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    STATISTICS MCQs

    1.Statistics that is used to make valid inferences from the data for effective decision making amongmanagers or professionals is

    a. Descriptive Statisticsb. Inferential Statistics c. None of the aboved. All of the above

    2.“Statistics is the science of collection, presentation, analysis and interpretation of numerical data fromlogical analysis is the definition given by

    a. !ebster b. "oddingtonc. A. # "o$leyd. Croxton and Cowden

    %.A professor asked the students in a class their heights. &n the basis of this information, the professor states that the average height of all the students in the university is 21 years. 'his is an e(ample of 

    a.a censusb.descriptive statisticsc.an e(perimentd.)nferential Statistics

    *.'he measure describing the characteristics of the population is kno$n asa. Parameter b.Samplec.Statistics

    d.+ensus

    .!hich of the follo$ing terms best describes the data collected for the first time keeping in vie$ theob-ective of the surveya. Primary data b. Secondary datac. )mportant datad. /ersonal data

    0.Secondarye(isting data may include $hich of the follo$inga.eports and official publications of international and national organisationsb.ecords maintained by various government and private officesc.)nternet contentd.All of the above

    3.)n $hich of the follo$ing method, the investigator contacts $itnesses or neighbours or friends or someother third parties $ho are capable of supplying the necessary information.a. Direct personal observationb. Indirect oral interviewc. )nformation through agenciesd. )nformation through mailed 4uestionnaires

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    1.A measure $hich divides an array into four parts is kno$n asa. /ercentilesb. Decilesc. #artilesd. >edian

    10.Algebraic sum of deviations of a set of values taken form their mean isa. 1b. 2c. %d. $

    13.'he standard deviation is?

    a.'he s4uare root of the variance

    b.A measure of variability

    c.An appro(imate indicator of ho$ numbers vary from the mean

    d.All of the above15.'o compare the homogeneity or stability or consistency of t$o or more data sets $e usea. Arithmetic >eanb. Standard Deviationc. Coefficient of %ariationd. >ean Deviation

    17.!hich of the follo$ing represents the fiftieth percentile, or the middle point in a set of numbersarranged in order of magnitudea. >ode

    b."edian

    c.>ean

    d.@ariance

    28.'he mode for the data 5,3,0,,0,0,3,0 isa. 5b. 3

    c. &d.

    21.'he probability of an event must lie $ithin the interval froma. $ to '

    b. 1 to 1c. 1 to 2d. 1 to 8

    22. B C E B C B represents $hich rule, given that A and " are eventsa.Addition ruleb."ltiplication rlec.+onditional probabilityd.)ntersection of events

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    2%.Fnder $hich approach, the probability of an event is kno$n before conducting the e(perimenta. Statistical approachb. Sub-ective approachc. A(iomatic approach

    d. Classical approach

    2*.'he >athematical e(pectation of a random variable is given bya.()*+, -*i P )*i+b.GHIJE KIi / HIi2Jc.GHIJE KIi2 /HIiJd.GHIJE KIi2 /HIi2J

    2.LLLLLLLLLLL is obtained $hen the binomial e(periment is conducted many number of times.a. /robability distribution b. Normal distributionc. Poisson processd. "inomial process20.)f I is a /oisson variate, such that /HI E 1J E /HI E 2J, find /HI E 8J.a.8.8*737b.$.'/0c.8.2%52d.8.1*7%323.Number of heads obtained in * tosses of a coin is an e(ample ofa. 1inomial distribtionb. "ernoulli distributionc. /oisson distributiond. Normal distribution

    25.!hich sampling theory states that, “other things being e4ual, as the sample si6e increases, the resultstend to be more reliable and accuratea. #a$ of statistical regularity

    b. Principle of inertia of large nmbersc. /rinciple of persistence of small numbersd. /rinciple of validity

    27.'he use of table of random numbers is done in $hich sampling categorya.Stratified random samplingb.Simple random samplingc.Systematic samplingd.+luster sampling

    %8. )n $hich of the follo$ing sampling techni4ue the choice of sample items depends e(clusively on the -udgment of the investigator.

    a.Sno$ballb.+onveniencec.2dgmentd.Muota%1.A single number, used to estimate an unkno$n population parameter isa. Point (stimateb. )nterval Gstimatec. )nterval Gstimates of the proportiond. All the above

