Page 64 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

vFkZ'kkL=k esa lkaf[;dh; fof/;k¡

uksV gy (Solution): Calculation of Arithmetic Mean

Øekad izR;{k jhfr y?kq jhfr
dfYir ekè; 200 ls fopyu
S.No. X X–A dx
1 96 (96–200) –104
2 180 (180–200) –20
3 98 (98–200) –102
4 75 (75–200) –125
5 270 (270–200) + 70
6 80 (80–200) –120
7 102 (102–200) –98
8 100 (100–200) –100
9 94 (94–200) –106
10 75 (75–200) –125
11 200 (200–200) –0
12 610 (610–200) +410
N = 12 ΣX = 1980 Σdx = – 420

Σdx
y?kq jhfrμ X = A + N

− 420
= 200 +
12
= 200 – 35 = 165
ΣX
izR;{k jhfrμ X =
N
1980
= = 165
12

(B) [kf.Mr Js.kh esa lekUrj ekè; dh x.kuk (Discrete Series)

(1) izR;{k jhfr (Direct Method)μ (i) loZizFke izR;sd ewY; (X) dh vko`fÙk (f) ls xq.k dh tkrh gS vFkkZr~
(X × f )A

(ii) fiQj] bu xq.kkvksa ds ;ksx (Σfx) dks oqQy bdkb;ksa dh la[;k ls Hkkx ns fn;k tkrk gSA
(iii) izR;{k jhfr ds vuqlkj lw=k bl izdkj gSμ

vko`fÙk Js.kh esa vko`fÙk;ksa dk tksM+ gh oqQy bdkb;ksa dh la[;k gksrh gS vFkkZr~ N = Σf A

(2) y?kq jhfr (Short-cut Method)μ (i) loZizFke fn;s gq, ewY;ksa esa fdlh ,d dks dfYir&ekè; eku fy;k
tkrk gSA

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