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Collection and Presentation of Data
ECONOMICS
Notes
MODULE - 6
Presentation and Analysis
of Data in Economics
29
17
COLLECTIONAND
PRESENTATION OF DATA
Gettinginformationonvariousthingsaroundushasbecomeawayoflife.Information
itselfisamajorsourceofknowledge.Withoutinformationitisdifficulttotakedecisions.
Withdevelopmentofscienceandtechnologythesourcesofinformationhaveincreased
andbecomeaccessibleaswell.Books,Newspapers,magazines,telephone,television,
internetandmobilephonesetc.areallmediumofprovidinginformationofvariouskinds.
Informationisbothqualitativeandquantitativeinnature. Good,bad,ugly,beautiful,
responsible,noble,handsome,educatedetcaretermsusedtodescribepersons,can
besaidtobequalitativeinnature.Informationonincome,expenditure,savings,rateof
growth,height,weight,markssecured,population,foodproduction,etcaregivenin
quantitativeornumericalterms.Inthestudyofeconomicsquantitativeinformationsare
mostlyusedforanalysis.
OBJECTIVES
Aftercompletingthislesson,youwillbeableto:
understand the meaning of the term data;
distinguish between various types of data;
distinguish between variables and attributes;
identify the areas of an economy where we cannot do without the data;
classify and tabulate data;
understand various forms of presentation of data.
17.1 MEANING AND FEATURES OF DATA
Datameansquantitativeinformationprovidingfactsinanaggregatemanner.The
informationcouldbeonanythingthatcanbegivennumericallyandusefulfordecision
ECONOMICS
Collection and Presentation of DataMODULE - 6
Notes
Presentation and Analysis
of Data in Economics
30
making.Itisalsocalledstatisticaldataorsimplystatistics.Dataisapluralterm.The
singularofdataisdatum.
Fromthemeaningwecangivesomefeaturesofthetermstatisticsordatabelowwith
example.
(i) Statistics are the aggregate of facts
Asinglefactcannotbeconsideredasstatisticsordata.Forexample,themarkssecured
byastudentofclassXinmathematicsare95.Thisisgivenassingleinformationwhich
issimplyafactandnotthedata.However,themarkssecuredbyallthestudentsofclass
Xofaschool,eithersectionwiseorintotalcanbeconsidereddata,becauseitbecomes
anaggregateoffacts.Byjusttellingthemarksofonestudent,wecannotknowthe
performanceofothersandaccordinglywecannotcarryoutanyanalysistorecommend
for their betterment. This means that by giving aggregate of facts, data become
meaningfulasitprovidesscopeforcarryingoutanalysis.
See the table below. It gives the marks secured by all the 18 students of a class in
mathematics.Bylookingatthiswecancomparetheperformanceofthewholeclass.
Sothisisanexampleofdata.
Table 17.1
Students Marks Students Marks
A 95 J 35
B 90 K 30
C 75 L 85
D 65 M 20
E 90 N 90
F 100 O 80
G 80 P 70
H 45 Q 100
I 40 R 50
Fromtheabovedatawecanknowthefollowing
(i) Howmanystudentshavesecuredmorethan90?(ii)Howmanystudentshave
failed?(iii)Howmanystudentssecuredlessthan50?Onthebasisoftheanswers
tothesequestions,theteachercantakenecessarystepstoimprovetheperformance
ofstudentswhereverneeded.Sointhiswayasaggregateoffactsdataaremore
meaningfulthananysingleinformation.
Collection and Presentation of Data
ECONOMICS
Notes
MODULE - 6
Presentation and Analysis
of Data in Economics
31
(ii) Numerically expressed
Statisticsordataarealwaysquantitativeinnature.Qualitativeinformationsuchasgood,
bad,average,handsome,uglyareexamplesofsomeattributes,themagnitudeofwhich
cannotbequantifiedandassuchthesecannotbecalledstatisticsordata.Whenfacts
are put into a framework of numbers either through counting and calculation or
estimation,thesemaybecalleddata.Intheabovetablemarksofstudentsaregiven
numerically.Wecangiveanotherexampleasintable17.2belowwhichshowsnumber
ofstudentsadmittedinthe1styearindifferentcollegesinanimaginarycity.
Table 17.2
College NumberofStudents
Govt.College 409
SavitriCollege 308
J.P.College 401
N.D.College 510
(iii) Data are affected to a marked extent by multiplicity of causes
Data are not influenced by a single factor but are influenced by many factors. For
Example, rise in prices of commodities may have been due to several causes like,
reductioninsupply,increaseindemand,riseintaxes,riseinwagesetc.
(iv) Reasonable standard of accuracy
100% accuracy in statistics is neither possible nor desirable. What is needed and
expected is only a reasonable standard of accuracy. If a doctor has invented a new
medicinetocontrolcholesterolandstatisticallyheascertainedthat90%ofpatientshave
respondedwellandstatisticallyif95%personsrespondedtothetreatment,itmaybe
consideredthatthenewmedicineisgoodandithasreasonablestandardofaccuracy
astheresultsshowthatonly90%ofpatientshaverespondedwellandnot100%.It
reflectsreasonablestandardofaccuracy.
(v)Predeterminedpurpose
Data are collected for a predetermined purpose. Both the above tables serve some
importantpurposes.Thedataintable17.1canbeusedtoevaluatetheperformanceof
studentsinmathematics.Dataintable17.2canbeusedtoknowthesituationofhigher
educationinthecitytosomeextentonthebasisofknowingnumberofyoungpeople
enteringcollege.