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    %2.)f the sample si6e is less than %8 and the population standard deviation is not kno$n, $e use the LLLLLLLLLLLLL for estimation.a. Normal distributionsb. Standard deviation

    c. Stdent3s 4t3 distribtiond. "inomial distribution

    %%.e-ecting a null hypothesis $hen it is true constitutes LLLLLLLLLLL .a.Type I error b.'ype )) error c./roducers riskd.ight decision

    %*.'he results of +his4uare test cannot be accurate if the cell fre4uencies in a contingency table are lessthan LLLLLLLL.a. 8b. /

    c. 28d. 18

    %.'he LLLLLLLLLLLL is also kno$n as variance ratio test.a.Null hypothesis

    b.Alternate hypothesis

    c.56test

    d.'heoretical distribution

    %0.!hich business forecasting method is used $hen business indices are constructed to study andanalyse the business activities on the basis of $hich future conditions are predetermineda. 1siness barometersb. 'ime series analysisc. G(trapolationd. egression analysis

    %3.'he long term oscillations that represent consistent rise and decline in the values of the variable arecalleda. #ong term trendb. Seasonal variationsc. Cyclic variationsd. andom variables

    %5./rice and demand of the commodity is an e(ample of a./ositive correlationb.7egative correlationc.Oero correlationd.multiple correlation

    %7.'he range of the correlation coefficient isa. 1 to 8.b. 8 to 1.

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    c. 6' to '.d. None of the above

    *8.)n $hich method, $e forecast the value, for the time period t, to be e4ual to the actual value observedin the previous period, that is, time period Ht1J

    a. >ean forecast

    b. 7a8ve forecast

    c.#inear trend forecast

    d.Nonlinear trend forecast

    *1.Statistical measure $hich is designed to e(press changes or differences in a variable or a group of related variables isa. +orrelationb. egressionc. Index nmbersd. 'ime series

    *2.!hich test says, the formula should permit the interchange of price and 4uantity $ithout givinginconsistent resultsa. Fnit testb. 'ime reversal testc. 5actor reversal testd. +ircular test

    *%.)f $e find the ;eometric average of #aspeyre=s and /aasches inde(, $e geta.5ishers Ideal index nmber b.Dorbish and "o$leys inde(c.#aspeyre=s inde(d./aasches inde(

    **.)f the population value follo$s normal distribution then to have 7P confidence interval for estimate $eusea. O E 1.0*b. O E 2.8 c. 9 , '.:&d. O E 2.5*.'he price of a commodity in )ndia in 2881 $as s. 7 per kg and in 2888 it $as s.58 per kg. 'heprice relative for the year 2881 isa. 117P

    b. '';.

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    d. Consmer price index

    *3.'ests satisfied by :isher=s ideal inde(

    a.Fnit test and 'ime reversal test

    b.Time reversal test and 5actor reversal testc.:actor reversal test and +ircular testd.Fnit test and +ircular test

    *5.!hich of the follo$ing is true of the null and alternative hypothesisa. (xactly one hypothesis mst be treb. both hypothesis must be truec. )t is possible for both hypothesis to be trued. )t is possible for neither hypothesis to be true

    *7.)n $hich of the follo$ing cases, $e can make statistical analysis Qa./urchasing medicine prescribed by a doctor b.Data on result of a cricket final match

    c.>arks obtained by a student in statisticsd.Investing fnds in several options

    8. 'he Arithmetic >ean for the values ,18,12,5,0 isa.b.18c.0d.;.>

    1.i. 1. 'he totality of all units in a survey is called LLLLLLLLLLLLLLL. ii . A LLLLLLLLLLLLLL is a part or asubset of the population.a.i Fnit, ii Statisticb.i @ariable, ii Fnitc.i 6 Poplation? ii 6 Sample

    d.i Statistic, ii Q /opulation

    2.A random variable takes the values %, 2, 1, 8, *, 0 $ith probabilities 112, 212, %12, *12, 112, 112respectively. 'he mean or e(pected value and variance is

    a. '@> and >@0 b. 2% and 12c. 2%* and 12d. 2 and 2*

    %.+onsider the follo$ing statements?

    i.'he 4uantitative characteristic that varies from unit to unit is called a variable.

    ii.A variable that assumes all the values in the range is kno$n as discrete variable. State 'rue or :alse?a.i6 Tre? ii6 5alseb.i :alse, ii 'ruec.i 'rue, ii 'rued.i :alse, ii :alse

