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Clare Chua (18)
Lecture 6

Lecture 6

5 Pages
114 Views

Department
Quantitative Methods
Course Code
QMS 102
Professor
Clare Chua

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10/12/2010
1
Announcement
MidTermTest
Midtermisonweek8(heldinclass).Checkthedateon
Blackboardortheagendahandout.
TopicsthatwillbetestedinMidTerm:
i)Datatypes/measurementscales
)dfl
ii
)
Steman
d
Lea
f
Disp
l
ay
iii)FrequencyDistribution
iv)OGIVE
v)Chapter3
FormatoftheMidtermTest :MultipleChoiceQuestion
InLecture5,topicscoveredare
1. Whichisthepreferredmeasure?Meanor
Median
2. Shape
3
fii il
3
.Measureo
f
Pos
i
t
i
on<Percent
il
e>
4. Measuresofvariation
BoxWhiskerPlot
Exploratorydataanalysis
Graphically
1. Whatisthefivernumbersummary?
2. HowtoconstructaBoxWhiskerPlot?
3. HowtointerprettheBoxandWhisker
Plot?
BoxWhiskerPlot
Thisisreferredasthe“FIVErNUMBERSUMMARY
Consists of:
BoxWhiskerPlotsummarizes:
MeasuresofCentralTend ency(Median)
MeasureofVariation(Range,Interquartile Range)
MeasureofSkewness (Shapeofadataset)
Consists
of:
1. Minimum
2. Q1
3. Median(Q2)
4. Q3
5. Minimum
BoxWhiskerPlot
BoxWhiskerPlotprovidesagraphicalrepresentationofthedata
basedonthe5numbersummary:
Minimum(thesmallestobservation)
Q3rTheupperquartile
Q2rThemedian
Q1rThelowerquartile
Maximum(thelargestobservation)
Minimum
Quartile1(Q1)
Median
Quartile2(Q2)
Maximum
WhatisthepurposeofaBoxWhiskerPlot?
1. Howadatasetlooklike?
2. Isthereanyoutliers?
BoxWhiskerPlot
Boxrandrwhiskerplotsarehelpfulin
interpretingthedistributionofdata.
www.notesolution.com
10/12/2010
2
Howtoconstructaboxwhiskerplot?
1. Thefirststepindrawingtheboxwhiskerplotistolayout
anappropriatehorizontalscale.
2. The‘boxisformedwithQ1andQ3.
Scale
e.g.days
Q1 Q3
Howtoconstructaboxwhiskerplot?
3. TheMEANmaybeindicatedinsidetheboxwitha“+”sign.
4. TheMEDIANisindicatedbyalineacross thebox
Scale
e.g.days
Q1 Q3
+
Howdowedrawthewhisker?
Tworulesapplyforthewhiskers
Eachwhiskerisaslongaspossible,but
Theycannotgopasttheinnerfence
Theymustendatadatapoint
+rrr
rr
RIF
LIFROFLOFHOWDOWEDRAWTHE
WHISKERbasedonthe2rules?
Tworulesapplyforthewhiskers
Eachwhiskerisaslongaspossible,but
Theycannotgopasttheinnerfence
Theymustendatadatapoint
+rrr
rr
RIF
LIFROFLOF
Nowletusdrawtherightwhisker
Tworulesapplyforthewhiskers
Eachwhiskerisaslongaspossible,but
Theycannotgopasttheinnerfence
Theymustendatadatapoint
+rrr
rr
RIF
LIFROFLOF
www.notesolution.com