17.2 IMPORTANCE OF DATA IN ECONOMICS
Somespecificareasofeconomicswheretheuseofdataisveryimportantareasfollows:
ECONOMICS
Collection and Presentation of DataMODULE - 6
Notes
Presentation and Analysis
of Data in Economics
32
1. In economic planning: The data of the previous years are generally used to
preparefutureplan.Forexample,ifwehavetoplanexpendituretobeincurredon
primaryeducationforayear,dataregardingnumberofstudentswhowereenrolled
uptoclassfifthinpreviousyearsandtheexpenditureincurredduringthoseyears
isimportanttolookat.Forecastingisdoneonthebasisofeconomicplanning.For
example,ifwewanttopredictthegrowthofpercapitaincomeofacountry,thedata
onthegrowthrateofpopulationandthenationalincomearealsotobecollected
andconsidered.
2. Todeterminenationalincome:Inordertoknowthestateofoureconomyitis
importanttoknowthenationalincomebesidesvariousotherthings.Butnational
incomecanbedeterminedbyusingcertainmethodswhichrequirequantitative
informationonvariousthingssuchaswagesandsalariesreceivedbyworkers,rent
receivedforuseoflandandbuilding,interestreceivedforuseoffundsandprofit
earnedbytheentrepreneursintheeconomyinthegivenyear.
3. Basisofgovernmentpolicies:Statisticaldataarewidelyusedbygovernmentto
framepoliciesforeconomicdevelopmentofthecountry.Onthebasisofdataon
thevastnumberofpoorandunemployedpeopleinIndia,thegovernmenthadto
makepolicytoremovepovertyandunemploymentbyenactingNationalRural
EmploymentGuaranteeAct.Thispolicyofthegovernmentguaranteesanunemployed
personatleast100daysofwageemploymentinayear.InIndiaCensuswhichis
carriedoutonceinevery10yearsprovidedataonmaleandfemalepopulation,
numberofliterates,numberofworkersetc.Onthebasisofthedataonmaleand
femalepopulationitwasfoundthatIndiahas938femalesper1000males.Insome
states like Haryana there are only 848 females per 1000 males. This is a very
alarmingsituationbecauseoneofthereasonsforlowfemalepopulationiskillingof
girlchildbeforeitstakingbirth.Onthebasisofthisdatanowthegovernmentis
makingpolicytosavethegirlchild.
INTEXT QUESTIONS 17.1
1. Identifywhetherfollowingaredataornot.Writeyes/nointhebracket
(i) MissMonikasecured75%marksineconomics ( )
(ii) KrishisabetterplayerthanHari ( )
(iii) Lalitasecuredgoodmarks ( )
(iv) Numberofstudentsintherecordsofschoolsareasfollows;wouldyoucall
these records as data?
Collection and Presentation of Data
ECONOMICS
Notes
MODULE - 6
Presentation and Analysis
of Data in Economics
33
Table 17.3
Faculty SchoolA School B
Arts 400 700
Science 600 400
Commerce 300 300
17.3 TYPES OF DATA
Onthebasisofthesourceofcollectiondatamaybeclassifiedas:
(a) Primarydataand
(b) Secondarydata
(a)Primarydata
Thedatawhichareoriginallycollectedforthefirsttimeforthepurposeofthesurvey
arecalledprimarydata.Forexamplefactsordatacollectedregardingthehabitoftaking
teaorcoffeeinavillagebyaninvestigator.
Methodsofcollectingprimarydata
1. Directpersonalinvestigation:Underthismethodtheinvestigatorcollectsthe
datapersonallyfromtherespondent.Thepersonwhocollecttheinformationis
called the investigator and the person who gives the responses/answers the
questionsaskedbytheinvestigatoriscalledarespondent.Thedatacollectedinthis
mannerarethereforemostreliable.However,thereisachancethattheresultsare
influencedbythepersonalbiasandprejudiceoftheinvestigator.
2. Indirectinvestigations:Underthismethodtheinvestigatorobtainsinformation
indirectlyfromathirdpersonwhoisexpectedtoknowfactsaboutthepersonabout
whomtheenquiryisdone.Itisgenerallyusedbythecommissionappointedbythe
government.
3. Through correspondent: Under this method correspondents or agents are
appointed by the investigator to obtain data from various places. These
correspondentsarerequiredtocollectandpassthetransmitinformationtothe
investigatororthecentraloffice.Thismethodiswidelyusedbynewspaperoffices.
4. Bymailedquestionnaire:Underthismethodawellstructuredquestionnaireis
preparedandmailedtotherespondentbypost.Therespondentafterfillingupthe
questionnairesenditbackwithinthegiventime.However,thismethodcanonlybe
usedwhenrespondentsareliterateandcanfillinthequestionnaire.
ECONOMICS
Collection and Presentation of DataMODULE - 6
Notes
Presentation and Analysis
of Data in Economics
34
5. Throughschedules:Underthismethodthefieldworkersareaskedtogotothe
respondentwithquestionscontainedintheschedule.Theycollecttheanswersin
theirownhandwritingandprovidedatatotheinvestigator.Thismethodisuseful
whentherespondentisilliterate.
(b) Secondarydata
Whenweusethedata,whichhavealreadybeencollectedbyothers,thedataarecalled
secondarydata.Thisdataissaidtobeprimaryfortheagencywhichcollectsitfirst,and
itbecomessecondaryforalltheotherusers.
Sources of secondary data
Secondarydatamayexistintheformofpublishedorunpublishedform.Initspublished
formsecondarydatamaybeobtainedfrom
(a) Publishedreportsofnewspapers,RBIandperiodicals.
(b) Publicationfromtradeassociations
(c) Financialdatareportedinannualreports
(d) DataavailableinSEBIpublication
(e) Informationfromofficialpublications
(f) PublicationofinternationalbodiessuchasUNO,WorldBanketc.