    *.)n a bivariate data on

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    .i. Si6e of the class interval is e4ual to LLLLLLLLLLLLLLL.ii. 'ally marks are used to construct LLLLLLLLLLLLLLL.

    a.i6 Range@)'.>> log 7+? ii 6 freBency tables

    b.i angeH1R2.22 log NJ, ii fre4uency tables

    c.i angenumber of classes, ii fre4uency distribution

    d.i angenumber of classes, ii class interval

    0.)f the Standard deviation and >ean of the distribution are 2.0* and % respectively, the +oefficient of @ariation isa. 0.:;= b. .*P c. 0.0*P d. 5.1*P

    3.Steps in construction of cost of living inde( numbers involve the follo$ing in the order of?a. +onduct family budget in4uiry, select the class of people, obtain price 4uotations, define the scope of 

    the inde(, prepare a frame or list of persons.b. Define scope of the inde(, Select the class of people, prepare a frame or list of persons, conduct familybudget in4uiry, obtain price 4uotations.c. Select the class of people? define scope of the index? condct family bdge inBiry? obtain priceBotations? prepare a frame or list of personsd. /repare a frame or list of persons, obtain price 4uotations, conduct family budget in4uiry, define scopeof the inde(, select the class of people

    5.2P of the fuses manufactured by a firm are e(pected to be defective. 'he probability that a bo(containing 288 fuses contains defective fuses is

    a. $.:;'ean for follo$ing data is?

     Age ;roup 818 1828 28%8 %8*8 *88

     

    No of persons 1 2 5 3

     

    a.>/b.27c.%2d.12

    01. i. Muestions that are ans$ered only if the respondent gives a particular response to a previous 4uestionisLLLLLLLLLLL ii. Muestions $here the respondents= ans$ers are limited to a fi(ed set of responsesareLLLLLLLLLLLLLLLL 

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    a.i +losed ended 4uestions, ii +ontingency 4uestionsb.i >atri( 4uestions, ii &pen ended 4uestionsc.i 6 Contingency Bestions? ii 6 Closed ended Bestionsd.i +losed ended 4uestions, ii Q &pen ended 4uestions

    02.'he median value of the follo$ing set of values 22, 10, 15, 1%, 1, 17, 13, 28, 2% isa. 17b. ';c. 1d. 1%

    0%.i. 'he theory of "usiness forecasting based on the assumption that most of the business data have the lagand lead relationship, that is, changes in business are successive but not simultaneousisLLLLLLLLLLLLLLLLL ii.'he theory of business forecasting based on the assumption that history repeats itself and henceassumes that all economic and business events behave in a rhythmic order isLLLLLLLLLLLL 

    a.i Specific historical analogy, ii Action and reaction theoryb.i Action and reaction theory, ii Specific historical analogyc.i Gconomic rhythm theory, ii Se4uence or timelag theoryd.i 6 SeBence or time6lag theory? ii (conomic rhythm theory

    0*.)f average height of %8 men is 15 cm and average height of another group of *8 men is102cm, the average height of the combined group isa. 18.27b. '&$.>:c. 138.27d. 158.27

    0.i. )f the statistical data are classified according to the time of its occurrence, the type of classificationisLLLLLLLLLLLLLLLLL ii.+lassification based on some attributes isLLLLLLLLLLLLLL 

    a.i 6 Chronological Classification? ii 6 #alitative Classificationb.i Mualitative +lassification, ii +hronological +lassificationc.i Muantitative +lassification, ii ;eographical +lassificationd.i ;eographical +lassification, ii Q Muantitative +lassification00. >atch the follo$ing $ith respect to /arts of a 'able?

      /art A /art "

    1. Source note A. 'he headings and subheadings describing

    2. 9ead note the data present in the columns.

    %. +aptions ". )ndicates the scope and the nature of  

    *. 'itle contents in a concise form.

      +. )ndicates the source from $hich the data is

      taken and is placed at the bottom on the left

      hand corner.

