TNPSC Combined Technical Service 2024: Combined Technical Services Examination IN Interview Posts, Statistics
Text of page 2
A distribution function F - is given by
0 if x<0
F(x): x2 14 if o<x<2
1 if x>2
Find the value of e(U Z<x<t).
gir u rya.reb ennq F - Glon@6e uur@dr6rgr
0 craflo r<0
F(x): *2 14 *d,at 0<x<2
1 craflcit x>2
f(UZ<x<t) - dn ogluq
(A)
1
4
(B)!
16
J6 16
I
(D) -1
12
(E) Answer not known
er9l en L- 6lp rfl u o9l cilorr o
4 If xhas a uniform distribution in [o,r] then the distribution of
-2logr is
X creinugt [O,t] ar<inp SaruGleuoflaou.r L6)Lu g1q Srlnor u rJo.reb aaflcir
-2logx -etn u Toronorgl
(A) Uniform distribution ,pf et@&qg
Exponential distribution
SrJnor u rlau ei.l r yorcir
(C) Normaldistribution (D) Gamma distribution
@ucbflooo u rTor eit onon u qeu ei-l
(E) Answer not known
o: r 6lp u
er91 ebcno rfl o$l
Statistics 4
Text of page 4
7 If X and Y are random variables with means X and 7 then the
expression nl(x - X)(y - y-)] is calted as
X -. opgr Lir Y _eoornrr.luq on$lseh, e1dEdldn erJnerfl X , Y craflelr
nl(x-X)(r-F) .a,"sr
(A) Variance ofX @) Variance of Y
X ein ongun@ Y ein ongun@
afti Covariance
(X,Y)
of (X, Y) (D) Moments of Xand Y
<x @orour Longun@ (X,Y) a e$ori;s Glulg6g Gpnore
(E) Answer not known
a9lor r- 6prfluo9ldroro
8 If P(81)-0.6 , P(E t E)-0.4 and p(E)_9.s2, ther- p(ertn)_
P(E1 )-0.6, e(n t nr)-0.+ oggrn p(E)=0.b2 eroficir, p(q I E)_
7 t)
(A)
13 ''rd) 13
10 o
(c)
13
(D)1
'13
(E) Answer not known
o5lsn r 6p u
lfl e,9l ei-rorar
Statistics 6
Text of page 7
14. Let X be a random variable with the following probability distribution
X: -B 6 9
P(X=*): u6 Lt2 7tB
The value of E(X) is
X c,dng eLDolnuruq onSlu9lcin $lerlpeal u f6rd)
X: -3 6 9
P(X=x): tt6 u2 Lt3
6r@AiD E(X) dn o$uq
(A) 2trr (B) 2/e3
,./<c> tlt2 (D) e3t2
(E) Answer not known
o9lor r Clgrfluo$ooro
15. The expected value of X where X represent the outcome
when a die is thrown
S)(D u56Dr- r1gr@Lb Gi-:ng Clen L-ri15 Lb o9lororq X oeflO X-dr 6r$lnunfiB(gti:
o6lur-.t
(A) 1.5 (B) 2.5
,6 3.5 (D) 4.5
(E) Answer not known
er9l eo r Clprfl u.l ofl cilano
9 Statistics
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16. In a random variable X , if E(X)-2 and E(Xz)=g then its variance is
e(D +oa:nuruq Longl X-ar, E(X)-2 Lopgrb E(X21-g craflo spd,r
onglunrloranol
(A) 2 (B) 6
(c) 8 .waf,l +
(E) Answer not known
o61enr Glprfl u o6leb an eu
17. Find the expectation of the sum of the number obtained on throwing two
dice
6qD ueorrsoh cr9+tb 6unqggr, uoaor-u9leb GpndngLb crainoofkin a..@paSl<in
crp riunriu q e nain
,,/el 7 (B) 6
(c) t2 @) 24
(E) Answer not known
er9leo r- Glp rf1 u er91eb an eu
18. fi X and Y are two random variables with means X and I
respectively, then the expression e[(X -X)(y-y-)] is cailed
x,Y 6rdnD gO eroornuruq on$lsgri;e nor erync/fl X io,Egri: Y erofleir
EKX -x)(r-r) creirusr
(A) V(X) (B) y(y)
V(X) V(Y)
J4 Cou(X,Y)
Cou(X,Y)
@) Moments of X and Y
X ropgLb Y-<in o$lo*ou Gluqgri;eLb
(E) Answer not known
e$lor r Glprfl uer9ebeoer.r
Statistics l0
Text of page 9
19. Two random variables are said to be independent if E(XY) is
Sig eoelrnu.luq Lon$leeh enriuSpanorecrne S19ur5lein E(XY) Aagt
(A) 1 (B) o
1 0
Gy' E(x) E(Y) (D) a constant
E(X\ E(Y) eO tondldl
(E) Answer not known
a91 ar u Glp /fl ur efl ooro
20. The expectation of the number on a die when thrown
e(D u6orl6oru rlgL-@ Lb Gung erpein GLoeb reiror craincofletn crprtunri$pcU o$luq
(A) 7t6 (B) 2t6
(C) 2t7 v.(D) 712
(E) Answer not known
or91 an r Gp lfl u o9l ctuorar
2L. What do MS Excel formulas start with?
MS Excel eb a.rnruuun@ oaror ng Glpnrnrgdlgrg r
(A) f (B) f"
n6t (D) -
(E) Answer not known
er9lor r Glp lfl u.l o,9 cireoar
11 Statistics
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25. Getting data from a cell located in a different sheet is called
MS Excel cD Gorpg pnoireoflgeiror etanpooflein Flerloenor Glugorgt erorar ngt
er16luruuG)dlrnar.
7
/<N Referencing (B) Accessing
(C) Updating (D) Functioning
(E) Answer not known
or5la"rr Gprfl u.,l er9le[oro
26. In MS Excel A5 : A9 indicates
MS ExcelA5: A9 6r6inugt 6r6,p{ir g$lti;dldnpgra
(A) Cells A5 and A9 only
A5 LoggLb A9 erorpseir Lor@tb
,,/<B) Cells Ab through A9
elanpseir A5 clrSgpg1 Ag o:orry
(C) Cell A5 only
A5 erarrgr Lorg)b
(D) Cell A9 only
A9 ereop Lor0Lb
(E) Answer not known
ofl co r Gp u eiror o
rfl a91
13 Statistics
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29. The appropriate use of SUMIF function in Excel is
Excel-cir SUMIF enflgl6in r61au Glungp;pLonor uureinun@
(A) Adds all numbers in range
gqg eu ryOr5lcil zeiren etoror$gt 6rdn6or6rul Lb a.'r@6lprgt
(B) Adds all numbers in a range and divides by the count of numbers
gqg orry6Glcn L6ir6n 6rairic6D6n er'rrq, oei.nomflt6Deur rral euq5r;Clglgr
(c) Multiply all the numbers in a range
gig eury6r9cil L6ir6n 6r6bon 6rain66)6nu-l Lb Glu giigdlplgt
/") Adds the cells specified by a given condition
61sn@Beuur-r- puppanord;g 6u n6$$1u Glecus6,6r ou@Lb *'r@61919
(E) Answer not known
an r- Glprfl u: er9l ooro
er91
30. To visualize the density of a data set, and check whether it is a Normal
distribution, commonly used Excel function
gg prl6.lg Glpngu r9kin et rrt$p co u.r cuorrJur--on6o, GLogLb .etgl Suril$leno u[6uoln
oeing sainr-$lu uudnu@ri Excel-etn enriq
(A) NORM. DEST (B) NORM.S.DEST
(c) N0RM.INV -,,ffnIstocRAM
(E) Answer not known
a9l o: r- Glplfl u o61 c;boreu
31. A function returns a vertical array of the most frequently occurring
values in a set of data in Excel
Excel-<in p rJ 6llo6rfl 6n g+.i;5+ $lsqgLb opuqeoflein Gl+ra qgpgt au ltleoeoru.r orprrgLb
errq
(A) MODE (B) MODE.MULT
(c) MEDIAN (D) SUM
(E) Answer not known
c0anr Clp lflu.l er9loeneu
15 Statistics
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32. In Excel, the formula = IFERROR (A1/B1, "Error") gives the result as
ExceI -d, Op6,lll, " IFERROR (A1/B1, "Error") Gton@d;6Lb grrgaq
Divides A,1 by 81 and returns "Error" if there is an error
.{1 g 81 euo5gr rgarp c1EuLLneil "Error" 61orr-ri;qgLb
(B) Checks if 81 divided by A'1 equals "Error"
81 g A1 grolb 6u q5$gl "Error" oeing eLoein 6eur61grg1
(C) Returns an error if A1 or 81 is blank
A1 et<irogr 81 cnerSlunc @tDppr.ir "Error" 6lorr615Lb
(D) Multiplies A1 by 81 and returns "Error" if there is an error
A1 g 81 qcb Glu6Bdl, rglorp oguurncb "Error" 6lorL-61gLb
(E) Answer not known
e61 eo r Glprf) u e$ eborar
33. Statements that are true about COUNTIF function in Excel
Excel -cir COUNTIF enrioru 6$lgp SBeelnr_ a.,pgsoflcil crg eiflunorgtz
..r(ol To count the number of cells that meet a criterion
pu$porarsoren grt$$l Gl+urqLb elorp5or6n aamr&6@ Gernur
(B) To sum the numbers in a range
96 or rlLbr-9lCu lehen aainoafldn or,@peb e neinugl
(c) Both (A) and (B) are true
(A) ,pg,b (B) $riear@Ll +rflunorgl
(D) Both (A) and (B) are not true
(A) ,pgrrb (B) @[6d,r@r:l p6upn@rgt
(E) Answer not known
a9lor u 6pifl u: o9l eiroro
Statistics 16
Text of page 15
34. How many views are available in SPSS data editor?
SP$S pqolscir e rroroBlgLb u6$u9leb cr$poa flrfleqerir L6h5rr6r ?
v(g 2 (B) 3
(c) 4 (D) 1
(E) Answer not known
er9leo r- Glp lilu..r or9lcbar o
35. In the data view in the SPSS data editor, each column represents
SPSS prarl SlCqpdmoi, F[a] ercoiour-9lcir, geirGlaunlg prrguLb crporor 6Sl;61pgrr
(A) A case (B) A data point
g!(D 6r.r@56Dur gTcI r-leheiflaou.l
(C) A missing value ) Avariable
earm Glsnorcu ris Lodluoru 96 onlfiloru.r
(E) Answer not known
er9l on r Glprfl u,.r o61 aroro
36. How many variable types are available in SPSS Data Editor?
6rppan6r eslpLonar onfledr SPSS prq 6O56u!fo L6iTdror?