(g) Others
Initsunpublishedformsecondarydatamayexistas
(a) Internalreportsofthegovernmentdepartments
(b) Recordsmaintainedbytheinstitutions
(c) Researchreportspreparedbystudentsintheuniversities
17.4 PRESENTATION OF DATA
Datacollectedintheformofschedulesandquestionnairesarenotself-explanatory.
Theseareintheformofrawdata.Inordertomakethemmeaningful,thesearetobe
madepresentableClassificationandtabulationarethebasictoolsofpresentingrawdata
insystematicway.
17.4.1 Classification
Classificationisaprocessofarrangingdataintoclassesorgroupsaccordingtotheir
resemblancesandaffinities.Massdatainitsoriginalformiscalledrawdata.
Collection and Presentation of Data
ECONOMICS
Notes
MODULE - 6
Presentation and Analysis
of Data in Economics
35
Variableandattributes
Variable:Whendataiscapableofbeingclassifiedinthemagnitudeoftimeorsizeit
iscalledasvariable.Height,weight,length,distanceareexampleofvariables.Variables
maybeeitherdiscreteorcontinuous.Discretevariableusuallyhaveaspecificvalueor
measurement.Numberofchildrenperfamily,sayforexample,isadiscretevariable
becauseitcannotbebrokenintofactors
Table 17.4
No.ofchildrenperfamily 0 1 2 3 4
Nooffamilies 4 8 20 38 10
Thistablerevealsthatthesearefourfamilieswithoutchildren,8familieshavingonechild
andsoon.Sincetheno.ofchildrenvariesfromfamilytofamilywecallitthevariable
anddenoteitwithsymbolx.Avariablecanhavedifferentvalues.Howfrequentlyavalue
occursisitsfrequency.Variable(x)0to3arevaluesandtheirfrequenciesare4,8,20
and 38.
Herevalue‘0’occurs4timesvalue‘1‘occurs8timesandsoon.
Acontinuousvariableontheotherhandhascontinuityinitsscaleandmeasurement,such
asscaleofheight,weight,length,distanceetc.continuousvariablesareusuallyplaced
incontinuousseriesasgivenbelow:
Height(x) 60′-62′′ 62′′-64′′ 64′′-66′′ 66′′-68
Numberofsoldiers(frequency) 100 200 110 80
Tableshowstherangeofheights(x)withthecorrespondingfrequencies.Itcanberead
as100soldiershavingtheirheightbetween60′′-62′′,200havingheightbetween62′′-
64′′ and so on.
Attributes:Whendatacannotbeclassifiedinthemagnitudeoftimeorsizeitisknown
asanattributesuchasbeauty,bravery,intelligence,lazinessetc.Attributesaredifficult
tobeinvestigatedindepth.Thesecanonlybenumberedforastudyofalimitedpurpose.
Statisticalseries:Instatisticstherearethreetypesofseriesintowhichdatacanbe
organised.
Individual series: In this kind of series items are shown individually with their
correspondingvalue.Eachitemhasitsseparateandindividualexistence.Massdatain
itsoriginalformarecalledrawdataorunorganiseddata.Butwhentheyarearranged
inascendingordescendingorderofmagnitude,iscalledanarray.
Supposeaninvestigatorhasgotthefollowinginformationaboutthemarksobtainedin
economicsoutof100scoredby20studentsinaschool.
ECONOMICS
Collection and Presentation of DataMODULE - 6
Notes
Presentation and Analysis
of Data in Economics
36
Table 17.5
Marksobtainedby20studentsinEconomicsoutof100
40 50 35 40 48
50 80 70 75 47
45 75 90 60 57
60 50 80 55 73
The above raw data can be arranged in ascending order which starts from lowest
numberandgoestowardshighestnumberasshowninthefollowingtable:
Table 17.6Arranged in ascending order (Marks out of 100)
35 47 50 60 75
40 48 55 70 80
40 50 57 73 80
45 50 60 75 90
Theabovedatacanalsobearrangedindescendingorderi.e.fromhighestnumberto
lowestnumberasshowninthefollowingtable:
Table 17.7Arranged in descending order (Marks out of 100)
90 75 60 50 45
80 73 57 50 40
80 70 55 48 40
75 60 50 47 35
DiscreteSeries:Thistypeofseriesisdesignedtoshowvariableswithdefinitebreak
withtheirrespectivefrequencies.Frequencyreferstotherepetitivenessofavalueor
item.Ifaparticularvalue(X)appear4timesinasetofdataXwillhaveafrequencyof
4.Theoreticallythiskindofseriesispreparedonlyforadiscretevariable,however,in
practicecontinuousanddiscretevariablesareusedinterchangeably.Followingisan
exampleofdiscreteseries.
Table 17.8
Marks 30 40 50 60 70 80 90 Total
Numberofstudents(f) 4 6 10 20 10 6 4 60
Collection and Presentation of Data
ECONOMICS
Notes
MODULE - 6
Presentation and Analysis
of Data in Economics
37
Continuous Series: This kind of series is framed for placing frequency with
correspondinggroupofvariableswhichareclassifiedingroupsasshownbelow.
Table 17.9
x 0-10 10-20 20-30 30-40 40-50
f 7 13 20 13 7
Thiskindofseriesmaybeconstructedusinginclusivemethodorexclusivemethod.
Aboveexampleisthatofanexclusiveseries.Incaseofinclusiveseriesfrequency
correspondingtotheupperlimitofgroupisincludedinthesamegroup,whileitis
includedinsubsequentgroupincaseofexclusiveseries.
INTEXT QUESTIONS 17.2
1. Identifywhetherthefollowingitemsarevariableorattributes?
(i) Heightofastudent
(ii) Beautyofagirl
(iii) Intelligencelevelofaboy
(iv) Mileageofacar
(v) WeightofMrX
17.4.2 Tabulation
Afterthedataiscollectedandclassified,itisalwaysusefultoputthemintorowsand
columnsinatable.
