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1、Thursday,October3VariabilityCENTRALTENDENCYModeMedianMeannominalordinalintervalCENTRALTENDENCYModeMedianMeannominalordinalintervalRangeInterquartileRangeVarianceStandardDeviationVariabilityRangeRangeInterquartileRangeX_PopulationSampleXμ_Thepopulationmeanisμ.ThesamplemeanisX._PopulationSampl
2、eXμ_Thepopulationmeanisμ.ThesamplemeanisX.Thepopulationstandarddeviationis?,thesamplesdiss._?sSSVarianceofapopulation,?2(sigmasquared).Itisthesumofsquaresdivided(SS)byNN?2=SSVarianceofapopulation,?2(sigmasquared).Itisthesumofsquaresdivided(SS)byNN?2=?(X–?)2SSTheStandardDeviationofapopulation
3、,?Itisthesquarerootofthevariance.N?=Thisenablesthevariabilitytobeexpressedinthesameunitofmeasurementastheindividualscoresandthemean.PopulationSampleXμ_Thepopulationmeanisμ.ThesamplemeanisX._PopulationSampleXμ_Thepopulationmeanisμ.ThesamplemeanisX.Thepopulationstandarddeviationis?,thesamplesd
4、iss._?sPopulationSampleAXAμ_SampleBXBSampleEXESampleDXDSampleCXC____Inreality,thesamplemeanisjustoneofmanypossiblesamplemeansdrawnfromthepopulation,andisrarelyequaltoμ.PopulationSampleAXAμ_SampleBXBSampleEXESampleDXDSampleCXC____Inreality,thesamplemeanisjustoneofmanypossiblesamplemeansdrawnf
5、romthepopulation,andisrarelyequaltoμ.?sasbscsdseSamplingerror=Statistic-ParameterSamplingerrorforthemean=X-μ_Samplingerrorforthestandarddeviation=s-?UnbiasedandBiasedEstimatesAnunbiasedestimateisoneforwhichthemeansamplingerroris0.Anunbiasedstatistictendstobeneitherlargernorsmaller,ontheavera
6、ge,thantheparameteritestimates.ThemeanXisanunbiasedestimateofμ.Theestimatesforthevariances2andstandarddeviationshavedenominatorsofN-1(ratherthanN)inordertobeunbiased._SSN?2=SS(N-1)s2=SS(N-1)s2=?(X–X)2_SS(N-1)s=Howlargeisthedifferencebetweendisadvantagedandnondisadvantagedstudentsin2ndgradere
7、ading?ConceptualformulaVSComputationalformula