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Description
10/12/2010 Announcement InLecture5,topicscoveredare MidTermTest Midtermisonweek8 (heldinclass).Checkthedateon 1. Whichisthepreferredmeasure?Meanor Blackboardortheagendahandout. Median TopicsthatwillbetestedinMidTerm: 2. Shape i)Datatypes/measurementscales ii))StemadLeaffDispllay 3. Measureof fPosiitiion iii)FrequencyDistribution 4. Measuresofvariation iv)OGIVE v)Chapter3 FormatoftheMidtermTest:MultipleChoiceQuestion BoxWhiskerPlot BoxWhiskerPlot •BoxWhiskerPlotsummarizes: •MeasuresofCentralTendency(Median) Exploratorydataanalysis •MeasureofVariation(Range,Interquartile Range) Graphically •MeasureofSkewness (Shapeofadataset) Thisisreferredasthe“FIVEHNUMBERSUMMARY” 1. WhatisthefiveHnumbersummary? 2. HowtoconstructaBoxWhiskerPlot? Conssiisoff::o 1. Minimum 3. HowtointerprettheBoxandWhisker 2. Q1 Plot? 3. Median(Q2) 4. Q3 5. Minimum BoxWhiskerPlot BoxWhiskerPlot BoxWhiskerPlotprovidesagraphicalrepresentationofthedata BoxHandHwhiskerplotsarehelpfulin basedonthe5numbersummary: Minimum(thesmallestobservation) interpretingthedistributionofdata. Q 3heupperquartile Q 2 Themedian Q 1 Thelowerquartile Maximum(thelargestobservation) m m iu 1Q1) in 2Q2) ximu Min Med Ma Quartile Quartile WhatisthepurposeofaBoxWhiskerPlot? 1. Howadatasetlooklike? 2. Isthereanyoutliers? 1 www.notesolution.com 10/12/2010 Howtoconstructaboxwhiskerplot? Howtoconstructaboxwhiskerplot? 1. Thefirststepindrawingtheboxwhiskerplotistolayout 3. TheMEANmaybeindicatedinsidetheboxwitha“+”sign. anappropriatehorizontalscale. 4. TheMEDIANisindicatedbyalinacross thebox 2. The‘box’isformedwithQ1andQ3. + Q1 Q3 Scale Q1 Q3 Scale e.g.days e.g.days Tworulesapplyforthewhiskers Eachwhiskerisaslongaspossible,but • Theycannotgopasttheinnerfence Howdowedrawthewhisker? • Theymustendatadatapoint H H + H H H LOF HOWDOWEDRAWTHE RIF ROF LIF WHISKERbasedonthe2rules? Tworulesapplyforthewhiskers Tworulesapplyforthewhiskers Eachwhiskerisaslongaspossible,but Eachwhiskerisaslongaspossible,but • Theycannotgopasttheinnerfence • Theycannotgopasttheinnerfence • Theymustendatadatapoint • Theymustendatadatapoint Nowletusdrawtherightwhisker H H + H H H H H + H H H LOF LIF RIF ROF LOF LIF RIF ROF 2 www.notesolution.com 10/12/2010 Tworulesapplyforthewhiskers Tworulesapplyforthewhiskers Eachwhiskerisaslongaspossible,but Eachwhiskerisaslongaspossible,but • Theycannotgopasttheinnerfence • Theycannotgopasttheinnerfence • Theymustendatadatapoint • Theymustendatadatapoint Nowletusdrawtheleftwhisker H H + H H H H H + H H H LOF LIF RIF ROF LOF LIF RIF ROF Tworulesapplyforthewhiskers Tworulesapplyforthewhiskers Eachwhiskerisaslongaspossible,but Eachwhiskerisaslongaspossible,but • Theycannotgopasttheinnerfence • Theycannotgopasttheinnerfence • Theymustendatadatapoint • Theymustendatadatapoint Whatdowedowiththesepoints? H H + H H H H H + H H H LOF LIF RIF ROF LOF LIF RIF ROF Identifyoutliersandextremes OUTLIERS EXTREMES • Alldatavaluesthatfall • Alldatavaluesthatlie Identifyoutliersandextremes betweentheFENCES beyondtheOUTER FENCCESS • UUse‘o’’symbolltto indicateoutliers • Use * to
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