Astatisticaltablemaybeasimpleoneoritmaybeacomplexone,dependingupon
numberofvariableincorporatedintoit.Givenbelowisaformatofsimplestatistical
table.
Table 17.10
Part of a table
SubHeading Caption
Column Column
I II I II
Rows
Rows
Rows
Source:
Footnote
ECONOMICS
Collection and Presentation of DataMODULE - 6
Notes
Presentation and Analysis
of Data in Economics
38
Thistablemaybeonewayortwowaysormanifold.Followingillustrationaresimple
exampleoftabulation.
Illustration 1
During2010-11,therewerethreefacultieswith840studentsincommerce,660in
scienceandonly50studentsinmanagement.
Thepercentageofmalesis40%,25%and20%respectivelyineachsubjectstream.
Thisdatacanbetabulatedasfollows
Table 17.11
Faculty Numberofstudents Total
Male Female
Commerce 336 504 840
Science 165 495 660
Management 100 400 500
Total 601 1399 2000
17.4.3 Diagrammatic and Graphic Presentation of Data in Economics
Datarelatingtotwovariablesmaybeshownwiththehelpofasimplegraph.Itisusually
intheformoflineorcurve.Datarelatingtoatimeseriesorafrequencydistributioncan
beeasilypresentedinagraph.
Diagrammaticpresentationisageometricalversionofthedata.Diagramspresentthe
factsinsuchamannerthatjustbyglancingatthemonecanunderstandthemostcomplex
data.Diagramsmaybeone-dimensionalortwodimensionalandeventhree-dimensional.
Bardiagramsareusuallyonedimensionaldiagram,onlyheightofthediagramisrelevant
andnotthewidth.
Herewewilldiscussonlyaboutonedimensionaldiagram.
Onedimensionaldiagrams
Onedimensionaldiagramsarealsocalledbardiagramwhicharemostcommonlyused
inpractice.Therearevarioustypesofbardiagramsbutherewewillstudyaboutsimple
bardiagramsonly.
SimpleBarDiagram:Theyareverysimpletopresentbutonlyonetypeofvariablecan
be presented.Asimple bar can be drawn either on horizontal or vertical base. But
verticalbarsonhorizontalbasearemorecommonlyusedinpractice.Barsmustbeof
uniformthicknessandtheyshouldbeplacedatequaldistance.
Collection and Presentation of Data
ECONOMICS
Notes
MODULE - 6
Presentation and Analysis
of Data in Economics
39
Letusnowexplainhowasimplebardiagramcanbepresentedfromthegivendata.The
followingtablegivesdataonbirthrateinIndia,accordingtocensussurveyofdifferent
years.Thisinformationispresentedinsimplebardiagramasgivenbelow.
Table 17.12
Year 1931-40 1941-50 1951-60 1961-70 1971-80 1981-90
Birthrate 45 35 30 28 24 20
Fig. 17.1 Birth rate in India
Datamayalsobepresentedgraphically.Ineconomicsandstatisticsthevaluesmaybe
oftime,relationship,frequenciesetc.Incaseoftimeseriesgraph,x-axisrepresentstime
andy-axisthevariable.Itisnecessarytodecideaconvenientscaleforeachaxisto
accommodatethecompletedatagiven.Thescaleoftwoaxiscanbedifferent.
Illustration 2
Thenumberofstudentsinaschoolforfiveyearsisgivenbelow:
Table 17.13
Year 2007 2008 2009 2010 2011
No.ofstudents 1000 2500 3800 4500 5200
Wecanpresentthisdataintheformofagraph
Fig.17.2EnrolmentofstudentP(2007-2011)
ECONOMICS
Collection and Presentation of DataMODULE - 6
Notes
Presentation and Analysis
of Data in Economics
40
WHAT YOU HAVE LEARNT
Datameansanyquantitativeinformationaboutincome,population,pricesetc.
Statistics/Dataaretheaggregateoffacts,affectedtoamarkedextentbymultiplicity
ofcause,numericallyexpressed,havingreasonablestandardofaccuracy,collected
forpredeterminedpurposeandplacedinrelationtoeachother.
Dataareimportantineconomicplanning,fordeterminationofnationalincome,in
formingfiscalandmonetarypoliciesandassistcentralbankofacountry.
Datawhichareoriginallycollectedforthefirsttimeforthepurposeofthesurvey,
arecalledprimarydata.
Whenweusethedatawhichhavealreadybeencollectedbyothers,thedataare
calledsecondarydata.
Primarydatacanbecollectedby:(i)Directpersonalinvestigation(ii)Indirect
investigation(iii)throughcorrespondent(iv)bymailedquestionnaire(v)through
schedules
Sourcesofsecondarydatamaybeintheformofpublishedorunpublisheddata.
Datacanbepresentedintheformofclassificationindividualseries,discreteseries
andcontinuousseries;graphsanddiagrams.