(A) z ,-<6> t
(c) 4 (D) 1
(E) Answer not known
a9l or u Glprfl u-r o6 cilorar
37. TRUNC (6.8) is equal to
C (6.8) =
t) (B) 8
(c) 5 (D) 5.e
(E) Answer not known
o$anu Glplfluorflocoo
t7 Statistics
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Text of page 16
^
38. In SPSS, Add variables command in the menu as follows
SP-SS d, on$lorur @oron6e uuLetnu@$puu@Lb orreoor r5leinotqgLong
,/
v(A) Data --> Merge files -+ Add variables
(B) Data --> Merge fiIes + Add cases
(C) Analyze -+ Merge files -+ Add variables
(D) Transform -i Merge files -+ Add cases
(E) Answer not known
a9lor L- Glp rflur ofleiloro
39. How much R2 has been explained by a correlation of 0.9 in SPSS?
S^PSP. Glpngur-9kil gL@p6q{fi Gl"@ 0.9 craflcb 6t4po-)6r epagpLb R2
6rlt6J m{56uu O',t&lp)5t ?
(A) L8% (B) e%
v(c) 87% (D) 10%
(E) Answer not known
er5l or r- 6p rfl uraSl cboro
40. In which sub-dialog box can the Random Sampling be found?
Lo n$l rfl oaren Gp rt$6lp@*qgLir anriq o$p 4,1..- o,*rr9 an E1p e_etrengr r
(A) Weight cases : Random sample
(B) Analyze : Random sample
(C) Data: Random sample
JtOl Select cases : Random sample
(E) Answer not known
a9orL- 6prfluaglcboro
Statistics t8
Text of page 17
4t. If U is sufficient and complete for 0 and that V -r(u) is an unbiased
estimator of parameter )"(0), then V is a uniformly minimum variance
unbiased estimator of ),(0) . This statement is also know as:
U gg Gungonor oSgLb GD(r6nr.Durn6r d gd'T to$}ILS@, V-r(u) ereinugt, )"(0)
cretngtrb +r@q4ul9oin r5lppedlur$p Lo$luL9@ etuGlunqgg V 919 Sln6r r5lpp&Clrilpp
r-8+6l g Lo ng u n6r Lo$t u S@. @ea'pgr I gprl;oalnr-o ng et or p6o u u @ Clpgl
Lehmann - Scheffe Theorem
Gorroetn GlogJ.u Ganrun@
(B) Basu's Theorem
u nea9leiir Ge nL-un@
(c) Rao - Blackwell Theorem
rJnei'r 6lornti;Gloo Gsnr-un@
(D) Fisher - Neyman Theorem
r9o1rt Glpur totiir Ge nr-un@
(E) Answer not known
ergl or u Glprfl u-r o0 ooro
42. Regularity conditions of Cramer-Rao inequality are not related to
drynon-rynetu eLoafl6Slugl6irr eqgrag GDorpunor $lu$pororocir @p<in Glpnunqanr_urgi
.9t6l)a)
JA) Integrability of functions
+nrtqoofl etn Gpnora u9@eeir
(B) Differentiabilityoffunctions
enriqe ofleiir orore u9@seh
(C) Continuousfunctions
6pnrriri E ur nor enriqscir
(D) Discontinuous functions
GlpnL_ri edl u..:PP unrtqecir
(E) Answer not known
er9l on u Glplfl u o0 aroro
19 Statistics
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45. Estimate the number of pairs that can be reasonably expected to be
spoiled at 95o/o level of confidence from a sample of 500 pairs and a lot
producing 50,000 pairs with 2o/o fowd to be defective
50,000 s6D(g e EuS$) Gleurqrn $lgarorppO 5oo &r-gt _cr@d;gLb GL:ng zx
ulggrorupndlpg craflelr gsx uqgpnou$lSenor $orarr Lopur9@ oGpgtb 9<tr9*
sour66L-uu@dlpgt
(B) 384 and 1612
v(s 386 and 1614
386 LopgLl1614 384 LopELl1612
(c) 382 and 1600 (D) 380 and 1614
382 Lopgo1600 380 opgb1614
(E) Answer not known
o9lao r 6prflu-leflooro
46. 95% Confidence limit for the population mean lis
goqgar LogGpnlg$ u9 <in erTnelfl p- 6 6 tt @ 9 5% p Lb r9l Barro @ or rGl o.r ofl
(A) i 12.58 o r + 1.96 o
T" 'r6t T"
(c) ilt.s|fio (D) r t 0.645 J;
o
(E) Answer not known
or9len r- G1p rflu.l e$ cbeo eu
21- Statistics
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Text of page 25
58. An estimator is always a statistic which is
gg Lo$lu Suueirora.r cruGlunqg5b &.g u eforu ereoo-tu.r na $g;bpncil elg]
(A) A random variable
g1g eoarnu-ruq Lonlfl
(B) A function
/- @(g entq
..r(Cl Both a random variable and a function
eLoo:nuruq Lon$l ogg t-b onrtq @ yai.n@Lb
(D) Unbiased
r9lmLbd u rirm
(E) Answer not known
er5lor r- 6lprfl u"ro0 eiranar
59. Bias of an estimator can be
o$ u L9ruorano.r u9ldn Glppr+61 adnugr
(A) positive (B) negative
Gplflorr-unorgr cr$lfleoL_unorgt
Jrl either positive or negative
Gplfleo r- erci:arg o$llfleor-
(D) always zero
oLr6lunqggLb St1dl.,b
(E) Answer not known
o9lor r Clprfl uo,91 euoro
27 Statistics
[Turn over
Text of page 26
60. A statistic 7is called minimum variance unbiased estimator of y@) lf
T @dnp u ainu cnaoo.r ur nargt y@) rin Lglpp*Aupp (g6,p,bp urTarlurg
LogB u 19 rr-enar or cror +lorp$suurtncit elp6D6r cI6)pti66)ntb.
(A) If ?is unbiased and sufficient for y(0)
? unor5t, y(0) -r;* 61p$r+8upp topgLb Gung1Lonor o$urgruenenor q156
(B) 7 is unbiased and has the smallest variance among the class of
v /rtall unbiased estimators of y(0)
T wnargt, y(0)-an rglprBridlu:gp LopgrLb r_glp 61pg*Cl,ulip Lo;Bu6L_r_enoror
uTaupurqoru or9 r 6orp,;bp uyotpurq e_eirengt
(C) If ?is sufficient and consistent fot y(0)
7 unargr, y(0) -rX Gungionor oggLb Gun1g$gonor o$lu6r_uenoro:seh
(D) If ? is sufficient and has the smallest variance among the class of
all unbiased estimators of y(0)
7 u:norgr, y(0)-rin Gunglonor opgrn rglp GlppdFslurpp o$ulgrrcrorar
u qo.rp u qor u.r o9lu q56Dp$p uqar$u+ e_eirengr
(E) Answer not known
e6 or r- Glplfl ue61 cirano
61. rn a_22 -factorial experiment in R-B-D, with 'r' replicates, the degree of
freedom for interaction effect A x B is given by
'y' og e-gornrisgoehen 22 eLoarn'ruqri; sr-@$$lL-r- unqarflt Genporor 4qeoourgcir
Ax B tLein osloraraglar errqeirorLo alg Sciror npne orgntue uu@61<inpg
(A) r-r r'@) r
(C) r+L (D)r
(E) Answer not known
or9lor u 6p rfl u orgl <irorar
Statistics 28
Text of page 27
62. In a 23-factorial experiment in R-B-D, with 'r'replicates, the degtees of
freedom for the second order interaction A B C is
'y' Logl e-15a-rntagrciren 23 eoor nur u qr;; or--@$prr snrlanfl& Genporar erorLourglcb,
A B C @ rlannrnrl 6u6).8 lt-str eflorcra9ltin arradroro &rgl $oilol nprns
a.rpraouu@6ldnpgt
(A) 7r-r (B)8r-1
'r/
(C) r- 1 v@) |
(E) Answer not known
or91 or r Glp rfl u.l er9l ooro
63. In factorial experiments, Degrees of freedom for the interaction is
of the degrees of freedom of the factors involved in the
interaction.
