VNSGU (Veer Narmad South Gujarat University) BA (Bachelor of Arts) 2019 1st Year 1901000102030005 Element Of Statistics Previous Question Paper
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RAN-1901000102030005
F.Y.B.A. (Sem-II) Examination
March / April - 2019
Element of Statistics ( Paper-II)
k|Q"p : / Instructions
"uQ? v$ip?h?g r"ip"uhpmu rhNsp? D?fhlu `f Ah?e gMhu.
Seat No.:
Fill up strictly the details of signs on your answer book
Name of the Examination:
F.Y.B.A. (Sem-II)
Name of the Subject :
Element of Statistics ( Paper-II)
Subject Code No.: 1901000102030005
Student's Signature
(1) S>dZu bpSy> v$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$pi?.
Q-1
"uQ?"p ??"p?"p S>hpb Ap`p?.
(10)
(1) ApL?$rs"p rhrh^ ?L$pfp? S>Zphp?.
(2) dprlsu"u k,,Nssp A?V$g? iy,, ?
(3) klk,,b,,^p,,L$"u ?ep?ep Ap`p?.
(4) ? r = 0.2, cov (x, y) = 6, x = 5 Ap`?g lp?e sp? y "y,, ?dprZs rhQg" ip?^p?.
(5) ? ?Qrgs k,,L?$sp? ?dpZ? j = 0.4, Q1 = 28 A"? Q3 = 47 lp?e sp? d?e?' ip?^p?.
Q-2 (a) kd?hp?. (1) h?sp,,i ApL?$rs (2) k,,Qdu Aph?rsh?$
(6)
(b) "uQ?"u dprlsu dpV$? L$pg? r`efk""u fus? klk,,b,,^pL$ ip?^p?.
(8)
x
20
30
28
17
19
23
35
13
16
38
y
18
35
20
18
25
28
33
18
20
40
OR
RAN-1901000102030005 ]
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[ P.T.O. ] P0522
Q-2 (a) klk,,b,,^ A?V$g? iy,,? s?"p,, ?L$pfp? S>Zphu kd?hp?.
(6)
(b) Ap`?gp Aph?rs rhsfZ `f'u ?s,,,,cpg?M v$p?fu Aph?rs bl?L$p?Z"u fQ"p L$fp?.
(8)
hN?
30?35 35?40 40?45 45?50 50?55 55?60 60?65
Aph?rs
4
7
10
18
14
8
3
Q-3 (a) r"es k,,b,,^p,,L$ A?V$g? iy,,? s?"p NyZ^d? S>Zphp?.
(6)
(b) "uQ?"u dprlsu `f'u b? NyZ^d? A A"? B h?Q? NyZp?dL$ k,,b,,^"p? ?L$pf S>Zphp?. (4)
N = 400, (B) = 300, (A) = 250, (B) = 100
(c) "uQ?"u dprlsu `f'u klds saphs"u fus? klk,,b,,^pL$ ip?^p?.
(4)
x
23
28
35
20
24
26
22
25
y
24
22
30
19
20
23
28
30
OR
Q-3 (a) rhjdsp A?V$g? iy,, ? s?"p ?L$pfp?"u QQp? L$fp?.
(6)
(b) "uQ?"u dprlsu dpV$? b? r"esk,,b,,^ f?MpAp? d?mhp? A"? x = 4.5 lp?e
(8)
?epf? y "u qL?$ds"y,, ApNZ" L$fp?.
x = 5.5, y = 40.5, x = 1.2, y = 12.8 A"? r = 0.65
Q-4
L$p?B`Z ?Z"p S>hpb Ap`p?.
(12)
(1) Ap,,L$X$pip"ue ApL?$rsAp?"y,, dl?h kd?hp?.
(2) NyZp?dL$ k,,b,,^ A?V$g? iy,,? s?"p,, ?L$pfp? S>Zphu kd?hp?.
(3) klk,,b,,^"p A?epk dpV$?"u rhL$uZ? ApL?$rs"u fus kd?hp?.
(4) A?L$ L$p?gS>"p 2000 rh?p'}Ap? A,,N? "uQ?"u dprlsu dm? R>?. 800 rh?p'}Ap? lp??V$?gdp,,
fl?sp lsp. Ly$g rh?p'}Ap?"p 1600 rh?p'}Ap? `funpdp,, `pk 'ep. "p`pk 'e?gp 100
rh?p'}Ap? lp??V$?gdp,, fl?sp lsp. Ap D`f'u lp??V$?gdp,, r"hpk A"? `funpdp,, `pk 'hp
h?Q?"p? NyZp?dL$ k,,b,,^p,,L$ eyg"u fus? ip?^p?.
(5) "uQ?"u dprlsu `f'u L$pg? r`efk""u fus? rhjdsp,,L$ ip?^p?.
x
19
20
21
22
23
24
25
26
f
6
8
10
12
7
4
3
6
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[ Contd. P0522
ENGLISH VERSION
Instructions:
(1) Figures to the right side indicate the marks of questions.
(2) Graph paper and statistical tables will be provided on request.
(3) Simple calculator can be used.
Q-1
Answer the following question.
(10)
(1) State different types of diagram.
(2) What is consistency of data ?
(3) Givedefinitionofcorrelationcoefficient.
(4) Given that r = 0.2, cov (x, y) = 6, x = 5; Find the standard deviation of y.
(5) InusualnotationsfindMedianifj = 0.4, Q1 = 28 and Q3 = 47.
Q-2 (a) Explain : (1) Angular diagram (2) Cumulative frequency curve
(6)
(b) FindCorrelationcoefficientbyKarlPearson'smethodfromthe
(8)
following data.
x
20
30
28
17
19
23
35
13
16
38
y
18
35
20
18
25
28
33
18
20
40
OR
Q-2 (a) What is correlation ? Explain its types.
(6)
(b) Construct frequency polygon drawing a histogram from the given
(8)
frequency distribution.
Class
30?35 35?40 40?45 45?50 50?55 55?60 60?65
Frequency
4
7
10
18
14
8
3
Q-3 (a) Whatisregressioncoefficient?Stateitscharacteristics.
(6)
(b) State the types of association of two attributes A and B from the
(4)
following data.
N = 400, (B) = 300, (A) = 250, (B) = 100
(c) FindCorrelationcoefficientbyconcurrentdeviationmethodfromthe
(4)
following data.
x
23
28
35
20
24
26
22
25
y
24
22
30
19
20
23
28
30
OR
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Q-3 (a) What is skewness ? Discuss its types.
(6)
(b) Obtain two regression lines for the data given below and estimate the
(8)
value of Y for x = 4.5.
x = 5.5, y = 40.5, x = 1.2, y = 12.8 and r = 0.65
Q-4
Give answer any three.
(12)
(1) Explain the importance of statistical diagram.
(2) What is association of attributes ? State and explain its types.
(3) Describe a scatter diagram of studying correlation.
(4) The following information is obtained 2000 students of a college.
800 students were residing in hostel. 1600 students passed in
an examination. 100 students of those who failed in the examination
wereresidinginthehostel.ObtaintheYule'scoefficientofassociation
between residence in hostel and success in examination.
(5) FindcoefficientofskewnessbyKarlPearson'smethodfromthe
following data.
x
19
20
21
22
23
24
25
26
f
6
8
10
12
7
4
3
6
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This post was last modified on 03 January 2021