Datacanbepresentedintheformofsimplebardiagram
TERMINAL QUESTIONS
1. Definedata.Howareprimarydatacollected?
2. Whatisthedifferencebetweenprimaryandsecondarydata?
3. Distinguishbetweenvariableandaanattribute.
4. Explainthefollowing(a)Classification
5. Explainthefollowingmethodsofpresentationofdata:
(a) Tabulation (b) Diagram
6. Constructasimplebardiagramfromthedatagivenbelow:
State Numberofmanagementcolleges
Rajasthan 200
Punjab 400
Gujarat 150
Collection and Presentation of Data
ECONOMICS
Notes
MODULE - 6
Presentation and Analysis
of Data in Economics
41
ANSWERS TO INTEXT QUESTIONS
Intext Questions 17.1
(i) No (ii) No (iii) No (iv) Yes
Intext Questions 17.2
(i) Variable (ii) Attribute (iii) Attribute (iv) Variable (v) Variable

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Collection and presentation of data

  • 1. Collection and Presentation of Data ECONOMICS Notes MODULE - 6 Presentation and Analysis of Data in Economics 29 17 COLLECTIONAND PRESENTATION OF DATA Gettinginformationonvariousthingsaroundushasbecomeawayoflife.Information itselfisamajorsourceofknowledge.Withoutinformationitisdifficulttotakedecisions. Withdevelopmentofscienceandtechnologythesourcesofinformationhaveincreased andbecomeaccessibleaswell.Books,Newspapers,magazines,telephone,television, internetandmobilephonesetc.areallmediumofprovidinginformationofvariouskinds. Informationisbothqualitativeandquantitativeinnature. Good,bad,ugly,beautiful, responsible,noble,handsome,educatedetcaretermsusedtodescribepersons,can besaidtobequalitativeinnature.Informationonincome,expenditure,savings,rateof growth,height,weight,markssecured,population,foodproduction,etcaregivenin quantitativeornumericalterms.Inthestudyofeconomicsquantitativeinformationsare mostlyusedforanalysis. OBJECTIVES Aftercompletingthislesson,youwillbeableto: understand the meaning of the term data; distinguish between various types of data; distinguish between variables and attributes; identify the areas of an economy where we cannot do without the data; classify and tabulate data; understand various forms of presentation of data. 17.1 MEANING AND FEATURES OF DATA Datameansquantitativeinformationprovidingfactsinanaggregatemanner.The informationcouldbeonanythingthatcanbegivennumericallyandusefulfordecision
  • 2. ECONOMICS Collection and Presentation of DataMODULE - 6 Notes Presentation and Analysis of Data in Economics 30 making.Itisalsocalledstatisticaldataorsimplystatistics.Dataisapluralterm.The singularofdataisdatum. Fromthemeaningwecangivesomefeaturesofthetermstatisticsordatabelowwith example. (i) Statistics are the aggregate of facts Asinglefactcannotbeconsideredasstatisticsordata.Forexample,themarkssecured byastudentofclassXinmathematicsare95.Thisisgivenassingleinformationwhich issimplyafactandnotthedata.However,themarkssecuredbyallthestudentsofclass Xofaschool,eithersectionwiseorintotalcanbeconsidereddata,becauseitbecomes anaggregateoffacts.Byjusttellingthemarksofonestudent,wecannotknowthe performanceofothersandaccordinglywecannotcarryoutanyanalysistorecommend for their betterment. This means that by giving aggregate of facts, data become meaningfulasitprovidesscopeforcarryingoutanalysis. See the table below. It gives the marks secured by all the 18 students of a class in mathematics.Bylookingatthiswecancomparetheperformanceofthewholeclass. Sothisisanexampleofdata. Table 17.1 Students Marks Students Marks A 95 J 35 B 90 K 30 C 75 L 85 D 65 M 20 E 90 N 90 F 100 O 80 G 80 P 70 H 45 Q 100 I 40 R 50 Fromtheabovedatawecanknowthefollowing (i) Howmanystudentshavesecuredmorethan90?(ii)Howmanystudentshave failed?(iii)Howmanystudentssecuredlessthan50?Onthebasisoftheanswers tothesequestions,theteachercantakenecessarystepstoimprovetheperformance ofstudentswhereverneeded.Sointhiswayasaggregateoffactsdataaremore meaningfulthananysingleinformation.
  • 3. Collection and Presentation of Data ECONOMICS Notes MODULE - 6 Presentation and Analysis of Data in Economics 31 (ii) Numerically expressed Statisticsordataarealwaysquantitativeinnature.Qualitativeinformationsuchasgood, bad,average,handsome,uglyareexamplesofsomeattributes,themagnitudeofwhich cannotbequantifiedandassuchthesecannotbecalledstatisticsordata.Whenfacts are put into a framework of numbers either through counting and calculation or estimation,thesemaybecalleddata.Intheabovetablemarksofstudentsaregiven numerically.Wecangiveanotherexampleasintable17.2belowwhichshowsnumber ofstudentsadmittedinthe1styearindifferentcollegesinanimaginarycity. Table 17.2 College NumberofStudents Govt.College 409 SavitriCollege 308 J.P.College 401 N.D.College 510 (iii) Data are affected to a marked extent by multiplicity of causes Data are not influenced by a single factor but are influenced by many factors. For Example, rise in prices of commodities may have been due to several causes like, reductioninsupply,increaseindemand,riseintaxes,riseinwagesetc. (iv) Reasonable standard of accuracy 100% accuracy in statistics is neither possible nor desirable. What is needed and expected is only a reasonable standard of accuracy. If a doctor has invented a new medicinetocontrolcholesterolandstatisticallyheascertainedthat90%ofpatientshave respondedwellandstatisticallyif95%personsrespondedtothetreatment,itmaybe consideredthatthenewmedicineisgoodandithasreasonablestandardofaccuracy astheresultsshowthatonly90%ofpatientshaverespondedwellandnot100%.It reflectsreasonablestandardofaccuracy. (v)Predeterminedpurpose Data are collected for a predetermined purpose. Both the above tables serve some importantpurposes.Thedataintable17.1canbeusedtoevaluatetheperformanceof studentsinmathematics.Dataintable17.2canbeusedtoknowthesituationofhigher educationinthecitytosomeextentonthebasisofknowingnumberofyoungpeople enteringcollege. 17.2 IMPORTANCE OF DATA IN ECONOMICS Somespecificareasofeconomicswheretheuseofdataisveryimportantareasfollows:
