Statistics exam chapter 3 Questions And
Answers
Agprofessorggradesg120gresearchgpapersgandgreportsgthatgthegaveragegscoregwasgang80%.
gWhatgdogwegknowgaboutgthegsumgofgthegdifferencesgofgtheseg120gscoresgfromgtheirgmeang
ofg80%?
Thegsumgofgthegdifferencesgisgminimal.
Thegsumgofgthegdifferencesgisg80%,gthegsamegasgthegmean.
Thegsumgofgthegdifferencesgisgequalgtogzero.
Itgisgimpossiblegtogknowgwithoutgknowinggeachgofgtheg120gscores.g-gCORRECTggANSWER-
thegsumgofgthegdifferencesgisgequalgtogzero
Agresearchergasksgadultgparticipantsgtogrankgtheirgtopgfivegfavoritegsongsgfromgtheirgchildho
od.gBasedgongthegscalegofgmeasurementgdescribed,gwhichgmeasuregofgcentralgtendencygisg
mostgappropriategtogdescribegthesegdata?
mean
median
mode
rangeg-gCORRECTggANSWER-median
Agresearchergasksgparticipantsgtogestimategthegcaloriesgtheygconsumegingagmeal.gThegrese
archergrecordsgthegfollowinggestimates:g450,g426,g310,g500,gandg220.gIfgthegresearchergre
movesgthegestimategofg220g(perhapsgbecausegthegparticipantgdropsgoutgofgthegstudy),gtheng
thegvaluegofgthegmeangwill
decrease
increase
remaingthegsame
becomegnegativeg-gCORRECTggANSWER-increase
Agresearchergasksgparticipantsgtogestimategthegheightg(inginches)gofgagstatuegthatgwasgingag
waitinggarea.gThegresearchergrecordsgthegfollowinggestimates:g40,g46,g30,g50,gandg34.gIfgth
egresearchergremovesgthegestimategofg40g(say,gduegtogangexperimentergerror),gthengthegval
uegofgthegmeangwill
decrease
increase
remaingthegsame
becomegnegativeg-gCORRECTggANSWER-remaingthegsame
, Agresearchergrecordsg17gscores.gWhatgisgthegmediangpositiongofgthesegscores?
theg9thgscoregingnumericgorder
thegaveragegofgtheg9thgandg10thgscoresgingnumericgorder
thegaveragegofgtheg8thgandg9thgscoresgingnumericgorder
It'sgnotgpossiblegtogknowgthisgwithoutgthegrawgscores.g-gCORRECTggANSWER-
theg9thgscoregingnumericgorder
Agresearchergrecordsgthegfollowinggdatagforgthegnumbergofgcomplaintsgfiledg(pergday)gfollow
inggagcontroversialgpolicygchangegatgaglocalgbusiness:g3,g8,g5,g0,g4,g6,g2,g1,g1,g4,g2,gandg0.gIsg
thegmeangequalgtogthegmediangingthisgexample?
Yes.
No;gthegmediangisglargergthangthegmean.
No;gthegmeangisglargergthangthegmedian.
Theregisgnotgenoughginformationgtoganswergthisgquestiong-gCORRECTggANSWER-
no;gthegmeangisglargergthangthegmedian
Agresearchergrecordsgthegfollowinggdatagforgthegnumbergofgdifferentgfoodgitemsgchosengbygs
evengparticipantsgingagbuffet-
stylegsetting:g1,g6,g2,g5,g4,g3,gandg7.gIsgthegmeangequalgtogthegmediangingthisgexample?
Yes.
No;gthegmediangisglargergthangthegmean.
No;gthegmeangisglargergthangthegmedian.
Theregisgnotgenoughginformationgtoganswergthisgquestion.g-gCORRECTggANSWER-yes
Agresearchergrecordsgthegfollowinggdatagforgthegnumbergofgtimesganginterviewergisginterrupt
edgduringgagseriesgofginterviews:g0,g0,g3,g2,g5,g3,g0,g8,g0,g2,g1,gandg1.gIsgthegmodegequalgtogth
egmediangingthisgexample?
Yes.
No;gthegmediangisglargergthangthegmode.
No;gthegmodegisglargergthangthegmedian.
Theregisgnotgenoughginformationgtoganswergthisgquestion.g-gCORRECTggANSWER-
No;gthegmediangisglargergthangthegmode
Agresearchergrecordsgthegfollowinggdatagforgthegtimeg(ingseconds)gitgtakesgfivegratsgtogcrossg
angelectricalggridgtogobtaingreinforcementgongthegothergside:g12,g9,g13,g4,gandg12.gIsgthegme
angequalgtogthegmodegingthisgexample?
Yes.
No;gthegmodegisglargergthangthegmean.
No;gthegmeangisglargergthangthegmode.
Theregisgnotgenoughginformationgtoganswergthisgquestion.g-gCORRECTggANSWER-
No;gthegmodegisglargergthangthegmean
Agresearchergrecordsgthegfollowinggscores:g5,g3,g7,g6,g2,g8,g0,gandg1.gIngtermsgofgthesegdata,
gthegsumgofgthegsquaredgdifferencesgofgscoresgfromgtheirgmeangis
0
8
Answers
Agprofessorggradesg120gresearchgpapersgandgreportsgthatgthegaveragegscoregwasgang80%.
gWhatgdogwegknowgaboutgthegsumgofgthegdifferencesgofgtheseg120gscoresgfromgtheirgmeang
ofg80%?