enrlarflt Genpororugk, e-udr 6l5l6)6.r65lein oL-rqdnorLo$pdnorLo, onqeoflu9ein zr-dn
6
egororal 5L+6ttr6oLD$p6itrorou9ein'
the product (B) the sum
6l u196oeungr-b &!LL6l)n(5d)
(c) double the product (D) double the sum
Gl u qgri;oaSl cin S 6o i-nrsnlglb a.lue6lein @15Lo rnrangLb
(E) Answer not known
or9anu Glprfluel9loano
64. Two types of effects measured in a factorial experiment are
onrlarfl G+npororu9lefu Sl rlarn@ 6u6D6tu lr6n cr9looorolaoir
,t ,(L) main and interaction effects (B) simple and complex effects
gori;d ul Lopgrn uqauury oflarenorlofi ooflu r-o!g Lb 6l&oonor a9laooroqeeir
(C) main and complex effects (D) simple and interaction effocts
glr;6lu: Lolg Lb Ed;sonor oglororqocir crofl u Lopg tb urJoiuuy ar9lanorqsdr
(E) Answer not known
a9l an r 6lp rf1 u.l eri oano
29 Statistics
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Text of page 28
65. In a 22 -factorial experiment, in R-B-D, with 'r' replicates, the d.egree of
freedom for main effect A is given by
'r'.ogl zlgeu n.i;6G! 6iT6rr, 22 e.oarnuruqri sr@$$rr enTodri Genpa"rar gl ar u 6lci-r,
r-o
g:peinoro aflororeq A $an o urqanan Lo$peina"r o $ora.rnpns euprare uu@61<inpg.
(A) r- 1 (B) ,
v^c) 1 (D) 2
(E) Answer not known
ei9loru Gprflue$eboro
66. In a RBD with one missing observation, having 6 blocks and
4 treatments, the degtees offreedom for total sum ofsquares is
gg a9@uuL-L- eainrpfil o$1uq 6e nainr +oarnu.luq* sl@66lir Geneoror
41cnLour9le , o Glpnq5$laeir LoDgb 4 Genpooor Lopuqeeir zeir"oldu nqg5l 6 -ro npp
or n6s nfu sdfl in oa@perSle*r ourq6iran to arg oeinor I
(A) 24 6> ,,
(c) 23 (D) 21
(E) Answer not known
er9lanr G1p rflu..: oQ eUano
67. The method of estimating the missing observations in missing plot
design, by the values which minimise the residual sum of .qr"r"", *",
given by
o6l@ur. r 3npp gorpuglcb, ergl@urr opuqeoror, o$luSr@ (p6Dp56nn6r, 6rle
6u nr;5rtus6rfl6in a'@geUeoror 6lgorou@$grLn
Gtorp5nUJ eu lqgpar rt utirtt'
(A) C.R. Rao (B) Karl-Pearson
C.R. rn6ir snir< - L9 ui rie6in
,l@l Fisher (D) Montgomery
.'.r9logri o neinlGsnofl
(E) Answer not known
er9orr Glp rf)ul o9lci;oro
Statistics 30
Text of page 29
68. SRSWOR would be superior to systematic sampling if the value of intra-
class correlation is
L6h15(g gL-@gler9ein ngtluq creirouor6q gO,EprGu oaflu: SrTppr a.Glgr@$peil Goong)
gqgrrsartogg a.6lp@gpeu GD@p6Dur efL Clppppno 6OsO,b.
(A) p 1
nh-l -6 P>-
1
@k_t)
(c)
' nk-l
1
(D) p* 6h
(E) Answer not known
a9laor 6prfluer9loooo
69. In proportional allocation, the s ampling fraction for each stratum is
u6l6lp ggri;Ergeb gelGta:ng u@cos {i15tb e.gt_ L9letnarS$et o$uq
(A) Zero r,(6) Constant
Ugdr,lr $lorou-rnargt
(c) One (D) N,
edngi N,
(E) Answer not known
o61 or r 6p u rfl a9l eilano
70. Under usual notations, In SRS, the probability that a specified unit is
included in the sample, is equal to
G1unglounor qgdlus s6lfl dnu rq, ooflu so6unuruq grorgru9l<I gg 6S)urflL-r eiorg
@
eO e,.dl dD @ LoG u g orppd;snen $le gppeofl ein Lop u q
1 n
(A) ,^{
N N
(c) In (D)1
..NC^
(E) Answer not known
er9 o r Glprfl u o61 errarrar
31 Statistics
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Text of page 31
73. The loss of information due to missing data is smaller in
66lO ur-r- o,9urJrfuoorne poeuo $lpuq oorgreu n5 L6h6n E6l r-r- elaoLouq
Completely Randomized design
(gD(g@rDur n6 c;Gp;&oreunrisuuu g6l rr-rj>
(B) Factorial design
e nqamflsarror enn$p $luu gt6Dr-ouq
(c) Latin square design
al$Sdn &glrJ $lr-r- elonouq
(D) Randomized block design
srD 6urulUq or@$lL-r-- Genporar etolmUr-..1
(E) Answer not known
o$ en r Clprfl u er9l araoo
74. Local control is used to reduce the
$laBor9lrd; er@un@ g 6oopri;o uu<inu@6lgrg
(A) Sampling error -,r1d; O*p""imental error
sflrnt l9lanro Gleri.lglorgl Oorp
(C) Experimental unit @) Block size
Geurgoenp eteulg 619 nqg$1u9 ein erenal
(E) Answer not known
e6leo r- C)p rfl u o6lel an er;
75. Sensitivity of statistical methods for drawing inference depends on
e-O$gerrrioupgsnar q tirofl u9lu: o gorglooflr*r L@rfi61 $lp.iu
enft$5tetror5t.
(A) Local control (B) Randomization
ps;per9lrr; or@uun@ qGp&aneu ririierir
c) Replications (D) Sample size
Log llgor n6e cit Lonp rf1 e1eno1
(E) Answer not known
e6lco r C)prflue$cuano
Statistics
[Turn over
Text of page 32
76. In ANOVA the treatment effects are
onEurrr+Esncn u 1gu u nri-reskil rANoVAl Genporor glarpuglo eslanenqsornorgr
.rkN Additive
a.rrrel
(B) Subtractive
Gpppd)
(C) Multiplicative (D) Additive and Multiplicative
6uqg6edr *,rreb opgLb sslgpeir
(E) Answer not known
er9l or r- 6p lfl u.l a9l etuoro
77. In a two-way ANOVA, degrees of freedom of TSS, SSR and SSC are
90, 35 and 25 respectively, then SSE degrees offreedom will be
OtO-d Longunr@ uguunu.rargle , TSS, SSR Lo.Dgb SSC gdluarsftdn
6rallur0p unorssoh 90, 35, 25 c,rafla SSE-<t'r or eo rJu.rlip u unaoa
(A) 50 (B) 40
/<cl Bo (D) 20
(E) Answer not known
a9l or L- 6p rfl u efl orano
78. National Statistics Day is celebrated on
Gpdlu qeirafl u9ucil $orLb ereing Glonainrnr-u u @6lglgt.
(A) June 1 VG) June 29
gOdl 1 SOdr 29
(C) June 4 (D) Juty 29
#d,4 gOaro 29
(E) Answer not known
o9l or u 6p lfl u: er9l cloro
Statistics 34
Text of page 34
82. The concept of stable population was given by:
o gr$lu: nar Lorheeir Glpnara oringl sq$orp e-qgeu n66lu a: fi:
(A) Fisher u$ Xl.ro*^
.'.6lagri A.J. Gonuon
(C) Bartlett (D) Kine
unrtrGlou Clrlr
(E) Answer not known
e6lor r- Glprfl uro{kiloror
83. Measures the decrease in a population due to deaths is
$puqeeir srrq6lTLor5 o6seir Gpnore (56npd6Dp g{ 6nergl@6ugl
(A) Speci{ic death rate (B) Standardized death rate
qg$l u r9l-r- $tpu q orSpLl p[uuOppuuLr- @puq esprn
(C) Case fatality rate
orpt6 $gruq er9plb
6, Crude death rate
Clsuu@flrn $tpuq 6SpLb
(E) Answer not known
or r 6)p u
or9l cuorarrfl o91
84 The risk of dying from causes associated with child birth is measured by
6ppanp 6lgruqletn Glpnuriqorru onrTourfioorneU 6rpuOb $tpuqseoor er orergl@ orgl
(A) Neo-natal Mortality rate (B) Infant Mortality rate
6lppp t5g,o-p Spuq a9p6 (gp66r,ps6tr @pruq orgpLb
tl0t Maternal Mortality rate (D) Proportional Mortality rate
pnur $lpuq o$pLb e61d1pnenry @gluq ergpLb
(E) Answer not known
a9l or r- Gprfl uo6l ci:anot
Statistics 36
Text of page 35
85. If a country has 2,00,000 Death and 1,50,000 birth in a year then Pearl's
vital index is
@(D Bnln6ngr 2,00,000 $pruqri;eororqb, 1,50,000 Opuq6oorenqLb Glsnai'nL-nr ,
r-9lu: ricireiu 15$lu9@ aalm
\,(A) 75 (B) 125
(c) 150 (D) 2oo
(E) Answer not known
r 6lp
ei9 eur <tuororfl u-refil
86. The population P, calculating at any time is given by
mri;eeir Gpnaneolui 6rpp Gprlp$lglO smrri;Cl@ eupSo nor P, creinugl
(A) P, - P,+(B-D)+(E - I) r-<61 n = P,+(B-D)+(I -E)
(C) P,=P"+(D-B)+(I -E) (D) P, = P"+(D-B)+(E-I)
(E) Answer not known
ofl or u 61p fl u.r o6l o orar
87. The capacity of women to bear children is known as
gpgorpseir Gug Lb 6l uainooflein $lgrein o<ingr uuu@orgt
(A) Fertility Fecundity
aren6 5(g6).tgpd)
(C) Mortality (D) Morbidary
Spuq$laro Gpnuflpcil
(E) Answer not known
a9leo r 61p fl u er9leb eo ert
Statistics
[Turn over
Text of page 36
88. Which of the following statement is true about the trend in Infant
Mortality rate?