  • 4. ECONOMICS Collection and Presentation of DataMODULE - 6 Notes Presentation and Analysis of Data in Economics 32 1. In economic planning: The data of the previous years are generally used to preparefutureplan.Forexample,ifwehavetoplanexpendituretobeincurredon primaryeducationforayear,dataregardingnumberofstudentswhowereenrolled uptoclassfifthinpreviousyearsandtheexpenditureincurredduringthoseyears isimportanttolookat.Forecastingisdoneonthebasisofeconomicplanning.For example,ifwewanttopredictthegrowthofpercapitaincomeofacountry,thedata onthegrowthrateofpopulationandthenationalincomearealsotobecollected andconsidered. 2. Todeterminenationalincome:Inordertoknowthestateofoureconomyitis importanttoknowthenationalincomebesidesvariousotherthings.Butnational incomecanbedeterminedbyusingcertainmethodswhichrequirequantitative informationonvariousthingssuchaswagesandsalariesreceivedbyworkers,rent receivedforuseoflandandbuilding,interestreceivedforuseoffundsandprofit earnedbytheentrepreneursintheeconomyinthegivenyear. 3. Basisofgovernmentpolicies:Statisticaldataarewidelyusedbygovernmentto framepoliciesforeconomicdevelopmentofthecountry.Onthebasisofdataon thevastnumberofpoorandunemployedpeopleinIndia,thegovernmenthadto makepolicytoremovepovertyandunemploymentbyenactingNationalRural EmploymentGuaranteeAct.Thispolicyofthegovernmentguaranteesanunemployed personatleast100daysofwageemploymentinayear.InIndiaCensuswhichis carriedoutonceinevery10yearsprovidedataonmaleandfemalepopulation, numberofliterates,numberofworkersetc.Onthebasisofthedataonmaleand femalepopulationitwasfoundthatIndiahas938femalesper1000males.Insome states like Haryana there are only 848 females per 1000 males. This is a very alarmingsituationbecauseoneofthereasonsforlowfemalepopulationiskillingof girlchildbeforeitstakingbirth.Onthebasisofthisdatanowthegovernmentis makingpolicytosavethegirlchild. INTEXT QUESTIONS 17.1 1. Identifywhetherfollowingaredataornot.Writeyes/nointhebracket (i) MissMonikasecured75%marksineconomics ( ) (ii) KrishisabetterplayerthanHari ( ) (iii) Lalitasecuredgoodmarks ( ) (iv) Numberofstudentsintherecordsofschoolsareasfollows;wouldyoucall these records as data?
  • 5. Collection and Presentation of Data ECONOMICS Notes MODULE - 6 Presentation and Analysis of Data in Economics 33 Table 17.3 Faculty SchoolA School B Arts 400 700 Science 600 400 Commerce 300 300 17.3 TYPES OF DATA Onthebasisofthesourceofcollectiondatamaybeclassifiedas: (a) Primarydataand (b) Secondarydata (a)Primarydata Thedatawhichareoriginallycollectedforthefirsttimeforthepurposeofthesurvey arecalledprimarydata.Forexamplefactsordatacollectedregardingthehabitoftaking teaorcoffeeinavillagebyaninvestigator. Methodsofcollectingprimarydata 1. Directpersonalinvestigation:Underthismethodtheinvestigatorcollectsthe datapersonallyfromtherespondent.Thepersonwhocollecttheinformationis called the investigator and the person who gives the responses/answers the questionsaskedbytheinvestigatoriscalledarespondent.Thedatacollectedinthis mannerarethereforemostreliable.However,thereisachancethattheresultsare influencedbythepersonalbiasandprejudiceoftheinvestigator. 2. Indirectinvestigations:Underthismethodtheinvestigatorobtainsinformation indirectlyfromathirdpersonwhoisexpectedtoknowfactsaboutthepersonabout whomtheenquiryisdone.Itisgenerallyusedbythecommissionappointedbythe government. 3. Through correspondent: Under this method correspondents or agents are appointed by the investigator to obtain data from various places. These correspondentsarerequiredtocollectandpassthetransmitinformationtothe investigatororthecentraloffice.Thismethodiswidelyusedbynewspaperoffices. 4. Bymailedquestionnaire:Underthismethodawellstructuredquestionnaireis preparedandmailedtotherespondentbypost.Therespondentafterfillingupthe questionnairesenditbackwithinthegiventime.However,thismethodcanonlybe usedwhenrespondentsareliterateandcanfillinthequestionnaire.
  • 6. ECONOMICS Collection and Presentation of DataMODULE - 6 Notes Presentation and Analysis of Data in Economics 34 5. Throughschedules:Underthismethodthefieldworkersareaskedtogotothe respondentwithquestionscontainedintheschedule.Theycollecttheanswersin theirownhandwritingandprovidedatatotheinvestigator.Thismethodisuseful whentherespondentisilliterate. (b) Secondarydata Whenweusethedata,whichhavealreadybeencollectedbyothers,thedataarecalled secondarydata.Thisdataissaidtobeprimaryfortheagencywhichcollectsitfirst,and itbecomessecondaryforalltheotherusers. Sources of secondary data Secondarydatamayexistintheformofpublishedorunpublishedform.Initspublished formsecondarydatamaybeobtainedfrom (a) Publishedreportsofnewspapers,RBIandperiodicals. (b) Publicationfromtradeassociations (c) Financialdatareportedinannualreports (d) DataavailableinSEBIpublication (e) Informationfromofficialpublications (f) PublicationofinternationalbodiessuchasUNO,WorldBanketc. (g) Others Initsunpublishedformsecondarydatamayexistas (a) Internalreportsofthegovernmentdepartments (b) Recordsmaintainedbytheinstitutions (c) Researchreportspreparedbystudentsintheuniversities 17.4 PRESENTATION OF DATA Datacollectedintheformofschedulesandquestionnairesarenotself-explanatory. Theseareintheformofrawdata.Inordertomakethemmeaningful,thesearetobe madepresentableClassificationandtabulationarethebasictoolsofpresentingrawdata insystematicway. 17.4.1 Classification Classificationisaprocessofarrangingdataintoclassesorgroupsaccordingtotheir resemblancesandaffinities.Massdatainitsoriginalformiscalledrawdata.