      D. )t is given belo$ the title of the table to

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      indicate the units of measurement of the data

      and is enclosed in brackets.

     a.1D, 2+, %", *Ab.1+, 2", %D, *Ac.'C? >D? A? 01d.1A, 2", %+, *D

    03.:rom a random sample of %0 Ne$ Delhi civil service personnel, the mean age and the samplestandard deviation $ere found to be *8years and *. years respectively. 7P confidence interval for themean age of civil personnel in Ne$ Delhi is?a. *8 1.*3 b. *2 2.*3 c. 2 %.%3 d. .305.)n a competition, t$o -udges assigned the ranks for seven candidates. 'he Spearman=s rankcorrelation coefficient is

    +ompetitor 1 2 % * 0 3

     

    Tudge ) 0 * % 2 3 1

     

    Tudge )) 0 * 1 2 3 %

     a.$.>/b.8.c.8.%d.8.3

    07.9eights of students are normally distributed $ith mean 10 cm and standard deviation cm. 'heprobability that the height of a student is greater than 133 cm is?a. 8.8852b. 1c. 1.2d. $./

    38.i. 'he computed values of chis4uare areLLLLLLLLLL ii.'he number of degrees of freedom in a *I* contingency table isLLLLLLLLLL a.i 6 always negative ? ii6 '&b.i al$ays positive, ii 7c.i either positive or negative, ii 5d.i al$ays 6ero, ii 1

    31. ;iven

    +ommodity "ase year +urrent year  

      /rice Muantity /rice Muantity

     A % 2 25

    " 1 8 % 08

    + 2 %8 1 %8

    D 1 0 12

    iJ#aspeyre=s price inde( is given bya.11.72

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    b.'&'.:>c.131.72d.151.72iiJ#aspeyre=s 4uantity inde( number is given bya.'$'./0

    b.128.12c.78.%d.52.*

    32.'he time series given belo$ sho$s the figures of production Hin m. tonnesJ of a sugar factory. 'he bestfit for the follo$ing data is the straight line trend represented by the e4uation UE aRbI

    Uear 288* 288 2880 2883 2885 2887 2818

     

    /roduction Hin 58 78 72 5% 7* 77 72

    m. tonnesJ

    iJ'he value of a is

    a. 8b. 58c. *d. :$

    iiJ'he value of b isa. 8b. 18

    c. 1

    d. >

    3%. >atch the follo$ing?

      /art A /art "

    1. >ode A. )t divides the distribution into 188 parts of  

    2. Deciles e4ual fre4uency.

    %. >edian ". )t can be determined graphically H&givesJ

    *. /ercentile and is not affected by e(treme values.

      +. )t divides the arrayed set of variates into

      ten portions of e4ual fre4uency and they are

      sometimes used to characterise the data for 

      some specific purpose.

      D. )t represents fashion and often it is used in

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      business. 'hus, it corresponds to the values

      of variable, $hich occurs most fre4uently.

     a.'D, 2+, %", *Ab.1", 2+, %D, *Ac.1+, 2", %A, *Dd.1A, 2", %+, *D

    3*. Varl /earson=s correlation coefficient for the follo$ing data is

    I 28 10 12 5 *

    U 22 1* * 12 5

    a.r E 8.8b.r E 8.70c.r , $.&::

    d.r E 1.1

     Additional >+M

    1) ___ Help managers to reduce guess work.a) Accounting conceptsb) Budgetc) Statistical conceptsd) Experience

    2) Gathering organi!ing and presenting data is dealt with b" ___.

    a) Statisticsb) Accountanc"c) #inancial statementsd) Graphs

    $) Greek word %sigma& and %summation& are ___ o' statistics.a) (arametersb) haracteristicsc) *e+nitionsd) Life blood 

    ,) -tatistics is used in ___ +eld o' accounting.a) lassi'"ingb)  Auditingc) -ummari!ing

    d) ecording/) ___ is a back bone o' an" decision making process.a) Data collectionb) *iagramsc) Anal"sisd) 0nestment

    ) ___ is a part o' in'erential statistics.a) (resenting datab) 3rgani!ingc) Hypothesis testing

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    d) *ata collection4) ___ is most use'ul in clinical research.

    a) 0n'erential statisticsb) Descriptive statisticsc) 5one o' the aboe

    d) Either 6a) or 6b)7) 8ho de+ned statistics as %9he science o' estimates and probabilities.&:

    a) -eligmanb) Horace -ecretsc) rof! "oddingtond) roxton and owden

    ;) Eer" unit or ob

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    b) -tatistical package 'or social sericesc) -ocial package 'or sel' sericed) -ocial permit 'or social sciences

    17)___ is an ideal package 'or working with time series.a) Cinitab

    b) -(--c)  '(viesd) DC(

    1;)9est o' h"pothesis is used in the +eld o' ___.a)  Agricultureb) Carket researchc) Economicsd) ankings

