VNSGU (Veer Narmad South Gujarat University) BA (Bachelor of Arts) 2019 2nd Year 2257 Statistics (Higher) Paper III Previous Question Paper
* R A N - 2 2 5 7 *
RAN-2257
S.Y.B.A. (External) Examination
March / April - 2019
Statistics (Higher) Paper - III (3)
Time: 3 Hours ]
[ Total Marks: 100
k|Q"p : / Instructions
"uQ? v$ip?h?g r"ip"uhpmu rhNsp? D?fhlu `f Ah?e gMhu.
Seat No.:
Fill up strictly the details of signs on your answer book
Name of the Examination:
S.Y.B.A. (External)
Name of the Subject :
Statistics (Higher) Paper - III (3)
Subject Code No.: 2
2
5
7
Student's Signature
(1) S>dZu bpSy> v$ip?h?gp A,,L$ ??"p `yfp NyZ v$ip?h? R>?.
(2) Apg?M`?p? A"? Ap,,L$X$pip??ue L$p??V$L$p? rh",,su'u Ap`hpdp,, Aphi?
(3) kpvy$ L?$?eyg?V$f hp`fu iL$pi?.
Q-1 a) kd[?V$ s`pk A"? r"v$i? s`pk"p? c?v$ ?`?V$ L$fp?.
(8)
b) r"v$i?"u dep?v$p S>Zphp?.
(5)
c) L$p?C A?L$ kd[?V$"p,, Ahgp?L$"p? 51, 53, 55, 54, 52 R>?. s?dp,,'u b?b? A?L$dp?"p
(7)
L?$V$gp e??R> r"v$?ip? gC iL$pe? s? dpV?$ r"v$i? d?eL$ A? kd[?V$ d?eL$"p? A"rc"s
ApNZL$ R>? A?d bsphp?.
OR/A'hp
a) kfm e??R> r"v$i?" `?rs A?V$g? iy,,? s? `k,,v$ L$fhp"u fusp? kd?hp?.
(10)
b) A?L$ kd[?V$"? b? ?sfdp,, hl?Qhpdp,, Aph? R>?. S>?"p Ahgp?L$"p?"u k,,?ep A"y?$d?
(10)
20 A"? 30 R>?. ?sqfs e??R> r"v$i?"p? d?eL$ d?mhp?.
?'d ?sf"p? r"v$i? : 12, 15, 18, 23
bu? ?sf"p? r"v$i? : 16, 20, 24, 25, 30
RAN-2257 ]
[ 1 ]
[ P.T.O. ]
Q-2 a) A?L$ dpN}e hN}L$fZ dpV?$ rhQfZ `?'?L$fZ"u fus kd?hp?.
(8)
b) L$pdv$pfp? hpfpafsu Qpf e,,?p? `f L$pe? L$f? R>?. Ap v$frdep" v$f?L$ L$pdv$pf hX?$
(12)
D?`pqv$s 'e?gu h?syAp?dp,, Mpduhpmu h?syAp?"u k,,?ep "uQ? dyS>b R>?.
L$pdv$pfp?
e,,?p?
W1
W2
W3
W4
M1
10
15
7
12
M2
12
20
10
16
M3
14
7
9
10
M4
8
16
20
8
L$pdv$pfp?"p L$pe? h?Q?"p? saphs s?dS> e,,?p? h?Q?"p? saphs s`pkhp dpV?$ rhQfZ"y,,
`??'L$fZ L$fp?.
OR/A'hp
a) q?rh^ hN}L$fZ dpV?$ rhQfZ `?'?L$fZ `?rs kd?hp?.
(8)
b) A?L$ A"pS>"u ?Z ?sp? Qpf ?gp?V$p?dp,, hphsp,, s?dp'u 'e?g D`S> "uQ? dyS>b R>?. (12)
A"pS>"u ?s
?gp?V$ ",,bf
I
II
III
IV
A
6
8
5
3
B
7
9
10
8
C
3
5
6
8
Ap dprlsu `f'u A"pS>"u ?Z ?sdp,, D?`pv$"dp,, saphs"u kp'?L$sp s`pkp?.
Q-3 a) hgZ A?V$g? iy,,? hgZ ip?^hp"u Qrgs kf?fpi"u `?rs kd?hp?.
(8)
b) "uQ?"u dprlsu dpV?$ ?ey"sd hNp?"u `?^rs'u kyf?M hgZ d?mhp?.
(12)
hj?
1970 1971 1972 1973 1974 1975 1976
D?`pv$"
80
90
92
83
94
99
92
(l?fdp,,
OR/A'hp
a) kpdreL$ ?Zu A?V$g? iy,,? kpdpreL$ ?Zu"p rhrh^ OV$L$p? kd?hp?.
(8)
RAN-2257 ]
[ 2 ]
[ Contd.
b) "uQ?"u dprlsu `f'u dp?kdu Qrgs kf?fpi"u fus? dp?kdu h^OV$ ip?^p?.
(12)
dp?kd
hj?
Q1
Q2
Q3
Q4
1990
50
45
48
53
1991
52
47
49
41
1992
51
45
48
52
1993
55
46
46
51
Q-4 a) kp,,?eqL$e NyZh?p r"e,,?Z A?V$g? iy,,? NyZh?pdp,, Qg""p,, ?L$pfp? kd?hp?.
(8)
b) "uQ?"u dprlsu dpV?$ X A"? R Apg?M v$p?fp?. s?dS> D?`pv$" ?q?$ep rhi? sdpfp?