dBeelnr a.pgeoflo Ogp6r,p $puq o$l6p6 6S1$p erflu:narg) 6tgJl
(A) ere is a steady decline in the IMR due to environmental and
medical conditions
giD6lo,o LD,Dgrb rDopgtor lgrcinGarpp3ipnetu (gpp6,p 6l.o"q e61619rn
15orpdlpgi
(B) fMR has remained constant
15pp5Dp @puq 6r9ldlpLb tonpnuoeb 6tf*6lpgj
(c) IMR has increasing worldwide
(gpp6r,p $puq 6r9l6lpb rarelb e1$letflpgl O666lpg
(D) IMR varies randomly
q5gp6r,p @puq 6fil6lprn e6ounruur9d; Lon$l ar66lpgr
(E) Answer not known
o9lorr Glprfluo9ldloro
89. In a town the total number of deaths are 8640 while the total population
of that town is 1,22,000; then the crude death rate is
eO p6[pdl, rehor Glongp Lo&su6lpnors 1,,22,000-60 $lpppo::rtsofleiir oainarflBans
3640 oofla-l 6euuaflr-np $puq 6$6lpr:l ..t
(A) 27.4 /t > ,r.,
(c) 31.4 (D) 21.24
(E) Answer not known
a9orr- Glprflu ar9 clarcu
Statistics 38
Text of page 38
93. An assumption that is false with respect to stable population
$lororu: nar orhofi G)pnore u9lcir porpnor elg[ rDn6rd)
(A) Birth rates are independent of time
r-Slpruq erSpr-b Gprrpoop enlnpgt
(B) Death rates are independent of time
@puq er9gLb GpV$ary snlnpgl
(C) Population is closed to migration
ori;aair Glpnore u9lei-r @ ru61u u.t rtergleboro
The analysis is done with respect to male population
+ain Lo.i56tr C)gnanoor u.r u Gl u npggr ulgu u nur q 6+ur u u u @6lpg1
(E) Answer not known
er9lorr- Glp rfl u: e6leboro
94. Crude Birth Rate usually lies between and
per thousand.
Gl+u uafl L-n r9lpu q o8pLb Gl u nglol ns qm rpSlpO (gpd)
d6D[ g(D6(5r.D.
(A) (0, 1) (B) (0, 500)
(10, 55) (D) (0, 100)
',4")
(E) Answer not known
e0or L- Glprfl uei9leborar
Statistics 40
Text of page 39
95. If l, is the number of persons living at any specified age r, then what is
the probability that a person aged r will survive till his next birthday?
I, ercirugt r eru$)o ornqgLb 1q$)ur9rr punaoflotn crotrorfld;ors, r9ldn r ar ugteorur
piurt etor lfletn =et@pp Lqlppp,Dn6fl6b Lugl(Dl6itr Slguunn 6rdtruSl6itr poBpoq cr<inar a
(A)
t,
l*+t
,4; l, l, +t
(c) l, - l**t
@)
t'r*
l*
(E) Answer not known
o,9lorr Glprfl u-ro61 oaro
96. nP, column of a life table refers to
er.rnBpcoo sturaranarru5lgt<iror nP, prrcb cronp 6S[;6lpg r
(A) Probability of death
6lmur9letn filsrj>ssa:
vd, Survival function
e-u9lrieu nB ennq
(c) Number of people living between ages t and r + 1
, (gpd r * 1 cu u.rgttilg $oruu9lo at nlgrLb mrieofl<in crainarfl&ans
(D) Expectation of life at birth
6lpuq gqetr er$)rtunriuq
(E) Answer not known
efl or r Glprfl u a9l oaoar
4l Statistics
[Turn over
Text of page 40
97. Choose the wrong expression
po..rpn6r Ganerrar cn u.-r GpnoqGleur :
r'
(A) e!= t, (B) l,*, - l, p,
T"
(c) T, - L, +Tr*, (D) nP" -(n+l)p, -(n+7)q,
(E) Answer not known
cr9lan r Clprfl o9kil aoo
ur
98. The life table gives the life history ofa cohort as it is gradually
gqeh slruoan@rtunorgi, AO Oqgror9ldn gqoir or ryonporgl p6dl<ingrgt. crGloroflel
elgJ
(A) diminished by deaths (B) increased by deaths
Lo[@r$pnri; goopdldnpg LD [ffir$p n6b er$1 s /ile61 arpgl
(C) diminished by births (D) increased by births
r9puuncb gcopdleinpgr r9pu u ncb erpsrfl r;dleinpgl
(E) Answer not known
c6lorL- Glprflu er51eil an ar
99. Crude Birth rate is
$ulc unar r5lpuq c$pLb oeinugt
Bt
(A) (B) B'xP'
Pt
rt) P\,x Pt
(D)
P
Bt
K
(E) Answer not known
a9 or r Glp u
lfl a9l eDorar
Statistics 42
Text of page 42
103. If X is uniformly distributed with mean l and variance 1. then the
3
probability density function is
x ercirp on$lu9dn erTnelfl 1 opg.b onguno *-* G)snainL- g1g +o&6ri urJorcir
f
craflei: elpdn 61"$p"q e1r_rt3!,$) enrtq
(A) : (B) g
24
t{" ) I4
1
(c)
5
(E) Answer not known
o9 or L- 61p lfl u e,91 cilono
104' 11log"x-N(pr,o?) and log" y- N(/-tz,oly tnevariable (log.r-log"y)
is distributed as
Iog" x - N (pr, o?) Lopgr-b lo g" y - N (/tz, o|1 *^na (log" x
- log, y) ogLir
6
Lon16l u [elro,ln(96.
(A) N (/A - pz, ol - ol) N(h-pz,o!+ol1
(c) N (pr, ob- N (pr, o'r) (D) N(pr, o!'1 + tt 1pr, o2r1
(E) Answer not known
or9or r Glp rflu.l efleborar
Statistics 44
Text of page 44
108. If X-N(0,1) and Y - fi,, then the p.d.f. of $ i.
^!Yl'
X-N(0,i) r,pgta Y - Xl^1 X
oofleir, --; ein u ryatrit
lt,n,
(A) Student's t-distribution .,2(B) Fisher's t-distribution
eiu@r-tinr-eiu't' - u ryateit J"6logri 't'-urloren
(C) Normaldistribution (D) Chi-square distribution
$ ucb$lano u qor<ir oroou ri6su u rJeuol
(E) Answer not known
oflan r Glp u ei:oro
lfl cr9
109. Moment generating function of t-distribution is
t-uryore$lein 6Cf"qp 6,p-*r r19orn&qg6 onriq
(A)
n-2 (B)
(n -2)(n - a)
n 3nz
n-2 (n -2)(n - a)
n 3n2
(c) n-4
ru-2 6, does not exist
n-4
porr-glaop u9leU @Oarro
n-2
(E) Answer not known
o9lor r- Glprfl uor9l<fuano
Statistics 46
Text of page 45
110. 111-1 (n) then 12 follows distribution.
t - t61 uTa.t,io oaflo 12 creinugt u rJetral +(5ti.
(A) Fr,,.-t3 (B) Fn,t - t?
(c) t 2 -Fr n (D) , 2 - F6,n)
(E) Answer not known
a91 or r Glpfl u: 491 clanar
111. A die is thrown 400 times and number of defectives were found to be 20.
The standard error ofpopulation proportion is
g1g uoenruganor 400 grorgr 119r@6 Gunqgg q$oi, 2q qSanglu-n@sq zeir^orpns
er!)u.lrr..gl. $arpri; -Glenain@-(g(r6r,Lop 6pnq5$lu9etr puru r-9lorpu9lein a9ldlpLb
erdls.
(A) 0.40 6t o.rn
(c) 0.54 (D) 0.45
(E) Answer not known
o6lor r- Glgrfluo$oarro
112. 1r" moment generating function of 72-distribution is
errs-al ri&s u ryorcrSlein $l6uq$pplarar r15aln&q56 enrtq
-:!f
,16 (t-2t), (B) (1+ 2t) 'z
L
(c) (7-2t)' (D) (1+ 2,)'
(E) Answer not known
er9l en r Glprfl u efl cloro
47 Statistics
[Turn over
Text of page 47
115. 11 the binomial distributio, fto)f3)'f9)"*, x =0,1,2 10 then its
(r/\5/ \5/
mean ls
r.r.199 u q uqoro
f;Xil' (;l' .',
x = 0, t,2,'... 10 crano erptin erne/fl
4 (B) 6
(c) 5 (D) 0
(E) Answer not known
e$arr Glprfluoflooro
116. distribution has lack of memory property.
u ror gtti(q $lororor npp<;ir SOaro.
