Total Pages : 8
KN-106
B.A. (Part-III) Examination, 2022
( New Course )
ECONOMICS
[ Paper : Second ]
( Statistical Methods )
Time Allowed : Three Hours
Maximum Marks : 75
Minimum Passing Marks : 25
Note : Attempt all five questions. One question from each
unit is compulsory. All questions carry equal
marks.
lHkh ik¡p iz'uksa ds mRRkj nhft,A izR;sd bdkbZ ls ,d iz'u
djuk vfuok;Z gSA lHkh iz'uksa ds vad leku gSaA
UNIT-I / bdkbZ-I
1.
Give definition of Statistics and discuss its functions
and limitations.
KN-106/1000
( 1 )
[P.T.O.]
lkaf[;dh dh ifjHkk"kk nhft, vkSj blds dk;Z ,oa lhekvksa dh
foospuk dhft,A
OR /
vFkok
Write short notes on any two of the following :
fuEu esa ls fdUgha nks ij laf{kIr fVIIkf.k;k¡ fyf[k, %
(a)
Different methods of sampling
fun'kZu dh fofHkUUk fof/k;k¡
(b)
Primary and Secondary Data
izkFkfed ,oa f}rh;d lead
(c)
Statistical Survey
lkaf[;dh; losZ{k.k
(d)
Methods of Classification
oxhZdj.k dh jhfr;k¡
UNIT-II / bdkbZ-II
2.
Find the mean from following frequency distribution
of marks obtained in Economics :
Marks Obtained
No. of Students
KN-106/1000
64 65 66 67 68 69 70 71 72 73
1 6 10 22 21 17 14 5 3 1
( 2 )
vFkZ'kkL= dh ijh{kk esa fuEu izkIrkad vko`fRr forj.k ls ek/;
Kkr dhft, %
64 65 66 67 68 69 70 71 72 73
izkIrkad
Nk=ksa dh la[;k 1 6 10 22 21 17 14 5 3 1
OR /
vFkok
Write short notes on any two of the following :
fuEu esa ls fdUgha nks ij laf{kIr fVIIkf.k;k¡ fyf[k, %
(a)
Definition and importance of Probability.
izkf;drk dk vFkZ ,oa egRo
(b)
Skewness and its measurement method
fo"kerk ,oa mldh ekiu fof/k
(c)
Measures of Central Tendency
dsUnzh; izo`fRRk ds eki
(d)
Give definition of Mean and Median
ek/; vkSj ef/;dk dh ifjHkk"kk nhft,
KN-106/1000
( 3 )
[P.T.O.]
UNIT-III / bdkbZ-III
3.
Find out mean deviation from median for the following
data :
Class Intervals Frequency
0-10
4
10-20
6
20-30
8
30-40
10
40-50
7
50-60
6
60-70
5
70-80
3
80-90
1
fuEu vk¡dM+ksa ds fy, ekf/;dk ls ek/; fopyu Kkr dhft, %
oxZ vUrjky
vko`fŸk
0-10
10-20
20-30
30-40
40-50
50-60
60-70
70-80
80-90
4
6
8
10
7
6
5
3
1
OR /
KN-106/1000
vFkok
( 4 )
Find out standard deviation from the following
data :
Marks
0-10
10-20
20-30
30-40
40-50
50-60
60-70
No. of Students
10
15
25
25
10
10
5
fuEu vk¡dM+ksa ls izeki fopyu Kkr dhft, %
vad
Nk=ksa dh la[;k
0-10
10-20
20-30
30-40
40-50
50-60
60-70
10
15
25
25
10
10
5
UNIT-IV / bdkbZ-IV
4.
Find Karl Pearson's correlation coefficient from the
following data :
Price (in Rs.)
22 24 26 28 30 32 34 36 38 40
Demand (in tons) 60 58 58 50 48 48 48 42 36 32
KN-106/1000
( 5 )
[P.T.O.]
fuEufyf[kr vk¡dM+kas ls dkYkZ fi;lZu dk lglEcU/k xq.kkad Kkr
dhft, %
ewY; ¼#i;s esa½ 22 24 26 28 30 32 34 36 38 40
ek¡x ¼Vu esa½ 60 58 58 50 48 48 48 42 36 32
OR /
vFkok
Find out the coefficient of correlation between x and
y by the method of Rank difference :
x 22 24 27 35 21 20 27 25 27 23
y 30 38 40 50 38 25 38 36 41 32
dksfV vUrj dh fof/k }kjk x ,oa y ds chp lglEcU/k xq.kkad
Kkr dhft, %
x 22 24 27 35 21 20 27 25 27 23
y 30 38 40 50 38 25 38 36 41 32
UNIT-V / bdkbZ-V
5.
Find out Fisher's Ideal Index number from the
following data :
Commodity
Base Year Price (per unit)
Total Expenditure (in Rs.)
Current Year Price (per unit)
Total Expenditure (in Rs.)
Here Quantity =
KN-106/1000
A
2
40
5
75
B
4
16
8
40
Total Expenditure
Price
( 6 )
C
1
10
2
24
D
5
25
10
60
fuEu vk¡dM+ksa ls fQ'kj vkn'kZ lwpdkad Kkr dhft, %
oLrq
vk/kkj o"kZ ewY;¼izfr bdkbZ½
dqy O;; ¼#- easa½
pkyw o"kZ ewY; ¼izfr bdkbZ½
dqy O;; ¼#- easa½
ek=k ¾
;gk¡
A B
C D
2
1
4
5
40 16 10 25
5
8
2 10
75 40 24 60
dqy O;;
ewY;
OR /
vFkok
Calculate the five yearly moving average for the
following time-series. Show the Original point and
Trend value in Graph paper also :
Year
Price
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
55
52
49
53
54
60
57
55
57
61
65
64
61
59
65
KN-106/1000
( 7 )
[P.T.O.]
fuEu dky Js.kh ds fy, iapo"khZ; py ek/; Kkr dhft, rFkk
ewy fcUnqvksa rFkk miufr ewY;ksa dks xzkQ isij ij vafdr dhft,%
o"kZ
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
ewY;
55
52
49
53
54
60
57
55
57
61
65
64
61
59
65
----x----
KN-106/1000
( 8 )