Page 295 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

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gy (Solution). bl iz'u esa oLrqvksa osQ ^ewY;* rFkk ^oqQy O;;* fn, x, gSa tcfd ^ek=kk,¡* ugha nh x;haA vr% uksV
ek=kk fudkyus osQ fy, oqQy O;; dks ewY; ls Hkkx fn;k tk,xkA Lej.k jgs] gesa ek=kkvksa dk lwpdkad fudkyuk
gS] vr% laosQrk{kjksa esa Hkh vUrj djuk gksxkA
fiQ'kj jhfr }kjk ek=kk dk lwpdkad (Quantity Index)

oLrq,¡ p q p q q p p p q p q p
0 0 1 1 1 0 0 0 1 1 0 1
A 5 10 4 12 60 50 48 40
B 8 6 7 7 56 48 49 42
C 6 3 5 4 24 18 20 15
Total 140 116 117 97

Σqp Σqp 140 117
Q = 10 × 11 × 100 = × × 100
01 Σqp 0 Σqp 1 116 97
0
0
= 1.4557 × 100 = 1.2065 × 100 ∴ Q = 120.65
01
lwpdkadksa osQ vU; lw=k (Other Formulate for Index Numbers)—

fiQ'kj egksn; osQ vykok oqQN vU; lkaf[;dksa us Hkh lwpdkad jpuk osQ fofHkUu lw=k izfrikfnr fd, gSa ftuesa
ls oqQN izeq[k lw=k bl izdkj gSaμ
(i) ykLis;j lw=k (Laspeyre Formula)
Σpq
P = 10 × 100
01 Σpq
00
(ii) ik'ks lw=k (Pasche Formula)
Σpq
P = 11 × 100
01 Σpq
01
(iii) Mªksfc'k o ckmQys lw=k (Drobisch and Bowley’s Formula)
1 Σpq
01 M L 1 0 Σpq O P
11
P = + × 100
01Q
N
2 Σpq Σpq
00
(iv) ek'kZy&,toFkZ lw=k (Marshall-Edgeworth Formula)
Σ(q + q ) p
P = 0 1 1 × 100
01 Σ(q + q 1 ) p 0
0
(v) okY'k lw=k (Walsh Formula)
(
Σ qq p )
0
1 1
P = × 100
(
01 Σ qq p )
1 0
0
(vi) oSQyh lw=k (Kelly Formula)
Σpq
P = 1 × 100
01 Σpq
0

le; mRØkEirk ijh{k.k dk lw=k fyf[k,A

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