    2=)ompanies use ___ method to assess leel o' customer satis'action.a) -amplingb) Surveysc) *ata collectiond) ensus

    21)9he ob

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    27)___ uestions has two possible responses like es5o 9rue#alse.a) ontingenc"b) lose endedc) Catrixd)  Dichoto$ous

    2;)(ublished or unpublished data are examples o' ___ data.a) (rimar"b)  Secondary c) eliabled) 3Icial

    $=)___ is a power'ul source o' secondar" data.a) 0nteriewsb) Dournalsc)  Internet d) 3Ice

    $1)%-tudies made b" research institutions& is an example o' ___ data.a) (rimar"b) (ublished

    c)  +npublished d) Approed

    $2)(rimar" data is more ___ than secondar" data.a) ',pensiveb) heaperc) Fnreliabled) Eas" to collect

    $$)___ is a preliminar" research conducted be'ore complete sure".a) -amplingb) ilot survey c) (rimar" datad) -econdar" data

    $,)9"pical example o' ordinal data is ___ status o' 'amilies.

    a) Conetar"b) Healthc) Socioecono$icd) Economic

    $/)An identi+able absolute !ero point is 'eatured b" ___ scale.a) -atiob) 0nteralc) Ceasuringd) *iscrete

    $)e?uisites o' good classi+cation areJa) Fnambiguous K rigidb) Heterogeneous K exiblec) ',haustive . revealing

    d) 0nclusie K ambiguous$4)Geographical chronological ?ualitatie and ?uantitatie are ___ o' classi+cation.a) Typesb) Areasc) -coped) Adantages

    $7)8hich one o' these is a method o' classi+cation:a) -impleb) ualitatiec) #ne ay classi/cation

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    d) Geographical$;)___ is the basis o' 'urther anal"sis and presentation.

    a) lassi+cationb) Tabulationc) 9wo wa" classi+cation

    d) -ampling,=)___ are heading and subLheadings o' rows.

    a) aptionsb) -ource notec) Stubsd) 9itle

    ,1)Example o' general purpose table is ___.a) Census datab) -ampling datac) (rimar" datad) *eried data

    42) 0' the data is arranged in ascendingdescending order o' magnitude it is called ___ o' 

    data.

    a) ontinuit"b) Arrangementc) (resentationd)  Arraying

    ,$)Fpper class limit o' a class M $= >ower class limit M 1= midLpoint o' the class 1=L$= is

     ___.a) 1=b) 01c) $=d) ,=

    ,,)N M 1O$.$22 log 5 is called ___ 'ormula.a) Narl (earsonPsb) (ascalPs

    c) Sturged) #isherPs

    ,/) 0' the number o' ariables is onl" two it is called ___ distribution.a) *iscreteb) "ivariatec) Cultiariated) ontinuous

    ,)___ gie isual indications o' patterns o' data.a) -ure"sb) uestionnairesc) 2raphsd) Dournals

    ,4)___ is constructed 'rom 're?uenc" distribution o' grouped data.

    a) Histogra$b) (ie chartc) (ercentage bar diagramd) Bar diagram

    ,7)0' 'urther anal"sis is needed ___ are not use'ul.a) Graphsb) Diagra$sc) (ie chartsd) -amples

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    ,;)___ *iagram does not touch the hori!ontal axis.a) Histogramb) >ine diagramc) 3re4uency polygond) #re?uenc" cure

    /=)umulatie 're?uenc" cures are called ___.a) uresb) #givesc) (ol"gond) ompound bar diagram

    /1)-tatistical ___ establish relationship between data sets.a) *atab) Graphsc) onceptsd)  Average

    /2)5ot getting aQected b" extreme alues is a re?uirement o' __.a) 2ood averageb) Bad aerage

    c) -tatistical aeraged) entral tendenc"

    /$)___ is a measure o' central tendenc".a) -tandard *eiationb) Har$onic $eanc) @arianced) (ie chart

    /,)Arithmetic mean o' 1/ 14 22 21 1; 2 and 2= is ___.a) $=b) $/c) 01d) 1=

    //)8hen numbers o' obserations are too large mean is calculated b" taking a alue which

    is called ___.a)  Assu$ed $eanb) *eiationc) #re?uenc"d) 3bserations

    /)8hen A M 2/ summation o' 'dP M L$ 5 M = iM 1= what is the alue o' mean:a) 2,b) 2/c) 05!6d) 2/.,

    /4)51 M 1== 52 M 1/= Cean R1 M 1=., Cean R12 M 1=.; @alue o' mean o' R2 M:a) 11.$$b) 12.1$

    c) 1=.//d) 77!08/7)-ummation o' R M 4=== -ummation o' 8 M 11/ -ummation o' R8 M 1,4====

    8eighted mean M:a) 709:0!;1:9b) 14472.74=c) 12272.d) 122==

    /;)Geometric mean cannot be calculated i' an" o' the alues is ___ or ___.