Thegsumgofgthegdifferencesgisgminimal.
Thegsumgofgthegdifferencesgisg80%,gthegsamegasgthegmean.
Thegsumgofgthegdifferencesgisgequalgtogzero.
Itgisgimpossiblegtogknowgwithoutgknowinggeachgofgtheg120gscores.g-gCORRECTggANSWER-
thegsumgofgthegdifferencesgisgequalgtogzero
Agresearchergasksgadultgparticipantsgtogrankgtheirgtopgfivegfavoritegsongsgfromgtheirgchildho
od.gBasedgongthegscalegofgmeasurementgdescribed,gwhichgmeasuregofgcentralgtendencygisg
mostgappropriategtogdescribegthesegdata?
mean
median
mode
rangeg-gCORRECTggANSWER-median
Agresearchergasksgparticipantsgtogestimategthegcaloriesgtheygconsumegingagmeal.gThegrese
archergrecordsgthegfollowinggestimates:g450,g426,g310,g500,gandg220.gIfgthegresearchergre
movesgthegestimategofg220g(perhapsgbecausegthegparticipantgdropsgoutgofgthegstudy),gtheng
thegvaluegofgthegmeangwill
decrease
increase
remaingthegsame
becomegnegativeg-gCORRECTggANSWER-increase
Agresearchergasksgparticipantsgtogestimategthegheightg(inginches)gofgagstatuegthatgwasgingag
waitinggarea.gThegresearchergrecordsgthegfollowinggestimates:g40,g46,g30,g50,gandg34.gIfgth
egresearchergremovesgthegestimategofg40g(say,gduegtogangexperimentergerror),gthengthegval
uegofgthegmeangwill
decrease
increase
remaingthegsame
becomegnegativeg-gCORRECTggANSWER-remaingthegsame
, Agresearchergrecordsg17gscores.gWhatgisgthegmediangpositiongofgthesegscores?
theg9thgscoregingnumericgorder
thegaveragegofgtheg9thgandg10thgscoresgingnumericgorder
thegaveragegofgtheg8thgandg9thgscoresgingnumericgorder
It'sgnotgpossiblegtogknowgthisgwithoutgthegrawgscores.g-gCORRECTggANSWER-
theg9thgscoregingnumericgorder
Agresearchergrecordsgthegfollowinggdatagforgthegnumbergofgcomplaintsgfiledg(pergday)gfollow
inggagcontroversialgpolicygchangegatgaglocalgbusiness:g3,g8,g5,g0,g4,g6,g2,g1,g1,g4,g2,gandg0.gIsg
thegmeangequalgtogthegmediangingthisgexample?
Yes.
No;gthegmediangisglargergthangthegmean.
No;gthegmeangisglargergthangthegmedian.
Theregisgnotgenoughginformationgtoganswergthisgquestiong-gCORRECTggANSWER-
no;gthegmeangisglargergthangthegmedian
Agresearchergrecordsgthegfollowinggdatagforgthegnumbergofgdifferentgfoodgitemsgchosengbygs
evengparticipantsgingagbuffet-
stylegsetting:g1,g6,g2,g5,g4,g3,gandg7.gIsgthegmeangequalgtogthegmediangingthisgexample?
Yes.
No;gthegmediangisglargergthangthegmean.
No;gthegmeangisglargergthangthegmedian.
Theregisgnotgenoughginformationgtoganswergthisgquestion.g-gCORRECTggANSWER-yes
Agresearchergrecordsgthegfollowinggdatagforgthegnumbergofgtimesganginterviewergisginterrupt
edgduringgagseriesgofginterviews:g0,g0,g3,g2,g5,g3,g0,g8,g0,g2,g1,gandg1.gIsgthegmodegequalgtogth
egmediangingthisgexample?
Yes.
No;gthegmediangisglargergthangthegmode.
No;gthegmodegisglargergthangthegmedian.
Theregisgnotgenoughginformationgtoganswergthisgquestion.g-gCORRECTggANSWER-
No;gthegmediangisglargergthangthegmode
Agresearchergrecordsgthegfollowinggdatagforgthegtimeg(ingseconds)gitgtakesgfivegratsgtogcrossg
angelectricalggridgtogobtaingreinforcementgongthegothergside:g12,g9,g13,g4,gandg12.gIsgthegme
angequalgtogthegmodegingthisgexample?
Yes.
No;gthegmodegisglargergthangthegmean.
No;gthegmeangisglargergthangthegmode.
Theregisgnotgenoughginformationgtoganswergthisgquestion.g-gCORRECTggANSWER-
No;gthegmodegisglargergthangthegmean
Agresearchergrecordsgthegfollowinggscores:g5,g3,g7,g6,g2,g8,g0,gandg1.gIngtermsgofgthesegdata,
gthegsumgofgthegsquaredgdifferencesgofgscoresgfromgtheirgmeangis
0
8