Page 125 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

bdkbZ—8% fo"kerk ,oa i`Fkq'kh"kZRo % dkyZ fi;lZu] ckmys] oSQyh dh fof/;k¡

gy (Solution): uksV
n'kedksa dk ifjdyu
(Computation of Deciles)

vkdkj Group–A Group–B
(Size) (f ) (c.f.) (f ) (c.f.)

102 10 10 15 15
104 16 26 22 37
106 24 50 55 92
108 22 72 26 118
110 50 122 18 136
112 15 137 20 156
114 12 149 3 159

;ksx N = 149 N = 159
GROUP–A
N + 1 150
D = Size of 10 = 10 = 15th item
1
∴ D = 104
1
9(N + 1) 9 × 150
D = Size of 10 = 10 = 135th item
9
∴ D = 112
9
N + 1 150
M= D = = = 75th item ∴ M = D = 110
50 2 2 50
D + D − 2 M 104 + 112 − ( 2 × 10)
J = 1 9 =
K D − D 1 112 − 104
9
216 − 220 − 4
= = = – 0.5
8 8
GROUP–B
N + 1 159 + 1
D = Size of = = 16th item ∴ D = 104
1 10 10 1
9(N + 1) 9 × 160 1440
D = Size of 10 = 10 = 10 = 144th item ∴ D = 112
9
9
N + 1 159 + 1
M= D = Size of 2 = 2 = 80th item ∴ M = 106
50
+
D + D − 2 M 104 112 − 2 106)
× (
J K = 1 D − 9 D 1 = 112 104
−
9
216 − 212 4
= = = + 0.5
8 8
nksuksa lewgksa esa fo"kerk dh ek=kk leku gSA ijUrq A lewg esa Í.kkRed vkSj B lewg esa /ukRed fo"kerk gSA

LOVELY PROFESSIONAL UNIVERSITY 119