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    a) (ositie negatieb) Sero positiec)  

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    d) 81;!064=)@alue o' 2 */ and (/= are e?ual to ___.

    a) Ceanb) Medianc) Code

    d) 9he" hae distinct alues41)___ uses onl" extreme alues.

    a) uartile deiationb) Cean *eiationc) -anged) @ariance

    42)>argest alue M ,2 -mallest alue M oeIcient o' range M:a) $b) ,7c) 1d) 1!96

    4$)8hat is coeIcient o' ?uartile deiation i'  1 M $7./ and $ M 47:a) =.$$$

    b) 1!88=c) =.,=d) =.$=

    4,)Cean deiation is used when sample si!e is ___.a) Hugeb) Heterogeneousc) S$all d) Homogeneous

    4/)___ is also called mean s?uare error deiation.a) @arianceb) Standard deviationc) *eiationd) -um o' standard deiation

    4)9he method o' taking deiations 'rom actual mean is used onl" when mean is a ___ number.

    a) (rimeb) 5eutralc) ?holed) Exact

    44)-tandard deiation is independent o' ___ but dependent o' ___.a) -cale originb) @alues scalesc) *ata arianced) #rigin& scale

    47)___ gies undue weightage to extreme alues.a) Co$bined standard deviation

    b) ombined meanc) 8eighted meand) oeIcient o' range

    4;)-tandard deiation o' R M 2., Cean o' R M /$. alculate @x.a) /Ub) ,Uc) ,.4/Ud)  5!=:@

    7=)9he probabilit" o' an eent A must lie between ___.a) 1 to L1

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    b) L1 to =c) 1 to 7d) = to L1

    71)9he alue o' a possible eent is alwa"s ___.a) 7

    b) =c) =./=d) T1

    72)-un setting in the East is an example o' ___ eent.a) (ossibleb) I$possiblec) (robabled) E?uiLprobable

    7$)-ample space is denoted b" ___.a) %s&b) --c) Sd) -am

    7,)*rawing a card 'rom a pack o' /2 cards is a ___ experiment.a) -ando$b) *eterministicc) -ampled) (robable

    7/)An eent which has more than one outcome is called ___.a) -imple eentb) Co$pound event c) -ure eentd) ertain eent

    7) 0n tossing an unbiased coin getting head or tail is ___.a) Cutuall" exclusieb) Eent

    c) -ample spaced) '4ually li*ely 74) 0ntersection o' mutuall" exclusie eent is a ___ eent.

    a) E?uall" likel"b) Cutuall" exclusiec) ull d) E?uiprobable

    77)___ Eents can occur one at a time.a) E?uiprobableb) DisBoint c) ertaind) 0mpossible

    7;)9he union o' exhaustie eent is e?ual to ___.

    a) Sa$ple spaceb) -amplec) 0ntersection o' eentsd) Fnion o' inclusie eents

    ;=)#or eent A mM $ nM ; ( 6A) M:a) Vb) ;$c) 78d) 1

    ;1)#or two eents A and B when ( 6A) M1$ ( 6B) M:

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    a) 1$b) 1c) $d) 08

    ;2)8hen ( 6A) M $7 n 6A) M $ n6-) M:

    a) ,b) :c) 17d) 27

    ;$) 0' R is a ___ ariable then (6R) is called probabilit" densit" 'unction.a) Continuous rando$b) *iscrete randomc) andomd) *ensit"

    ;,)A random ariable assuming alues between 1 and = with probabilities p and ? is called

     ___ ariable.a) Binomialb) andom

    c) "ernoulli d) (robable

    ;/) 0n binomial distribution the probabilit" o' success is denoted b" ___ and that o' 'ailure is

    denoted b" ___.a) p nb) m nc) ? pd)  p& 4

    ;)Fnder (oisson distribution outcome should be o' ___ nature.a) Heterogeneousb) Dichoto$ousc) E?uald) Binomial