Geometric distribution (B) Binomial distribution
Glulqri;op uyo.rcit r,r19guqu uTeueu
(c) Poisson distribution (D) Beta distribution
u nurenein u yo.to Srrn uryo:o
(E) Answer not known
ofl or r 6lp rfl u..r 461 cborar
117. The probability of getting atleast 3 heads with toss of 4 coins in
gneinlq pnarru-: niiooror *ain@ r-b Glunqggr (Solp$puLelb 3 gro,,o gano eflqgorp$onor
$loppoefl cnor oain@ r91 r1.
3
(A) 16 (B) 1
16
(c) I4 G
5
(E) Answer not known
a9lorr Glp rflu: orfleu or ar
49 Statistics
[Turn over
Text of page 48
118. If 2oo/o of the bolts produced by a machine are defective. Determine the
probability that out of 4 bolts chosen at random exactly one will be
defective.
(gD6DLnn5 LOLrpSl Gleu.luuu@rb Gunqtur_-eb 2o epcrgpLb 6orpun@
Qrp{,lO eroornuruq
6gu_Gta'r (pa,lLons GplpCp@rt;15Lir gorGlornlrS pn,inlq C"i'ofra,gr't
gG q Gl u.: nq 19 orp u n @ or rL G u neb @' 6t
-.,i"p-g * n *1 $ e Bpe,"ag F, ar 5$l s.
(A) 0.7676 ,./(s) o.sosa
(c) 0.6409 (D) 0.8e76
(E) Answer not known
491 or r Clprfl u efl cboro
119. If the number of vehicle passing a certain point an a road per minute is
Poisson distribution with mean 4, then the probability of s vehicles pass
in a minute is
unrilenetn urJote$le eO $lrilu$Spg eqnorfluns pr6trT(g 6u n56rra e eir gg
6flurgir
Q.P-p^ 6Lpgi .9Pg,'l @@ flr.0rg$eu 5 ornsorri:seir Geeirorpssnor
$leBpoc8loror earr&61 @s.
(A) e-a ba
5!
,At '-n 5!
nu
(c) e-a ba
4t
@+
(E) Answer not known
o,91oor 6lp rfl uer9 cilanar
Statistics 50
Text of page 49
120. If the mean of a Poisson distribution is 2.25, then coefficient of skewness
ts
unftrr)6n6tr u ryo.roSldn erynefr, 2.25 craflo Gsnrrri;Gloqgeflan Lo$) u u nargt
1.50 (B) 2.25
(c) 0.444 (D) 3.444
(E) Answer not known
er9lor L- Glp rflu e0 rireoar
121. In ratio-to-moving averages, the values are expressed in
o$6lp pegLb erJnerfl goorpu9< , Lopuqeoror G1o.rofluu@3Bgeugt
t-t(A) Percentages (B) Ratio
egc6ldlpLons c061pons
(C) Proportions (D) Decimal
oSldpnrienrlLb pELDLb
(E) Answer not known
e,91oru Glp 61u..: efleboncu
122. 1Yr. equation y - dBt is known as
y - qBt oeinpr sLoeirun@ oa, e1$luuu@orgt.
(A) Logarithmic curve (B) Comperts curve
L&6r5 ol6D6n6'q s ri u ril-siu 6rr o6IT6q
Exponential curve @) Logistic curve
gO$q5 6u 6odr6q g6n6l rL- 6u6D6r6]
(E) Answer not known
e,9la'r r- C)prfl u:o.9loaoo
51 Statistics
[Turn over
Text of page 50
123. The best frtted trend line is one for which sum of squares of residual is
Emf;s aoorrnu9leb Glu n1g$puuL-u Gun61g Gonrrqdn cr&ertuooflrin 6uftsnil56rflGtn
a-'(i\seir 6oeot.
(A) Positive (B) Negative
GnfLoanm crC)rtLoor rn
16 Minimum
lqorp$puro
(D) Maximum
el$auue
(E) Answer not known
e6lor r Clplfl ua9leUoro
124. In time series trend values relates to
sneu Cl pnrri or rfloreu9ein Gun6qg ropuqseh Gpnrriqu@orgt
Annual figures or monthly averages
angr- o$uqe6ir g6bolg,J onp erTnerfl
(B) Metres per second
l8urrt gri e6l arnrgrnlg
(c) Correlation
8LOp6.l
(D) Index numbers
15dluSLO ererrseir
(E) Answer not known
a9la"r r 6p u
rfl o9l ei-roro
Statistics 52
Text of page 51
125. Time series consist of components.
oneu$Glpnrrt ou rfleoeuglal 6rpp@66r u15$lseir E-6iT6ng ?
(A) one (B) two
e6ing rfdinO
(c) three ) four
(9D6ing pn6trr15
(E) Answer not known
e6l eo r Glprfl ur ooro
er91
126. Reason for cyclical variation
&p6b 6rpp @pte$$lgenar 5n[6rurr 66iT
(1) Depression
Loria r6la, a;
(2) Recovery
LSLSI
(3) Prosperity
glfluq $loro
(4) Recession
r9<iiraflgrBsLb
(A) (1) is correct (2), (3), (4) are wrong
(1) crehu5 slil (2), (3), (4) p-Sr
(B) (1), (2) are correct (3), (4) are wrong
(1), (2) erfi (3), (4) p-E
(C) (1), (2), (3) are correct (4) is wrong
(1), (2), (3) efii (4) pa,e
(D) (1), (2), (3) and (4) are correct
(1), (2), (3), (4) eto,orpg,lr:> elfl
(E) Answer not known
c0oru 6prfluer9looro
53 Statistics
[Turn over
Text of page 52
127 . T}:,.e normal period of business cycle in time series is
onot356pnuriedlu5leir ou otfla ap$C1u9lan snpn[G6r Ena; {t6n6r n6rg]
(A) 1 - 5 years (B) 1- 10 years
1 - 5 arlgunirsen 1 - 10 orgL-rarsetr
,d 2 - 10 years (D) 3-10years
2 - 10 otqgr-nneeir 3 - 10 augL-rae eir
(E) Answer not known
a9l an r- Gp lfl u er9l draro
128. Ratio to trend method is used to measure.
Gu nridleir efldlp grorp sonridlr e_pE6rg)
y'
(A) Long-term movements 4S) Short-term movements
$ainr- ano DnEprfu56iT O6)ppp sneu Lon$pnroeir
(C) Cyclicalvariations @) Irregularvariations
&gdo 6f bp @pri;srroetr g(gruc.D.D 6rpp @p6e rus6tr
(E) Answer not known
e0 or L- 6p rfl u: or91 cbooo
129. Free hand method is used in
pco L-u9kinSl orsu9l orncb ou or rJq Lb
GD6Dg)an ur u u: dnu @$5l orgt
(A\ Secular trend (B) Seasonal variation
$aturr- e nou Gun6g u(Dolsrrar Lonpp rlscir
(c) Cyclical variation @) Inegular variation
eg6o 6rbp $lplria rn setr e(9ril6D9 crJDP 6Pri;ornceir
(E) Answer not known
eflcrr r 61p u
ifl a9l ciranar
Statistics 54
Text of page 53
130. Give Assertion and Reason :
a''porpq rn onferr$olgiqrjl Glen@6o41tb :
Assertion [A] : Secular trend to the long-term movement'
a'pOr [A] : $aEnr e nouGu n619 aeinug 6rl*t- srcu $ ur;o$orpr;
odledlpg.
Reason [R] : Seasonal variation refers to the recurrent movement.
onrTcrrLb [R] : u(D6!sna: tongun@seir crdru5 dain06 LSaitrO b @u:r;s$orpri;
O.d,B6,ogr.
(A) Both [A] and [R] are true ; and [R] is the correct explanation
of [A]
Lopglb [R] O raior@ Lb rerrooLo; ,opg,l [R] aeinugr [A] @ein elflunor
6smnlgtb
[A] is true but [R] is false
[A] e-arraoLo €6rna: [R] porpneurgr
(c) Both [A] and [R] are true ; and [R] is not the correct explanation
of [A]
[A] ,,pgr,b [R] 6rlaln@r:, LaitrorLo; topglb [R] cranugl [AJ Sein erflunar
a9lorrhsLb etoar
(D) [A] is false, [R] is true
[A] p-E, [R] rainor ou norgt
(E) Answer not known
o91o, r* G)prflu: a9loono
55 Statistics
[Turn over
Text of page 54
131. Price index compares levels of from one period to another.
orSlorori (qdlu9@ gg snosL-L-g$eSl gggr olGlpng snareuug$pqg
C
st6n6!6or6r gu r5l @6lpgl.
(A) Quantities Prices
.9l6n6q66ir e$loraroeh
(C) Prices and quantities (D) None of the above
ar9loroseh togg Lb gtcne,ls6ir GLoGo zeiren crgteq rSlcbano
(E) Answer not known
o9lor r- Glprfl ua9lcbanar
132. The purchasing power of money is the inverse of
umr5$lein ornn:qqLb esgl @ppq5 a$tr.r,ai,1wny1l
(A) Price Index number 9,16; Cost of Living Index number
er9larar 6$lu9uGlL_ain ornBri;orogpqrh lqdilrgiO.rto
(C) Quantity Index number (D) Value Index number
aa6nerl (Sdlu9l_Gluain opuq 6$lugi6r_aln
(E) Answer not known
er9lor r- Glprfl u..r efl cirorar
133. The index number for base year is always
qain@rfionan OdluSaO 6rain 6r6i,r6r ?