  • 7. Collection and Presentation of Data ECONOMICS Notes MODULE - 6 Presentation and Analysis of Data in Economics 35 Variableandattributes Variable:Whendataiscapableofbeingclassifiedinthemagnitudeoftimeorsizeit iscalledasvariable.Height,weight,length,distanceareexampleofvariables.Variables maybeeitherdiscreteorcontinuous.Discretevariableusuallyhaveaspecificvalueor measurement.Numberofchildrenperfamily,sayforexample,isadiscretevariable becauseitcannotbebrokenintofactors Table 17.4 No.ofchildrenperfamily 0 1 2 3 4 Nooffamilies 4 8 20 38 10 Thistablerevealsthatthesearefourfamilieswithoutchildren,8familieshavingonechild andsoon.Sincetheno.ofchildrenvariesfromfamilytofamilywecallitthevariable anddenoteitwithsymbolx.Avariablecanhavedifferentvalues.Howfrequentlyavalue occursisitsfrequency.Variable(x)0to3arevaluesandtheirfrequenciesare4,8,20 and 38. Herevalue‘0’occurs4timesvalue‘1‘occurs8timesandsoon. Acontinuousvariableontheotherhandhascontinuityinitsscaleandmeasurement,such asscaleofheight,weight,length,distanceetc.continuousvariablesareusuallyplaced incontinuousseriesasgivenbelow: Height(x) 60′-62′′ 62′′-64′′ 64′′-66′′ 66′′-68 Numberofsoldiers(frequency) 100 200 110 80 Tableshowstherangeofheights(x)withthecorrespondingfrequencies.Itcanberead as100soldiershavingtheirheightbetween60′′-62′′,200havingheightbetween62′′- 64′′ and so on. Attributes:Whendatacannotbeclassifiedinthemagnitudeoftimeorsizeitisknown asanattributesuchasbeauty,bravery,intelligence,lazinessetc.Attributesaredifficult tobeinvestigatedindepth.Thesecanonlybenumberedforastudyofalimitedpurpose. Statisticalseries:Instatisticstherearethreetypesofseriesintowhichdatacanbe organised. Individual series: In this kind of series items are shown individually with their correspondingvalue.Eachitemhasitsseparateandindividualexistence.Massdatain itsoriginalformarecalledrawdataorunorganiseddata.Butwhentheyarearranged inascendingordescendingorderofmagnitude,iscalledanarray. Supposeaninvestigatorhasgotthefollowinginformationaboutthemarksobtainedin economicsoutof100scoredby20studentsinaschool.
  • 8. ECONOMICS Collection and Presentation of DataMODULE - 6 Notes Presentation and Analysis of Data in Economics 36 Table 17.5 Marksobtainedby20studentsinEconomicsoutof100 40 50 35 40 48 50 80 70 75 47 45 75 90 60 57 60 50 80 55 73 The above raw data can be arranged in ascending order which starts from lowest numberandgoestowardshighestnumberasshowninthefollowingtable: Table 17.6Arranged in ascending order (Marks out of 100) 35 47 50 60 75 40 48 55 70 80 40 50 57 73 80 45 50 60 75 90 Theabovedatacanalsobearrangedindescendingorderi.e.fromhighestnumberto lowestnumberasshowninthefollowingtable: Table 17.7Arranged in descending order (Marks out of 100) 90 75 60 50 45 80 73 57 50 40 80 70 55 48 40 75 60 50 47 35 DiscreteSeries:Thistypeofseriesisdesignedtoshowvariableswithdefinitebreak withtheirrespectivefrequencies.Frequencyreferstotherepetitivenessofavalueor item.Ifaparticularvalue(X)appear4timesinasetofdataXwillhaveafrequencyof 4.Theoreticallythiskindofseriesispreparedonlyforadiscretevariable,however,in practicecontinuousanddiscretevariablesareusedinterchangeably.Followingisan exampleofdiscreteseries. Table 17.8 Marks 30 40 50 60 70 80 90 Total Numberofstudents(f) 4 6 10 20 10 6 4 60
  • 9. Collection and Presentation of Data ECONOMICS Notes MODULE - 6 Presentation and Analysis of Data in Economics 37 Continuous Series: This kind of series is framed for placing frequency with correspondinggroupofvariableswhichareclassifiedingroupsasshownbelow. Table 17.9 x 0-10 10-20 20-30 30-40 40-50 f 7 13 20 13 7 Thiskindofseriesmaybeconstructedusinginclusivemethodorexclusivemethod. Aboveexampleisthatofanexclusiveseries.Incaseofinclusiveseriesfrequency correspondingtotheupperlimitofgroupisincludedinthesamegroup,whileitis includedinsubsequentgroupincaseofexclusiveseries. INTEXT QUESTIONS 17.2 1. Identifywhetherthefollowingitemsarevariableorattributes? (i) Heightofastudent (ii) Beautyofagirl (iii) Intelligencelevelofaboy (iv) Mileageofacar (v) WeightofMrX 17.4.2 Tabulation Afterthedataiscollectedandclassified,itisalwaysusefultoputthemintorowsand columnsinatable. Astatisticaltablemaybeasimpleoneoritmaybeacomplexone,dependingupon numberofvariableincorporatedintoit.Givenbelowisaformatofsimplestatistical table. Table 17.10 Part of a table SubHeading Caption Column Column I II I II Rows Rows Rows Source: Footnote