    ;4)5ormal distribution is ___ about its mean.a) As"mmetricb) E?ualc) Sy$$etricd) -kewed

    ;7)Cean median and mode are e?ual under ___ distribution.a) or$al b) Binomialc) Bernoullid) #re?uenc"

    ;;)9he mean o' standard normal distribution is ___ and standard deiation is ___.a) 1 =b) 1 1

    c) = L1d) 1& 7

    1==) (arameters o' population are denoted b" ___ letters.a) Englishb) #renchc) 2ree* d) 0talian

    1=1) ___ Errors are inherent errors which cannot be aoided.a) Sa$pling

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    b) Biasedc) Fnbiasedd) 5onL sampling

    1=2) 9he magnitude o' biased errors is ___ proportional to sample si!e.a) >inearl"

    b) 5onLlinearl"c) Directly d) 0ndirectl"

    1=$) ___ errors are due to oer or under estimation.a) -amplingb) Biasedc) +nbiased d) 5onLsampling

    1=,) -trati+ed random sampling is most appropriate i' the population distribution is highl"

     ___.a) S*eed b) Fnskewedc) Homogeneous

    d) 5arrow1=/) ___ is a t"pe o'

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    c) Biasedd) Fnbiased

    112) 9heWtP distribution was deeloped b" ___.a) Narl (earsonb) Bowle"

    c) ?! S! 2ossett d) -pearman

    11$) 9he parameter o'WtP distribution is ___.a) pb) ?c) n pd) v 

    11,) Fnder ___ correlation the eQect o' one ariable is kept constant and other two

    ariables are studied.a) -impleb) artial c) Cultipled) (ositie

    11/) @ariance 6R) M ,; @ariance 6) M ; o 6R ) M L14./ r M:a) =.7$$b) =.14/c) (1!:88d) L=.14/

    11) 5 M 4 summation *2 M 1, what is -pearmanPs rank correlation coeIcient:a) 1!96b) =.2/c) 2d) 1

    114) r 12 M =.7 r1$M =./ r2$M=., what is the alue o' r2$.1 M:a) =.4/b) =.$$

    c) 1d) =.2/

    117) 9he ___ o' regression coeIcients gies the correlation coeIcient.a) Arithmetic meanb) 2eo$etric $eanc) Harmonic meand) egression line

    11;) Business indices are also termed as ___.a) Economic ariablesb) Business 'orecastsc) "usiness baro$etersd) 0ndex numbers

    12=) #orecasting based on ___conditions ma" be erroneous.

    a) ast b) (resentc) #utured) Biased

    121) ___ Cethod is er" use'ul to 'orecast 'uture demand and production.a) 9ime seriesb) Business barometersc) ',trapolationd) orrelation

    122) 9he ___ method is scienti+c where computer technolog" is used.

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    a) Extrapolationb) egressionc) Modern econo$etricd) Economic barometers

    12$) #ollowing is an adantage o' business 'orecastingJ

    a) >argel" based on 'uture eentsb) +seful in ad$inistrationc) *oes not ealuate riskd) 5ot continuous

    12,) 9he behaior o' a time series oer periods o' time is called ___ o' time series.a) @ariationsb) #luctuationsc) hangesd) Move$ents

    12/) 9he oscillations are either a ___ cure or a ___ line.a) Coement trendb) Trend& trend c) hange moement

    d) Coement moement12) ___ Cethod is more accurate and precise and can be used 'or 'orecasting.

    a) Coing aeragesb) -emi aeragesc) Least s4uaresd) Graphic method

    124) (1 M ;/ (= M 7= (rice relatie M:a) 77:!96@b) 117Uc) 12=Ud) 17.4/U

    127) 9he alue o' base period is alwa"s taken to be ___.a) 1

    b) =.1c) 711d) 1=

    12;) -um (1= M $;/ -um (= =M 2= >aspe"rePs index number M:a) 1/1b) 1=c) 767!=0d) 1//

    1$=) ___ is the ideal index number.a) >aspe"rePsb) (aaschePsc) Bowle"Psd) 3isherEs

    1$1) -ummation (8 M $1/2./77 -ummation 8 M 2;/.$ cost o' liing index is Ja) 1=b) 71;!::c) 11=d) 1=/.;;

    STATISTICS

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    1) Statistics that is used to make valid inferences from the data for effective decision making among

    managers or professionals is

    a. Descriptive Statisticsb. Inferential Statisticsc. None of the aboved. All o' the aboe