/rquuorL-
../ tel 1oo 1n) looo
(c) 10 (D) 1
(E) Answer not known
cr9lor r- Glprfl ulrgl eirorar
Statistics 56
Text of page 55
134. Cost ofliving index is also called
o: nglri;ano Gl +oo1 g$l uS @ $ eil eu ng 6 er err pri;eu u @ 6pg1
(a) : Consumer price index.
portGarnn o6laro g$lu9@
(b) : Retail price index.
SlooorrJ or9loro 6fl u9@
Both (a) and O) are correct
'A (B)
(a) toPgrrrb (b) OuarnGtLb efl
(a) is corect but (b) is incorrect
(a) erfl garna (b) p-gt
(c) (a) is incorrect but O) is correct
(a) p-gr garno (b) eltl
(D) Both (a) and (b) are incorrect
(a) opgLl (b) Era;mOLl porgr
(E) Answer not known
oflor r G)p u: er9lcboro
rfl
135. Geometric mean-based indices are
nPo qgt eqneifl etrquuanuu9lonor qgfiu9@e <ir
gr(.9 Reversible @) Irreversible
r-8or&a''rryu-roro.r 16or grrlu npanot
(c) Constant (D) Equal
grD tD fT6r6D 6)l
$)orou nararrar
(E) Answer not known
o6lorr Glprfluo$looro
57 Statistics
[Turn over
Text of page 58
t42. set of observations has the minimum variations.
pryq sal6r Gls n6inL 6p nlgu q ri;g lgorgl$p u u+ o ng u n@ leireng.
(A) 30, 40, 50, 60, 70 (B) 56,58,60,62,64
38, 39, 40,4t,42 (D) 50,60,70,80, e0
-d)
(E) Answer not known
e,91 an r Glp lfl ur o,91 ciror o
143. In moderately asymmetrical distribution
Gsn [nu] ton6r Sqgp u [d6rS]d)
6, 8D<MD<SD (B) MD<gD<SD
(c) MD < SD <QD (D) QD<SD<MD
(E) Answer not known
e6lenr G1p rfl u.: e$ cbaret>
144. The mean ofsquares offirst thirteen natural numbers is
goplil upg<ing $ucir ereineaflrin orrtrisrtuoofldn eyn+ifl
.a
J<g 68 (e) 81e
(c) el (D) 46
(E) Answer not known
e$ or r-- Glprfl u agl eboro
Statistics 60
Text of page 59
145. Out of 100 numbers 20 were 4s, 40 were 5s, 30 were 6s and the
remaining were 7s. The arithmetic mean of the number is
Gsn@ri;ouuu@dror 100 cretorcofldr S<O"gr @6,p 4, pnpugr goan.D 5, gouugi
Ujru 6 tDEp6)6)r rfpgrehororor 7, $pafletrr a''u@d' erJnorfluna,gl
v(A) 5.3 (B) 3.4
(c) 4.5 (D) 5.6
(E) Answer not known
e61orr- Glprfl uo$looro
146. The sum of squares of deviations is least, when measured from
*y glpp
r5lairar6r-b ell6rT6)6r6)ru uuoinu@$$u o9lo6s al ft.is rusafl otn a.6tgeu r6loeqb 15arpeq,
gi6lr6)6u,
Mean (B) Median
v4A\ c'r@eerJnel[1 Sanr-fleno
(c) Mode (D) Geometric mean
(psGl Gl u lqri;qgri, +rlnerfl
(E) Answer not known
e,9l or r Glp u o6 eueoar
rfl
14?. Which of the following is true for negative skewness?
SBsa;nroraraoflcb crg cr$ ri plr.6nor6u{i;(5 erflu na,gl t
( Y Qs+Qr=2Qz (B) Qe +Qr>2Qz
\-/(c) Q,,+Qr<2Q, (D) 0s +Qz<2Qr
(E) Answer not known
efl co L- Glprfl u er9l ooro
61 Statistics
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Text of page 60
148. The positive skewed distribution is
Ggrioorrp Gsnlu u rya.re;b cretnugl
J(A) Mean > Mode (B) Mode > Mean
(C) Mean = Mode (D) Mean < Mode
(E) Answer not known
eflor r- 61p rfl u o6l eboro
149. If a frequency distribution, the mid value of a class is 15 and the size of
the class interval is 4, then the lower limit of the class is
g1g etoroGer.r_ein ulara5leb orqguq $oruGlo.raflugletn
.9tpp 6u(guq @anuGororor a oaflcb etpp or6urSlan 891 -orour Lo$uunargr 15 Losg rb
oOeodlulnor5l-
(A) 10 (B) 12
v/Q 13 (D) 14
(E) Answer not known
ei91 an u Clprfl u..r a9l ebeno
150. Diagrams are tools of
ofl-or6su u r.-risoflein zuoryonn 56rrrr@19]
u/(A) Presentation of data
qeirofl er9at ryn.tuooror Glotofl ugl@peir
(B) Collection of data
qehofl a9lor Trne oror Georfluugt
(C) Compilation of data
qctrofl cr9lor rTrfieoror goeopu u @$g1gcit
(D) Analysis of data
qctrafl aflot ryrae o16r +u-lp6i)
(E) Answer not known
oSloru 6lp flu: a9kirorar
Statistics 62
Text of page 61
151. Each statistical table must have :
golGlarn19 qetroflu9luo si urelr orerru9d @qgri;o Go.rerrqu: slLbemoeir :
(A) Title, caption, stub and body
p6Douq, gtor@r pana;uq, $lorry$pdnorLo to!96 zrp uq5$l
Title, caption, stub, body, footnote and source
p6Daluq, gt6D6n p6Douq, p ar ry$peinor Lo, e-up ugp, erqt15$luqseh Lopg r-b
€pn[b
(c) Title, caption, stub and footnote
p6D 6D u q, g or6sr F6D al u q, p crr r1$p<inor ro to$g 6 er rqdig$l u q eeir
(D) Title, caption, stub and source
pr6D6DUL.l, gl@66ur p6taruq, $lorry$p<inoro tDEg rb -q'pn[b
(E) Answer not known
erfloo r Glprflu.lor9 cbano
152. The process ofpresenting the classified data in tables is kn own as
gl uo eo arruglo soro&dlruuLL prI6Dol olpragLb Gleueilgoeogl 6t6al
erorgri;ouu@61p5.
(A) Classification ) Tabulation
u(5ppd etruauorouruu@$pr,i;
(C) Interpretation (D) Analysis of data
Clunlgcir a"'gPcil glerlsoren grynopor
(E) Answer not known
o9orr Gp lflu: or9looror
63 Statistics
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Text of page 62
153. In case of frequency distribution with classes of unequal widths,
the heights of bars of a histogram are proportional to
e LoLo$p erycon oafleir rgllflaq e qgrdn
$lsSpGlo.rain u rJareir c;EuLLneil, 6eoro.rc
urorrsoflein Lur [rb Bq5 6gldlpren[LDns @19ri15Lb.
(A) class frequency (B) class intervals
Gl /fl o.1 eofl an
flep6 or ain r91 lfl o1sofl ein @ or r-Gl or ofl sei-
-
(C) frequencies in percentage ) frequency densities
epa9pp$ ar pe glG or ainoeir $lo p Cl or atur er rng$l eelr
(E) Answer not known
or r Glprfl o0 clrano
o91 u..r
154. which one of the method is not a primary data collection methods?
EB*eelrr-erggoh .pp p7o1 6upLb 1go6,p (ppeil,6lala: p[q g:arpreou& +nnppgr
€16l)6l)?
(A) Questionnaire method
o9lornuulrgu:rl 6e nain@ gry6q Ougxrb Gp6Dp
G, Data collected from published sources
C)ar afl u9l ru u r-r qp nrTra eofl o5l
19Fg p,r.,i"*, Gl up u u @ Lb grorp
(c) Local correspondent method
st(5sotto$p €.u: or ncrar 176 Clsnann@ p[6q GluE6 G]6Dp
(D) Indirect investigation
tD6)p(gDs .guJagl<iir gooLb prfoqeeir 6ug6 goargr
(E) Answer not known
o9l an u Glprfl u:e61 ciraro
Statistics 64
Text of page 63
155. The sturges formula for determining the number of classes is given by
or9lar rlrirsaren orore u@$grar$lct, 6!6)5 crauromflriorsorul sain@ 6lqri;e e-p6q 6
crcNugt
\ig,c,$ex
'z6l h-l+3.322log1sN
(B) k=2+3.322logreN
(C) h*r-3.3221o916N (D) k=1-3.3221og"N
(E) Answer not known
o9l en r G1p lfl ofl oaro
u.l
156. The number of observations corresponding to a particular class is known
as the of that class.
Oeu prleqsaoor 6uf et L_rarorerruglo gorpdldr Lopur9pg 6/pu 8a; (5(S|665nrg
orore uu@$$ 6D6uuugi +orb.
