Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and ... The basic steps of a statistical experiment are: Planning the​ ...StatisticsFromWikipedia,thefreeencyclopediaJumptonavigationJumptosearchStudyofthecollection,analysis,interpretation,andpresentationofdataForotheruses,seeStatistics(disambiguation).StatisticsOutlineStatisticiansGlossaryNotationJournalsListsoftopicsArticlesCategory MathematicsportalvteThenormaldistribution,averycommonprobabilitydensity,usefulbecauseofthecentrallimittheorem.Scatterplotsareusedindescriptivestatisticstoshowtheobservedrelationshipsbetweendifferentvariables,hereusingtheIrisflowerdataset.Statisticsisthedisciplinethatconcernsthecollection,organization,analysis,interpretation,andpresentationofdata.[1][2][3]Inapplyingstatisticstoascientific,industrial,orsocialproblem,itisconventionaltobeginwithastatisticalpopulationorastatisticalmodeltobestudied.Populationscanbediversegroupsofpeopleorobjectssuchas"allpeoplelivinginacountry"or"everyatomcomposingacrystal".Statisticsdealswitheveryaspectofdata,includingtheplanningofdatacollectionintermsofthedesignofsurveysandexperiments.[4]Whencensusdatacannotbecollected,statisticianscollectdatabydevelopingspecificexperimentdesignsandsurveysamples.Representativesamplingassuresthatinferencesandconclusionscanreasonablyextendfromthesampletothepopulationasawhole.Anexperimentalstudyinvolvestakingmeasurementsofthesystemunderstudy,manipulatingthesystem,andthentakingadditionalmeasurementsusingthesameproceduretodetermineifthemanipulationhasmodifiedthevaluesofthemeasurements.Incontrast,anobservationalstudydoesnotinvolveexperimentalmanipulation.Twomainstatisticalmethodsareusedindataanalysis:descriptivestatistics,whichsummarizedatafromasampleusingindexessuchasthemeanorstandarddeviation,andinferentialstatistics,whichdrawconclusionsfromdatathataresubjecttorandomvariation(e.g.,observationalerrors,samplingvariation).[5]Descriptivestatisticsaremostoftenconcernedwithtwosetsofpro