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standarddeviation=(roundedtothenearestunit)PracticeProblemCalculatethestandarddeviationofthefollowingtestdatabyhanda(x)Differencefromthe mean(x–x)Sumof(Differencefromthemean)∑(x–x)StandardDeviationfromVarianceStandardDeviation=√=)[6,1,,,8]=[1,6,8,,]RangeRange=[1, 6,8,,]=VarianceNumberofDataPoints=•Mean=(1++++)/=/=•SumofSquaredDeviationfromMean=()2+()2+()2+()2+()2PracticeProblems: StandardDeviationsandVarianceAnswersWhatismeasuredbyeachofthefollowing:SumofSquares(SS)=thesumofsquareddeviationscoresVariance=the meansquareddeviationStandardDeviation=thesquarerootofthevarianceThenumbersinthelistareanaverageofunitsawayfrom)Mean=5Median=5 Standarddeviation=Range=8Whatdoesthestandarddeviationmeaninthiscase?ItprovidesameasureofthestandarddistancefromthemeanHWStandard DeviationStandardDeviation( ):e)HowmanyquizscoresforBobwerewithinonestandarddeviationofthemean?Mean=$bHomeworkDetermineand comparebothformsofNextyearalltrainfaresbetweenLondonandGlasgowwillbereducedby£WritedownthenewmeanandstandarddeviationThe standarddeviationof1,1,1,andisequaltoWritedownthestandarddeviationof,,,andThetemperaturesofsomecitiesinRussiawererecordedasStandard DeviationDatasetB=√[(()2+()2+()2+()2+()2)/5]=StandardDeviationDatasetC=√[(()2+()2+()2+()2+()2)/5]=cBirthRate)CalculateAnswers(a)(b) (c)(d)meanSD0 ,7,36SampleTestScores,,,,,,,,,Mean: n: TestScoreBasketballTournament)AverageLifespan) BoilingPoint)HomeworkCalculatethestandarddeviationofeachdatasetb)Sc)SquareFindandinterpretthemeane)QThestandarddeviationsare:a),,,,= b),,,,=PracticeProblems:StandardDeviationsandVarianceAnswersWhatdoesthestandarddeviationmeaninthiscase?FindandStandardDeviation( ): MensHeights(Inches)6)AnnualHouseholdIncome,,,8,,,,,8,7)Whatdoesthestandarddeviationmeaninthiscase?f)Whatisthestandarddeviationofa classifeveryoneintheclassHomeworkCalculatethemeanofeachdataset.Usethechartbelowtorecordthesteps.d)Samplemean.Findthemeanandsample standarddeviationforeachdataset)Whatismeasuredbyeachofthefollowing:SumofSquares(SS)=thesumofsquareddeviationscoresPractice WorksheetEmployeesatalawfirmkeeptrackofhowmanyhourstheyworkeachweek:{44,,,,}e)Basedupontheproblemsabove,completethetablebelow: DataAnalysisDatasetChasthelargeststandarddeviationaPopulation:Qa)NegativeThenumbersinthelistareanaverageofunitsawayfrom)Mean=5 Median=5StandardStandardDeviationPracticeProblems(withanswers)ConsiderthefollowingthreedatasetsA,BandCA={9,10,11,7,13}B= {10,10,10,10,10}C={1,1,10,19,19}abThenumbersinthelistareanaverageofunitsawayfrom)Mean=Median=Standarddeviation=Range=22Standard Deviation( ):d)FindBob’smean,varianceandstandarddeviation:(Roundyouranswerstothenearestthousandth)Variance( 2):∑( )2