(A) Caption (B) First
goP<il Pomr
6lrydroofl eln p6D6DUq
-6 Frequency
$lsBGlorain
(D) Stub
$lor[e6rfldn p@oluq
(E) Answer not known
o6lor r 6prfluo0oaoeu
157. The number of times a particular item in a given data is called its
eo Ll eirafl oglor r;rar oofl o qgflurgur p-(5uu+ et$epprooo 61an@rhouu@op@sror
Clu u rt
(A) Variation y{B; Fruqr"rr"y
onSl gtenoGalain
(C) CumulativefrequencY (D) Range
qge6lol eteooGlorain eSri,+
(E) Answer not known
o,91 or r 6lp lfl u ei9l oono
65 Statistics
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Text of page 64
158. The equation for fitting second degree parabola is
Sl rl6!-rLnrjl u n6D6 u [6rt 6)6rru$$ ororu Gl u ng$51 otp$o n6r 6lo6inu nLn6ng]
(A) y=a+bx2 +c
-'<6 v=arbx+cx2
(c) !=a+bx (D) y- axz +b+c
(E) Answer not known
er9or L- Glp rflu er9lebora;
159. Assertion [A] : Modified Exponential curve is yt=a+b.ct.
rgguu@g5lpnb [A] LDrIDpUULL g@iiq5 oJ6)6rT6u6)[ cretnugt : yt = a+b.ct .
'
Reason [R] : Modified Exponential curve is determined by
principle of least squares.
flunuuu@ggrpd [R] : r5+Slg arri6s grorpuglair gral6 ronlipuuLL gOrr;O
ol 6)Gn6J 6) t sai,nL_1[i u u u @ Clpg.
(A) [A] and [R] are conect
[A] oggo [R] @ryetr@Go eflurnorsror
A
Only [A] is correct
J@
[A] Lou@Lb etflu nargr
(C) Only [R] is correct
[R] or-@ur +rflu-L norgt
(D) [A] and [R] are false
[A] opgr,b [R] 6roor6rGLo peIrpnorgt
(E) Answer not known
e,9laru Glprfl u erglcb orcu
Statistics 66
Text of page 66
162. In a chi-square goodness offit test, theoretical frequencies are also called.
frequencies.
6D5-6u ft65 61u ng$p G+npororugl <it slggGsneir pe gpGlo:ain pe5pGarar
g6Dp6suuOLb.
(A) Actual
,4
\,,@) Expected
g-61616) ouJ n6r
er6ltunn&srir
(C) Empirical (D) Observed
u urpfigoorgl oainrrflri;s
(E) Answer not known
a9lorr- Gprfl uer9looro
163. If the order of the contingency table is (s x 4). Then the degrees of
freedom ofthe corresponding chi-square test statistics
5 x 4 eurfl,oreqarru..r Gprtcq u L-rqugtri;anor orso.ifi&s Genpororuglein GL+6i'6DLD eLg
(A) 18 (B) 17
.,/<ll 12 (D) 25
(E) Answer not known
o9or L- Glplfl uoflebaror
164. For testing the hypothesis concerning variance of a normal population
is used.
8919_r"6-, eCfSrq
udlnptdrs uutinu@6lpg.
LorgrunLr-6n6)d erftEp e(DgrGsnanor
^Gpnlgpugleiir
(A) t-test (B) F-test
t-G+nporor F-Gerporor
(C) Z-test ) f-test
Z-Gerpaan orsol ri6s Genporor
(E) Answer not known
o9lorr Glprflu oO <i.raoa,r
Statistics 68
Text of page 67
165. Fromthe 2 x2 contingency table
4t6 184
64 JJO
the expected frequencies are
416 184
64 336
2 x 2 floB6oain uL-rauo5lcrSlgsgr o$riunrtgpdo $leglGlorain uL+ueunoror
288,192,3t2,208 (B) 288,266, 188,312
(c) 288,192,342,278 (D) 288,266,158,364
(E) Answer not known
a9lorr Clprflucr9cbano
166. In 72 -testfor contingency table O' = t is known as
n
Gp,tq uurgurgt&enco c{ LLor6)@r 6D66uft66 G+ngooordcil O' _x2 ereinr.l ar
n
aar elfluuu@6lpg.
(A) Contingency (B) Mean Contingency
Gprtq ur-qucir sqne rfl Gpriq u rrqureir
,v&l Mean Square Contingency (D) Absolute Contingency
ar nrfis erJn+fl Gpfteq u rrlu.rcir pafiu nor Gprio1 u r-rqu.r6;i)
(E) Answer not known
a9lor r- Clprfluo0ooro
69 Statistics
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Text of page 68
167. The square of a standard normal variate is
prnnor @ud;$loro on$lu9kin eu firisLb +oLb
(A) t-distribution (B) F-distribution
t- u rTorcir F-u r1o-reir
) f -distrtbution (D) Z-distribution
f -Ltqlrra Z-ursa.t6o
(E) Answer not known
or9co r Glprfl u:er9looro
168. For testing significance of an observed sample correlation coefficient we
use test.
e'gi er-Opo.l Gsqga6lan rflanapeinano Genpri;s Genporor
uudnu@$gGornrn.
(A) Chi-square (B) F
a 6)56u nB5
t
t
F
(D) Z
Z
(E) Answer not known
e9col- 6)p filu-r o9 eberra.r
169.
P X-p < 1.9 .(
o is eq ual to
^li )l
P X - pl<t.o .(
o
G)l odnp @s5ppao9l<in crgp Lopur9lp6 eto Lo nangt
(A) 0.90 Ao.ru
(c) 0.99 (D) 1
(E) Answer not known
er9lorL- Glprfl er9 clran o
u.L
Statistics 70
Text of page 69
170. Equality of several normal population means can be tested by
ucirGorg @u-r<tu$leoo go119Glp n1g$lu9etn erJne/floeir slorjl 616r or$p Genpeoanorur
uueinu@g$l so'p (g+u-.1 Lb
(A) Bartlett's test F-test
unrtL6DL Gengaoor F-Genporar
(C) t-test @) f -test
t-Genporor f -c"np**
(E) Answer not known
ofl or r Glprfl u a0 clorar
171- 11 o2 is the variance of normal populations then the degrees of freedom
of the sampling distribution of the test statistic for testing Hs:d -ofi
is
o2- ereinugt gqg @u.reilfloo g:qggGlpnqgpugl<in ongun@ oofla Hs:o2 -o2o
odnugl olggGonorcr Gen$lrluppsnor on$ lfl uaforuenorar& Genpororu9ein ourgdnorLo
a''EuCl;r
\-/(A) n-t (B) ru +1
(C) n @) n-2
(E) Answer not known
ei9l or r Clprfl u o5l cboro
172. To test flo : P = Po, the test statistic is
Hs:P- P6 oeinu orp Gen$l u up$a nem q cirofl u cir Genporar
ugl
(p-P) (B)
p-P
f,:eqr" @
(p - p') (1- p)
(c) (D)
PQ ln NPQ
(E) Answer not known
or9leo r- 61p rfl u ar9 cl eoar
7\ Statistics
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173. Comment on the following statements :
6Br;somr a-,gangrri; B(Dglo :
Statement [A] : The statistical constants of the sample are called
parameters.
&,pg [A] : Lon$ lflugletn q errofl ag) ar r7 peoounarg: ar@guqseir 6r6ing
etanp6e u u @6leinglem.
Statement [B] : The statistical constants of the population are called
statistic.
e,.pg [B] : GD(golrD Glp, nqgp u9l<in qeirofl erglor r1 panounar51 q cirofl u9 u elt
o n$l rfl u ainu enaoolsoh cretng et an g6su u @61 oinp or.
(A) Both [A] and [B] are correct
[A] ,.og,n [B] Striaior@Ll eri
(B) [A] is correct but [Bl is incorrect
[A] efl garnc$ [B] +lflugleirorro
(c) [A] is incorrect but [B] is correct
[A] erfl @elarreu 4arnab [B] +rfl
v6) Both [A] and [B] are incorrect
[A] ,pg,i, [B] @ryaln@Ll elfi @ciroro
(E) Answer not known
e$oo L- Glp rflu erfl eboreu
Statistics 72
Text of page 72
176. (a) : Hr: p Null hypothesis.
(a) : 14 | lt - th -@rn ogrrn a@Generr.
ft) : Ho i p* lto -Alternative hypothesis.
(b) : 1{o : p * lto - er$rtoorp er@Gonen.
(c) : 11r : p < lto - Two tailed alternative.
Ili i p < lto - @t5gr-* crprtLoorgr.
