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Comprehensive Statistical Analysis and Probability Exam

Exam answers covering statistical analysis and probability concepts.

Claire Mitchell
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Comprehensive Statistical Analysis and Probability ExamAnswerall30questions. Makesure youranswers are ascompleteaspossible. Showall ofyourworkand reasoning. Inparticular,whenthereare calculationsinvolved,youmustshowhowyou come up withyouranswerswithcriticalworkand/or necessarytables. Answersthatcomestraightfrom programs or software packageswill not beaccepted.Thisexamhas300 total points.RefertothefollowingtableforQuestions1,2,and3.Showallwork.Justtheanswer,without supportingwork,will receivenocredit.Thetableshowstemperaturesonthefirst12daysofOctoberina smalltowninMaryland.DateTemperatureDateTemperatureDateTemperatureOct173Oct553Oct966Oct265Oct652Oct1075Oct365Oct762Oct1152Oct470Oct855Oct12571.Determinethefive-numbersummaryforthisdata.(10pts)2.Determinethemeantemperature.(3pts)3.Determinethemode(s),ifany.(2pts)1.Obtain the five-number summary for the given data.The ordered series needed to obtain the five-number summary is given below.525253555762656566707375Minimum = 52First Quartile =Mean of the 3rdand the 4thterms = (53 + 55)/2 = 54.5Median = Mean of the two middle terms = (62 + 65)/2 =127/2 = 63.5Third quartile =Mean ofthe 9thand the 10thterms = (66 + 70)/2 = 68Maximum = 752.The mean temperature is,

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