Weekg1gAssignment:gSkewnessgandgStandardgDeviation
Agfoodgprocessinggplantgfillsgsnack-
sizedgbagsgofgcrackers.gThegmeangnumbergofgcrackersgingeachgbaggisg22gandgthegstandardgdeviati
ongisg2.gThegfactorygsupervisorgselectsgonegbaggthatgcontains
24gcrackers.
Whichgofgthegfollowinggstatementsgisgtrue?
Perfect.gYourghardgworkgisgpayinggoffg
Thegnumbergofgcrackersgingthegsupervisor’sgbaggisg2gstandardgdeviationsgtogthegrightgofgthegmean.
Thegnumbergofgcrackersgingthegsupervisor’sgbaggisg2gstandardgdeviationsgtogthegleftgofgthegmean
g
.gThegnumbergofgcrackersgingthegsupervisor’sgbaggisg1gstandardgdeviationgtogthegrightgofgthegmea
n.gThegnumbergofgcrackersgingthegsupervisor’sgbaggisg1gstandardgdeviationgtogthegleftgofgthegmea
n.
Answer Explanation
g
Correctganswer:
Thegnumbergofgcrackersgingthegsupervisor’sgbaggisg1gstandardgdeviationgtogthegrightgofgthegmean.
Question
Thegfollowinggdatagsetgrepresentsgthegagesgofgallg6gofgNancy'sggrandchildren.
11,8,5,6,3,9
Togdeterminegtheg"spread"gofgthegdata,gwouldgyougemploygcalculationsgforgthegsamplegstandardgd
eviation,gorgpopulationgstandardgdeviationgforgthisgdatagset?
,That'sgincorrectg-gmistakesgaregpartgofglearning.gKeepgtrying!
UsegcalculationsgforgsamplegstandardgdeviationgU
segcalculationsgforgpopulationgstandardgdeviation
Answer Explanation
g
Correctganswer:
Usegcalculationsgforgpopulationgstandardgdeviation
Togdeterminegifgsamplegstandardgdeviationgorgpopulationgstandardgdeviationgshouldgbegused,gdet
erminegifgthegdatagsetgrepresentsgdatagvaluesgcollectedgfromgthegentiregpopulation,gorgfromgagsubs
etgofgthegpopulation.
• Ifgthegdatagvaluesgrepresentgdatagcollectedgfromgagsubsetgofgthegpopulation,gthength
egsamplegstandardgdeviationgshouldgbegused.
• Ifgthegdatagvaluesgrepresentgdatagcollectedgfromgthegentiregpopulationgofginterest,gthe
ngthegpopulationgstandardgdeviationgshouldgbegused.
Ingthisgcase,gthegpopulationgstandardgdeviationgshouldgbegusedgbecausegthegdatagsetgrepresentsgallg
of,gthatgisgthegtotalgpopulationgof,gNancy'sggrandchildren
BackgtogTop
Activityg3gofg83
Learningg Objective
Computegvariancegandgstandardgdeviation
WorkgTime
24s
Monday,gMarg1,g2021gatg4:12pmgEDT
Question
Thegfollowinggdatagsetgrepresentsgthegagesgofgallg6gofgNancy'sggrandchildren.
, 11,8,5,6,3,9
Findgthegvariancegofgtheirgages.
• Ifgnecessary,groundgthegfinalganswergtogonegdecimalgplace.
Answerg1:
That'sgincorrectg-gmistakesgaregpartgofglearning.gKeepgtrying!
variance=g4$$gvariance
=g4g-
gincorrectgAnswerg2:
Keepgtryingg-gmistakesgcanghelpgusggrow.
variance=g4$$gvariance
=g4g-gincorrect
Answer Explanation
g
Correctganswers:
• variance=g7g$\text{variance=}7$
•
First,gwegfindgthatgthegmeangis
11+8+5+6+3+96=426=7
Now,gwegneedgtogtakegthegdeviationsgfromgthegmeangandgsquaregthem:
Value1185639Deviation4.01.0−2.0−1.0−4.02.0Deviation216.01.04.01.016.0
g4.0
Sincegthegtotalgpopulationgofggrandchildrengisgincluded,gwegfindgthegpopulationgvariance.gA
ddgupgthegsquaredgdeviationsgandgdividegbygthegnumbergofgdatagvalues:
, 16+1+4+1+16+46=7
Sogthegvariancegisg7.
Question
Thegfollowinggdatagsetgrepresentsgthegagesgofgallg6gofgNancy'sggrandchildren.
11,8,5,6,3,9
Givengthatgthegvariancegofgthisgdatagsetgisg7,gwhatgisgthegstandardgdeviationgofgtheirgages?
• Roundgthegfinalganswergtogonegdecimalgplace.