(12)
r"Z?e S>Zphp?. n = 5 dpV?$ A2 = 0.58, D3 = 0, D4 = 2.12,
X
43
49
37
44
45
37
51
46
43
47
R
5
6
5
7
7
4
8
6
4
6
OR/A'hp
a) p ? Apg?M"u fQ"p kd?hp? A"? D`ep?Nusp S>Zphp?.
(8)
b) dp?V$fkpBL$g b"phsu A?L$ L,,$`"u"? 10 dp?V$fkpBL$gdp,, "uQ? ?dpZ? A?L$dqv$W$
(12)
MpduAp?"u k,,?ep S>Zpe R>?.
2. 5, 5, 5, 1. 5, 1, 7, 5, 6
C ? Apg?M"u fQ"p kd?hp? A"? D`ep?Nusp S>Zphp?.
Q-5 a) V|,,$L$"p?^ gMp?.
(8)
(1) q?$epgnZ h?$
(2) AOQ A"? AOQL
b) "uQ? Ap`?gu A?L$ r"v$?i" ep?S>"p dpV?$ q?$epgnZ h?$ v$p?fp?.
(12)
N = 2000, n = 200, C = 2
OR/A'hp
"uQ?"pdp,,'u Nd? s? b? ??p?"p S>hpb Ap`p?.
(20)
(1) cpfsue Ap,,L$X$pL$ue ?eh?'ps,,?"p rhrh^ A?L$dp? A"? s?"p ?L$pi"p? S>Zphp?.
(2) Ar^L?$s Ap,,L$X$p A?L$W$p L$fhp"u fusp? S>Zphu s?"u dep?v$pAp? gMp?.
(3) cpfsue Ap,,L$X$pL$ue k,,?'p `f V|,,$L$"p?^ gMp?.
(4) cpfsue Ap,,L$X$pAp?"p,, NyZv$p?j kd?hp?.
RAN-2257 ]
[ 3 ]
[ P.T.O. ]
ENGLISH VERSION
Instructions:
(1) Figures the right side indicates the marks of questions.
(2) Graph paper and statistical tables will be provided on request.
(3) Simple calculator can be used.
Q-1 (a) Distinguish the difference between Population census and Sample census. (8)
(b) State limitations of sample.
(5)
(c) How many samples of size 2 can be taken from the population
(7)
observation 51. 53, 55, 54. 52? And for these sample show that sample
mean is an unbiased estimator of population mean.
OR
Q-l (a) What is Simple random sampling? Explain the method to select it.
(10)
(b) One population is distributed in two strata. Their numbers of
(10)
observations are respectively 20 and 30. Sample of first sample :
12, 15, 18, 23 Sample of second sample : 16, 20, 24, .25, 30 Obtain
mean of stratified random sample.
Q-2 (a) Explain analysis of variance method for one way classification.
(8)
(b) Four workers alternately work on four machines. During a particular
(12)
tenure the number of defective goods which each worker has produced
are shown below.
Worker
Machine
W1
W2
W3
W4
M1
10
15
7
12
M2
12
20
10
16
M3
14
7
9
10
M4
8
16
20
8
Test the difference between work done by the workers and difference
between the machines using analysis of variance.
OR
Q-2 (a) Explain analysis of variance method for two way classification.
(8)
(b) The following table gives yield of three types of crop plant in four plots. (12)
Types of crop
Plot No.
I
II
III
IV
A
6
8
5
3
B
7
9
10
8
C
3
5
6
8
RAN-2257 ]
[ 4 ]
[ Contd.
Carry out an analysis to test the significance of the difference in the
three types of yields.
Q-3 (a) What is trend ? Explain method of moving averages to find trend.
(8)
(b) Obtain the leaner trend by method of least square to the following data. (12)
Year
1970 1971 1972 1973 1974 1975 1976
Production
(in thousands)
80
90
92
83
94
99
92
OR
Q-3 (a) What is time series ? Explain various components of Time Series.
(8)
(b) Obtain seasonal fluctuations by method of seasonal moving
(12)
Season
Year
Q1
Q2
Q3
Q4
1990
50
45
48
53
1991
52
47
49
41
1992
51
45
48
52
1993
55
46
46
51
Q-4 (a) What is statistical quality control ? Explain the types of variation in
(8)
quality.
(b) From the following data, construct X and R chart. State your decision
(12)
about the production process.
n = 5, A2 = 0.58, D3 = 0, D4 = 2.12,
X
43
49
37
44
45
37
51
46
43
47
R
5
6
5
7
7
4
8
6
4
6
OR
Q-4 (a) Explain the construction of p -chart and state its usefulness.
(8)
(b) A company manufactures 10 motor cycles and following number
(12)
of defects per unit is obtained as follows.
2, 5, 5, 5, 1. 5, 1, 7, 5, 6
Draw C -- chart. State your conclusions.
Q-5 (a) Write short notes.
(8)
(1) O.C. Curve
(2) AOQ and AOQL
(b) Draw O.C. curve for the following single sampling plan
(12)
N = 2000, n = 200, C = 2
RAN-2257 ]
[ 5 ]
[ P.T.O. ]
OR
Q-5
Answer any three of the following.
(20)
(1) State the various units and publications of Indian statistical organization.
(2) State the various methods to collect the official statistics, Write its limitations.
(3) Write short note on Indian Official Statistical Institute.
(4) Describe the merits and demerits of Indian Official Statistics.
RAN-2257 ]
[ 6 ]
[ 100 ]
This post was last modified on 03 January 2021