Page 312 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

vFkZ'kkL=k esa lkaf[;dh; fof/;k¡

,
uksV ΣIV 7 818
thou&fuokZg&O;; funsZ'kkad = = = 78.18
ΣV 100
vr% 100 – 78.18 = 21.82
⇒ thou fuokZg&O;; vkadM+ksa esa 21-82 izfr'kr dh deh vk x;hA

mnkgj.k (Illustration) 9: ,d vkSlr Hkkjrh; etnwj osQ ikfjokfjd ctV ls lEcfU/r lewg funsZ'kkad rFkk
muosQ Hkkj fuEu lkj.kh esa n'kkZ;s x;s gSaA Hkkfjr funsZ'kkad fudkfy, %
en (Groups) funsZ'kkad (Index No.) Hkkj (Weight)

[kk| inkFkZ (Food) 350 48

b±/u ,oa jks'kuh (Fuel and Lighting) 220 10
diM+k (Clothing) 230 8
fdjk;k (Rent) 160 12
fofo/ (Misc.) 190 22

gy (Solution)

oxZ funsZ'kkad] I Hkkj] W IW
[kk| inkFkZ 350 48 16,800
b±/u ,oa jks'kuh 220 10 2,200
diM+k 230 8 1,840

fdjk;k 160 12 1,920
fofo/ 190 22 4,180
;ksx ΣW = 100 ΣIW = 26,940

,
ΣIW 26 940
thou&fuokZg&O;; funsZ'kkad = = = 269.4
ΣW 100
fofHkUu lewgkas osQ lwpdkad laxr Hkkj osQ lkFk fn, gksus ij thou&fuokZg&O;; funsZ'kkad Kkr djuk
(To Find cost of Living Index Numbers when Index Numbers of various groups are known with
their weights)
ekuk I = lewg funsZ'kkad]
V ;k W = lewg osQ laxr Hkkj

rc lekUrj ekè; dk iz;ksx djrs gq,] thou&fuokZg&O;; funsZ'kkad
ΣIV ΣIW
P = ΣV ;k ΣW
01
fVIi.khμ(1) ;fn xq.kksÙkj ekè; dk iz;ksx fd;k tk;s rks
L
ΣW log lO
P = Antilog M N ΣW Q P
01
(2) tc dhersa p , p rFkk Hkkj W fn;s gksrs gSa rks igys ge
1
0
p 1
R ;k I = p 0 × 100

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