Answerg1:
Keepgtryingg-gmistakesgcanghelpgusggrow.
std=g4$$
std=g4g-
gincorrectgAnswerg2:
Keepgtryingg-gmistakesgcanghelpgusggrow.
std=g4$$
std=g4g-gincorrect
Answer Explanation
g
Correctganswers:
• std=g2gpointg6g$\text{std=}2.6$
•
Agfoodgprocessinggplantgfillsgsnack-
sizedgbagsgofgcrackers.gThegmeangnumbergofgcrackersgingeachgbaggisg22gandgthegstandardgdeviati
ongisg2.gThegfactorygsupervisorgselectsgonegbaggthatgcontains
24gcrackers.
Whichgofgthegfollowinggstatementsgisgtrue?
Perfect.gYourghardgworkgisgpayinggoffg
Thegnumbergofgcrackersgingthegsupervisor’sgbaggisg2gstandardgdeviationsgtogthegrightgofgthegmean.
Thegnumbergofgcrackersgingthegsupervisor’sgbaggisg2gstandardgdeviationsgtogthegleftgofgthegmean
g
.gThegnumbergofgcrackersgingthegsupervisor’sgbaggisg1gstandardgdeviationgtogthegrightgofgthegmea
n.gThegnumbergofgcrackersgingthegsupervisor’sgbaggisg1gstandardgdeviationgtogthegleftgofgthegmea
n.
Answer Explanation
g
Correctganswer:
Thegnumbergofgcrackersgingthegsupervisor’sgbaggisg1gstandardgdeviationgtogthegrightgofgthegmean.
Question
Thegfollowinggdatagsetgrepresentsgthegagesgofgallg6gofgNancy'sggrandchildren.
11,8,5,6,3,9
Togdeterminegtheg"spread"gofgthegdata,gwouldgyougemploygcalculationsgforgthegsamplegstandardgd
eviation,gorgpopulationgstandardgdeviationgforgthisgdatagset?
,That'sgincorrectg-gmistakesgaregpartgofglearning.gKeepgtrying!
UsegcalculationsgforgsamplegstandardgdeviationgU
segcalculationsgforgpopulationgstandardgdeviation
Answer Explanation
g
Correctganswer:
Usegcalculationsgforgpopulationgstandardgdeviation
Togdeterminegifgsamplegstandardgdeviationgorgpopulationgstandardgdeviationgshouldgbegused,gdet
erminegifgthegdatagsetgrepresentsgdatagvaluesgcollectedgfromgthegentiregpopulation,gorgfromgagsubs
etgofgthegpopulation.
• Ifgthegdatagvaluesgrepresentgdatagcollectedgfromgagsubsetgofgthegpopulation,gthength
egsamplegstandardgdeviationgshouldgbegused.
• Ifgthegdatagvaluesgrepresentgdatagcollectedgfromgthegentiregpopulationgofginterest,gthe
ngthegpopulationgstandardgdeviationgshouldgbegused.
Ingthisgcase,gthegpopulationgstandardgdeviationgshouldgbegusedgbecausegthegdatagsetgrepresentsgallg
of,gthatgisgthegtotalgpopulationgof,gNancy'sggrandchildren
BackgtogTop
Activityg3gofg83
Learningg Objective
Computegvariancegandgstandardgdeviation
WorkgTime
24s
Monday,gMarg1,g2021gatg4:12pmgEDT
Question
Thegfollowinggdatagsetgrepresentsgthegagesgofgallg6gofgNancy'sggrandchildren.
, 11,8,5,6,3,9
Findgthegvariancegofgtheirgages.
• Ifgnecessary,groundgthegfinalganswergtogonegdecimalgplace.
Answerg1:
That'sgincorrectg-gmistakesgaregpartgofglearning.gKeepgtrying!
variance=g4$$gvariance
=g4g-
gincorrectgAnswerg2:
Keepgtryingg-gmistakesgcanghelpgusggrow.
variance=g4$$gvariance
=g4g-gincorrect
Answer Explanation
g
Correctganswers:
• variance=g7g$\text{variance=}7$
•
First,gwegfindgthatgthegmeangis
11+8+5+6+3+96=426=7
Now,gwegneedgtogtakegthegdeviationsgfromgthegmeangandgsquaregthem:
Value1185639Deviation4.01.0−2.0−1.0−4.02.0Deviation216.01.04.01.016.0
g4.0
Sincegthegtotalgpopulationgofggrandchildrengisgincluded,gwegfindgthegpopulationgvariance.gA
ddgupgthegsquaredgdeviationsgandgdividegbygthegnumbergofgdatagvalues:
, 16+1+4+1+16+46=7
Sogthegvariancegisg7.
Question
Thegfollowinggdatagsetgrepresentsgthegagesgofgallg6gofgNancy'sggrandchildren.
11,8,5,6,3,9
Givengthatgthegvariancegofgthisgdatagsetgisg7,gwhatgisgthegstandardgdeviationgofgtheirgages?
• Roundgthegfinalganswergtogonegdecimalgplace.
Answerg1:
Keepgtryingg-gmistakesgcanghelpgusggrow.
std=g4$$
std=g4g-
gincorrectgAnswerg2:
Keepgtryingg-gmistakesgcanghelpgusggrow.
std=g4$$
std=g4g-gincorrect
Answer Explanation
g
Correctganswers:
• std=g2gpointg6g$\text{std=}2.6$
•
