YoungTaxGuide2000withafrequencyof3,InvestingforDummieswithafrequencyof2,andWhatColorisYourParachute?2000withafrequencyof1aregroupedintheOthercategory.b.Therankorderfromfirsttofifthis:Millionaire,Dad,7Habits,Motley,andWSJGuide.c.ThepercentofsalesrepresentedbyTheMillionaireNextDoorandRichDad,PoorDadis48.33%.7.RatingFrequencyRelativeFrequencyOutstanding190.38VeryGood130.26Good100.20Average60.12Poor20.04501.00Managementshouldbepleasedwiththeseresults.64%oftheratingsareverygoodtooutstanding.84%oftheratingsaregoodorbetter.Comparingtheseratingswithpreviousresultswillshowwhetherornottherestaurantismakingimprovementsinitsratingsoffoodquality.8.a.PositionFrequencyRelativeFrequencyPitcher170.309Catcher40.0731stBase50.0912ndBase40.0733rdBase20.036Shortstop50.091LeftField60.109CenterField50.091RightField70.127551.000b.Pitchers(Almost31%)c.3rdBase(3-4%)d.RightField(Almost13%)e.Infielders(16or29.1%)toOutfielders(18or32.7%)9.a/b.StartingTimeFrequencyPercentFrequency7:003157:304208:004208:307359:0021020100Chapter22-8c.BarGraph0123456787:007:308:008:309:00StartingTimeFrequencyd.9:0010%8:3035%7:0015%7:3020%8:0020%e.Themostpreferredstartingtimeis8:30a.m..Startingtimesof7:30and8:00a.m.arenext.10.a.Thedatarefertoqualitylevelsofpoor,fair,good,verygoodandexcellent.b.RatingFrequencyRelativeFrequencyPoor20.03Fair40.07Good120.20VeryGood240.40Excellent180.30601.00DescriptiveStatistics:TabularandGraphicalMethods2-9c.BarGraph051015202530PoorFairGoodVeryGoodExcellentRatingFrequencyPieChartd.Thecourseevaluationdataindicateahighqualitycourse.Themostcommonratingisverygoodwiththesecondmostcommonbeingexcellent.11.ClassFrequencyRelativeFrequencyPercentFrequency12-1420.0505.015-1780.20020.018-20110.27527.521-23100.25025.524-2690.22522.5Chapter22-10Total401.000100.012.ClassCumulativeFrequencyCumulativeRelativeFrequencylessthanorequalto1910.20lessthanorequalto2924.48lessthanorequalto3941.82lessthanorequalto4948.96lessthanorequalto59501.0013.02468101214161810-1920-2930-3940-4950-59Frequency.2.4.6.8010203040501.060DescriptiveStatistics:TabularandGraphicalMethods2-1114.a.b/c.ClassFrequencyPercentFrequency6.0-7.94208.0-9.921010.0-11.984012.0-13.931514.0-15.93152010015.a/b.WaitingTimeFrequencyRelativeFrequency0-440.205-980.4010-1450.2515-1920.1020-2410.05Totals201.00c/d.WaitingTimeCumulativeFrequencyCumulativeRelativeFrequencyLessthanorequalto440.20Lessthanorequalto9120.60Lessthanorequalto14170.85Lessthanorequalto19190.95Lessthanorequalto24201.00e.12/20=0.6016.a.StockPrice($)FrequencyRelativeFrequencyPercentFrequency10.00-19.99100.404020.00-29.9940.161630.00-39.9960.242440.00-49.9920.08850.00-59.9910.04460.00-69.9920.088Total251.00100Chapter22-1202468101210.00-19.9920.00-29.9930.00-39.9940.00-49.9950.00-59.9960.00-69.99StockPriceFrequencyManyofthesearelowpricedstockswiththegreatestfrequencyinthe$10.00to$19.99range.b.EarningsperShare($)FrequencyRelativeFrequencyPercentFrequency-3.00to-2.0120.088-2.00to-1.0100.000-1.00to-0.0120.0880.00to0.9990.36361.00to1.9990.36362.00to2.9930.1212Total251.00100DescriptiveStatistics:TabularandGraphicalMethods2-13012345678910-3.00to-2.01-2.00to-1.01-1.00to-0.010.00to0.991.00to1.992.00to2.99EarningsperShareFrequencyThe