(c) :
(A) (a) is correct, (b) and (c) are wrong
(a) oeinu5l erfl, @) opgirt (c) g-E
(B) (a) is wrong, G) and (c) are correct
(a) oetnu5r p6rgl, (b) LopgLb (c) erfl
(a), O), (c) are wrong
(a), &), (c) gangLir pargr
(D) (a), (b), (c) are correct
(a), (b), (c) g:<irrgo etfl
(E) Answer not known
cflor u 61p rfl u or51 ctueoo
L77. P(X e W I Hi is denoted by
P(X e W I H o) g qgdluLgl@6ugr
/1
\./(A) a (B) B
(C) L-a (D) r- p
(E) Answer not known
cflorr 6p rfl u..r erglcilorcu
Statistics 74
Text of page 73
178. In testing of hypothesis which of the following statements are true?
cr@Ganoiraeir G+npanaou5leb r-9<inargrn *'fgrsofleu crgt elflunorpno e-ehorgt z
(, Level of signfficance is the size of the critical region
$noq ouuu u6$lu9 rl ClguqBenain roL-L-$p cin Lo$)uqoeh $leoa.ru norp;no
0O,*,Clpgl
(ir) Type II error is the probability of rejecting 110 when 116 is true
SlrlenrunLb aroro r-9lorpu9letn Gun5t o@Geneir 116 e-crcrarLou.t ne @griqSLb
Gunar 16ln ns lfl6s u u l'A or sr
(iiil Critical region is also known as region ofrejection
p [ne6]&su u @ Lb u g$ u.L norg $rta1 orr-u u1g$l oorol Lb elor gri;su u@6lglgt
(rg Every uniformly most powerful critical region is not necessarily
unbiased
geirGorn19 er$l$lp<ir $rta1 er-ruuqg$l eainrquune r-9lprpri'6luPppns
@1gri;e etorCl u.l 16l ci:oro
(A) (i) and (iv) only ) (i) and (iii) only
(i) toEguLl (iv) toL-@Lb (i) Lorhmrb (iii) Lo rfrit Li>
(C) (ii) and (iv) only (D) (iii) and (iv) only
(ii) L-orirmrrn (iv) Loufl'lLb (iii) Loppo (iv) ou@Lb
(E) Answer not known
or r Clp
o91 efl oono
lfl u-r
75 Statistics
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Text of page 74
179. The hypothesis testing problem Hs; p - 45 against Hr: p < 45 be
categorized as
96 a gGsneir Genpororu9lo //o : lt:45 abgt.o Ht: H < 45 c,reii;uppg opu
-n-
mudsuuGlLb Gens6D6r
.y'tl left - tailed (B) right - tailed
-
0.gr groror G*nporor 6ualgj (gDol6T Genporor
(C) two - tailed @) neither right nor left
6<g goa,* Ganparan 6(D (g-* Genpcoor eleUo
(E) Answer not known
o0 or r Glprfl u er91 cireoo
180. Student's t-test was invented by
eiu@r-ainL- - t Genpaoorou.r eain@ O rq$p6'r ri
(A) Fisher (B) Snedecor
.91u,+n oiuGlenrssn
Gossett @) Cochran
Gsnour 6)o nd; rJnein
(E) Answer not known
r 6p u ofl eboro
or9larr rfl
181. The number ofdefects per unit is denoted by chart.
e(D sl6D(g L6ir6n aloro9lcb gorglsaflein crai.narfl&orsanu.t tgdluugr
or9lor&o u r--Lb.
(A) Chart (B) P Chart
C oflor&cuurLb P a9len6cu u r-Lb
(c) np Chafi @) X Chart
np er9larBeu u lrjt X erflerrri;su u rri>
(E) Answer not known
or5larr- 6prflua9< oro
Statistics 76
Text of page 76
185. The probability of rejecting a lot with the process average percent
defective is called
6eil<V:o,pu9lein lgorpun@ eper9pgarp og6s&a,rqu GlpnqSslugldr 6l"Dp*^l
V+fi|
\./(A) Producer's risk (B) Consumer's risk
s Ib u3i$)u: nori @r-rt u u:etru nr-r-nenri @lrt
(C) Both (A) and (B) (D) OC - curve
(A) Logg Lir (B) 6eu9 uainq 6u6o6n6u6)ry
(E) Answer not known
er9lor r Glp rflu: a9lcilano
186. If the lot is accepted on the basis of sampling inspection plan, then which
of the following is correct
e'g +r.u6]p $lrrLb g:orn, 96 go9lua) 6,Eeuu+6tn, r-9 eineu lgou orarsg 6h 619l
Clunrn&sronarsr ?
(A) ATI < ASN (B) ATI > ASN
Jb) ATI _ ASN @) ATI+ASN=0
(E) Answer not known
o6lorr Glprflu er9lcl or eu
187. A curve showing the probability of accepting a lot of quality p is known
as
pqb'p' e-eircr porpsan6n 6rpgt6 Gonehcr.rorp onr-@ri elrol6ncr.l
JLt OC curve (B) ATI curve
OC arorcnq ATI orororol
(c) ASN curve (D) Gompertz curve
ASN areoenal GsnLbu rtroiu 6r6D6n6q
(E) Answer not known
e6l or u Glplil uc9 cirerro
Statistics 78
Text of page 77
188. The OC curve of double sampling plan when compared to those of single
sampling plan procedure is
SryucoL- *'Glp@$p<ir grarpugdn OC o.ro,orcuort 631bor1 eLGlp@$pci: gr60,E
arorora: or rJu9lo gpuGl@Ll Gungl
,,
J@) steeper (B) flat
Glonilo5pnororor pr-6) Lr! n6dr6)6u
(C) identical (D) none of the above
6GrJ on$lrflunororor Gtop *.'$luorpdl6U 6Jg,b $Ooro
(E) Answer not known
eflco r- Clp rflu:cr9lei:oro
189. Any solution to a LPP which satisfied the non-negativity restrictions of
the LPP is called
Gprflu:<ir flronea 5@rd;616b, eO Sft6q o$)riLoorpufgr p6DL or[rboo^lu grtg$l 6]eurqLi>
Gu ngr er$$rter9laoar $to:a.r ngt si6opuuft
(A) Optimum Solution
uflstri lsfis 6rial
) Feasible Solution
+n$$ uLoneo $noq
(C) Degenerate Basic Solution
8rygloq elrquuanr en$$1uLon6r 5n6,.1
(D) Non-Degenerate Basic Solution
Clorpeuarr rurnp c}tr+uu6)L en$pumnar $rieq
(E) Answer not known
r 6prfl u orar
er9l on o61 cfu
79 Statistics
[Turn over
Text of page 78
190. In a linear programming problem to convert the constraints of less than
or equal to type to equality type we add
AO Gprflucb $lrlo nBs scrr66leb (56op,bp LD,E9 Lb &LotorTor sr-@uun@eoror
eloorTarpns LDnEglrjr Gun5t pnLb G+rtts Gotai.nrlu Lon$l
(A) Surplus variable (B) Artificial variable
r6lorsur nor to rr$lseir G)eurliors ur nor Lo nfloetr
(c) Slack variable (D) Dummy variable
u rb mntiraen m ionrflsah 6unrilorLo ronpioeir
(E) Answer not known
er9or r- Glp flu er9leDeoar
191. To convert ">" constraints into "=" constraint, the variable used in
LPP is
LPP -ar eo<inun@ ")" crdnuci,p "=" so6inunLno onpgarpgqg uuetnu@rn onfl
(A) Slack Variable (B) Restricted Variable
Clarn& Lon$) sr--@uu@$puuL-u onfl
fr, Surplus Variable
+rirSloroiu Lo n$)
(D) Positive Variable
GnriLoanm m nrfil
(E) Answer not known
a9lor r- 6prfluor9loaro
Statistics tt0
Text of page 79
192. If a linear programming problem is unbounded, then it means that
@Orfi n w,;t $l ur- sanrBd ein $ ft oq oeireneu u:Spp ne $l 6Sp neir
JA) There are infinitely many solutions
6t @t @t b g 5f qsGir L6iT6r@r
(B) There's no solution
$rtq @oono
(c) Infeasible solution
en&Cluorhrn Ertcr
(D) One solution
eo 6ft6q
(E) Answer not known
er91 or u Glp rfl u o9l eiroro
193. is a type of activity that does not require any resources or
time.
creinp C)euei: orrol6 6rpp euorrnogb, GDrygcLb Ggcnou uglcireoat.
Dummy activity (B) Preceding activity
Gunc$ 6*u-rc un@ grperlpr! Gleuebun@
(c) Unique activity (D) There is no such activity
pofluuru Gleuoun@ .etuu+ g1g Geucirun@ @Ooreu
(E) Answer not known
or9lan r-- 6p rfl uor0 cb eocu
194. For activities on critical path, early start is equal to
go&Clumnor u norpuglei.l leircr 6lsurdun@eofldn grl6u Gpnt6eLil 6q9
eto6.
(A) Early start B) Late start
glLbu ClpnrtioLir pnoponor Clpnr-BsLb
(C) Early finish (D) Late finish
+[tbu @q6r] pnlDptonor GD +6!
(E) Answer not known
oflor r- Glplil uer9l rilaoo
8l Statistics
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Text of page 81
197. The optimal assignment of the given assignment problem is
r-9tinor6O Glon@touurr SCtdrSO s6fir6dl6in e-o$p g51t8@
Machines
Mr Mz Ms
Jr 40 10 0
Jobs .J, 0 0 30
,/1 Js 0 20 10
J, -+ Ms, Jr -+ Mr, J3 -+ M,
(B) J, -+ Mr, J, -+ Mr, Js -+ Ms
(c) J, -s Mr, J, -+ Mr, J, -+ M,
(D) J, --+ Mr, J, -+ Mr, J, -+ M,
(E) Answer not known
er9l ar L- Glp rfl u.l ar9l<loro
198. When the total allocations in a transportation model of mxn size do not
equal to m + n -l the situation is known as
mxn emtre$Jeunor Gun6qgeuf$gJ 66n&6lcil Glon$p ggrri8@oeh rn + n -1 *1g
eLoLone $cionpGung, $laoooro cran elaogsouuOdlpg.
(A) Unbalanced (B) Tie
ero 16leocu u.l fi m rSlmfluq
J4 Degeneracy
S,rdlq
-
@) Diffrcult to tell
Glenc orgt oqordr
(E) Answer not known
er91 ao r Glprfl u.le$ ebano
83 Statistics
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Page 1 of 82
Source: Tamil Nadu Public Service Commission. Question paper published by Tamil Nadu Public Service Commission.