    ) The measure describing the characteristics of the population is kno!n asa. Parameter

      b. Samplec. Statistics

    d. ensus

    ") Secondar#$e%isting data ma# include !hich of the follo!ing&

    a. 'eports and official publications of international and national organisations b. 'ecords maintained b# various government and private officesc. Internet content

    d. All of the above

    () Statistics is the science of collection* presentation* anal#sis and interpretation of numerical data

    from logical anal#sis+ is the definition given b#

    a. ,ebster b. -oddington

    c. A. -o!le#

    d. Croxton and Cowden

    /) In !hich of the follo!ing methods* the investigator contacts !itnesses or neighbours or friends or some other third parties !ho are capable of suppl#ing the necessar# information.

    a. Direct personal observation

    b. Indirect oral interview

    c. Information through agencies

    d. 0n'ormation through mailed ?uestionnaires

    0) Stubs stand fora. Numerical information

     b. The headings and subheadings of columns

    c. The headings and subheadings of rows

    d. 9he 9able heading

    ) The standard deviation is2a. The s3uare root of the variance

     b. A measure of variabilit#

    c. An appro%imate indicator of ho! numbers var# from the meand. All of the above

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    4) ,hich of the follo!ing represents the fiftieth percentile* or the middle point in a set of numbers

    arranged in order of magnitude&a. 5ode

    b. Median

    c. 5eand. @ariance

    6) The Arithmetic 5ean for the values /*17*1*4*0 isa. /

     b. 17c. 0

    d. 8.2

    17) i. 1. The totalit# of all units in a surve# is called 888888888888888. ii. A 88888888888888 is a

     part or a subset of the population.

    a. i 9 :nit* ii 9 Statistic

     b. i 9 ;ariable* ii 9 :nitc. i - Population, ii – Sample

    11) Consider the follo!ing statements2i. The 3uantitative characteristic that varies from unit to unit is called a variable.

    ii. A variable that assumes all the values in the range is kno!n as discrete variable.

    State True or

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      d. 1$

    1/) If average height of "7 men is 1/4 cm and average height of another group of (7 men is 10 cm*

    the average height of the combined group isa. 1/7.6

    b. 1=.2;  c. 14=.2;

    d. 17=.2;

    10) i. If the statistical data are classified according to the time of its occurrence* the t#pe of classification is88888888888888888

    ii. Classification based on some attributes is88888888888888a. i - )hronological )lassification, ii - *ualitative )lassification

     b. i 9 @ualitative Classification* ii 9 Chronological Classificationc. i 9 @uantitative Classification* ii 9 eographical Classification

    d. i L Geographical lassi+cation ii T uantitatie lassi+cation

    1) A measure !hich divides an arra# into four parts is kno!n asa. ercentiles

     b. Deciles

    c. *uartiles

    d. Cedian

    14) Specified average !hich solves problems involving variables e%pressed in Etime rates that var#according to time is

    a. Arithmetic 5ean b. eometric 5ean

    c. +armonic Meand. Code

    16) A ood measure of Average should be

    a. Affected b# e%treme values

    b. Rigidl( defined

    c. -ased on some values

    d. AQected b" sampling uctuations

    7) ,hich of the follo!ing graphical depictions of data represents cumulative fre3uencies&

    a. Fistogram b.

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      d. (ersonal data

    22) 0n which o' the 'ollowing situations would "ou like to use statistics:  a. Bu"ing a House

      b. Attending to relaties  c. (urchasing medicine recommended b" a doctor  d. nve!tin" #und! in !everal option!

    2$) 3ut o' the 'ollowing which one does not re'er to a mass o' data:  a. Banking -tatistics  b. $athematical Stati!tic!  c. Agricultural -tatistics  d. 0ncome -tatistics

    2,) 9he 3rigin o' statistics can be traced toa. 0ndustr"

      b. 5ation  c. Economics  d. State

    2/) -tatistics ma" be called the science o' counting is the de+nition gien b"L  a. roxten  d. 8ebster  c. Boddington  d. A.%. &owle'

    2) -tatistics can best be considered as

    a. &oth art ( !cience  b. Art  c. -cience  d. 5either art nor science

    24) *ata that possesses numerical properties are known asa. uantitative data

      b. 5umerical data  c. (rimar" data  d. (arametric data

    27) A tool o' all science in research K marketing an intelligent

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