  • 10. ECONOMICS Collection and Presentation of DataMODULE - 6 Notes Presentation and Analysis of Data in Economics 38 Thistablemaybeonewayortwowaysormanifold.Followingillustrationaresimple exampleoftabulation. Illustration 1 During2010-11,therewerethreefacultieswith840studentsincommerce,660in scienceandonly50studentsinmanagement. Thepercentageofmalesis40%,25%and20%respectivelyineachsubjectstream. Thisdatacanbetabulatedasfollows Table 17.11 Faculty Numberofstudents Total Male Female Commerce 336 504 840 Science 165 495 660 Management 100 400 500 Total 601 1399 2000 17.4.3 Diagrammatic and Graphic Presentation of Data in Economics Datarelatingtotwovariablesmaybeshownwiththehelpofasimplegraph.Itisusually intheformoflineorcurve.Datarelatingtoatimeseriesorafrequencydistributioncan beeasilypresentedinagraph. Diagrammaticpresentationisageometricalversionofthedata.Diagramspresentthe factsinsuchamannerthatjustbyglancingatthemonecanunderstandthemostcomplex data.Diagramsmaybeone-dimensionalortwodimensionalandeventhree-dimensional. Bardiagramsareusuallyonedimensionaldiagram,onlyheightofthediagramisrelevant andnotthewidth. Herewewilldiscussonlyaboutonedimensionaldiagram. Onedimensionaldiagrams Onedimensionaldiagramsarealsocalledbardiagramwhicharemostcommonlyused inpractice.Therearevarioustypesofbardiagramsbutherewewillstudyaboutsimple bardiagramsonly. SimpleBarDiagram:Theyareverysimpletopresentbutonlyonetypeofvariablecan be presented.Asimple bar can be drawn either on horizontal or vertical base. But verticalbarsonhorizontalbasearemorecommonlyusedinpractice.Barsmustbeof uniformthicknessandtheyshouldbeplacedatequaldistance.
  • 11. Collection and Presentation of Data ECONOMICS Notes MODULE - 6 Presentation and Analysis of Data in Economics 39 Letusnowexplainhowasimplebardiagramcanbepresentedfromthegivendata.The followingtablegivesdataonbirthrateinIndia,accordingtocensussurveyofdifferent years.Thisinformationispresentedinsimplebardiagramasgivenbelow. Table 17.12 Year 1931-40 1941-50 1951-60 1961-70 1971-80 1981-90 Birthrate 45 35 30 28 24 20 Fig. 17.1 Birth rate in India Datamayalsobepresentedgraphically.Ineconomicsandstatisticsthevaluesmaybe oftime,relationship,frequenciesetc.Incaseoftimeseriesgraph,x-axisrepresentstime andy-axisthevariable.Itisnecessarytodecideaconvenientscaleforeachaxisto accommodatethecompletedatagiven.Thescaleoftwoaxiscanbedifferent. Illustration 2 Thenumberofstudentsinaschoolforfiveyearsisgivenbelow: Table 17.13 Year 2007 2008 2009 2010 2011 No.ofstudents 1000 2500 3800 4500 5200 Wecanpresentthisdataintheformofagraph Fig.17.2EnrolmentofstudentP(2007-2011)
  • 12. ECONOMICS Collection and Presentation of DataMODULE - 6 Notes Presentation and Analysis of Data in Economics 40 WHAT YOU HAVE LEARNT Datameansanyquantitativeinformationaboutincome,population,pricesetc. Statistics/Dataaretheaggregateoffacts,affectedtoamarkedextentbymultiplicity ofcause,numericallyexpressed,havingreasonablestandardofaccuracy,collected forpredeterminedpurposeandplacedinrelationtoeachother. Dataareimportantineconomicplanning,fordeterminationofnationalincome,in formingfiscalandmonetarypoliciesandassistcentralbankofacountry. Datawhichareoriginallycollectedforthefirsttimeforthepurposeofthesurvey, arecalledprimarydata. Whenweusethedatawhichhavealreadybeencollectedbyothers,thedataare calledsecondarydata. Primarydatacanbecollectedby:(i)Directpersonalinvestigation(ii)Indirect investigation(iii)throughcorrespondent(iv)bymailedquestionnaire(v)through schedules Sourcesofsecondarydatamaybeintheformofpublishedorunpublisheddata. Datacanbepresentedintheformofclassificationindividualseries,discreteseries andcontinuousseries;graphsanddiagrams. Datacanbepresentedintheformofsimplebardiagram TERMINAL QUESTIONS 1. Definedata.Howareprimarydatacollected? 2. Whatisthedifferencebetweenprimaryandsecondarydata? 3. Distinguishbetweenvariableandaanattribute. 4. Explainthefollowing(a)Classification 5. Explainthefollowingmethodsofpresentationofdata: (a) Tabulation (b) Diagram 6. Constructasimplebardiagramfromthedatagivenbelow: State Numberofmanagementcolleges Rajasthan 200 Punjab 400 Gujarat 150
  • 13. Collection and Presentation of Data ECONOMICS Notes MODULE - 6 Presentation and Analysis of Data in Economics 41 ANSWERS TO INTEXT QUESTIONS Intext Questions 17.1 (i) No (ii) No (iii) No (iv) Yes Intext Questions 17.2 (i) Variable (ii) Attribute (iii) Attribute (iv) Variable (v) Variable