Page 66 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

vFkZ'kkL=k esa lkaf[;dh; fof/;k¡

uksV izR;{k jhfr (Direct Method) – (i) loZ izFke] oxks± osQ eè;&ewY; Kkr fd;s tkrs gSaA
(ii) fiQj] eè;&ewY;ksa dks mudh vko`fÙk;ksa ls xq.kk djosQ xq.kuiQyksa dk tksM+ (ΣfX) izkIr dj fy;k tkrk gSA

(iii) vUr esa] fuEu lw=k dk iz;ksx fd;k tkrk gSμ
ΣfX
X =
N

y?kq jhfr (Short-cut Method)μ (i) lcls igys fdlh eè;&ewy dks dfYir ekè; (A) eku fy;k
tkrk gSA
(ii) fiQj] izR;sd eè;&ewy (X) esa ls dfYir ekè; ?kVkdj fopyu (dx) Kkr fd;s tkrs gSa vkSj mudh rRlaoknh
vko`fÙk;ksa ls xq.kk djosQ xq.kuiQyksa dk tksM+ (Σfdx) izkIr dj fy;k tkrk gSA
(iii) vUr esa] fuEu lw=k dk iz;ksx fd;k tkrk gSμ

Σfdx
=X + A
N
mnkgj.k (Illustration) 3:

fuEu lkj.kh ls lekUrj ekè; dhft,μ
oxZ 0-10 10-20 20-30 30-40 40-50 50-60
vo`fÙk: 12 18 27 20 17 6
lekUrjekè; dk ifjdyu (Calculation of Arithmetic Meam)

oxZ eè;&eku vko`fÙk y?kq jhfr izR;{k jhfr
A = 25 ls fopyu xq.kuiQy
(X) (M.V.) (f) (dx) (fdx) (fx)
0-10 5 12 –20 –240 60
10-20 15 18 –10 –180 270
20-30 25 27 0 0 675
30-40 35 20 +10 +200 700
40-50 45 17 +20 +340 765
50-60 55 6 +30 +180 330
Total N = 100 Σfdx = 300 ΣfX = 2800

y?kq jhfrμ izR;{k jhfrμ

Σfdx Σfx
X = A + X =
N N
300 2800
+
= 25 + = 25 3 =
100 100
∴ X = 25 + 3 = 28 ∴ X = 28

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