Page 139 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

bdkbZ—9% lglacaèk% ifjHkk"kk] izdkj ,oa vFkZ'kkfL=k;ksa dh iz;qDr fof/;k¡

mnkgj.k (Illustration) 2: dkyZ fi;lZu osQ lw=k }kjk ifr;ksa ,oa ifRu;ksa dh mez esa lglEcU/ xq.kkad Kkr uksV
dhft,μ
ifr;ksa dh mez : 20 25 30 35 40 45 50 55 60
ifRu;ksa dh mez : 16 20 23 25 33 38 46 50 55
gy (Solution):
dkyZ fi;lZu osQ lg&lEcU/ xq.kkad dh x.kuk

Ages of X = 40 dx 2 Age of Y = 34 dy 2 dxdy
Husbands dx = (X – X ) Wives dy = (Y – Y )
X Y
20 – 20 400 16 – 18 324 360
25 – 15 225 20 – 14 196 210
30 – 10 100 23 – 11 121 110
35 – 5 25 25 – 9 81 45
40 0 0 33 – 1 1 0
45 5 25 38 + 4 16 20
50 10 100 46 + 12 144 120
55 15 225 50 + 16 256 240
60 20 400 55 + 21 441 420

ΣX = 360 1500 ΣY = 306 1580 1525
N = 9 Σdx 2 N = 9 Σdy 2 Σdxdy

ΣX 360
x Js.kh dk vadxf.krh; ekè; X = = = 40
N 9
ΣY 306
y Js.kh dk vadxf.krh; ekè; Y = = = 34
N 9
Σdx 2 1500
x Js.kh dk izeki fopyu σ = N = 9 = 12.91
x

Σdy 2 1580
y Js.kh dk izeki fopyu σ = = = 13.25
y N 9
lglEcU/ xq.kkad
Σdxdy
izFke lw=kμ r =
N. σ x . σ y

1525 1525
= =
9. (12.91 )(13.25 ) 1539.55
= + .99
Σdxdy
f}rh; lw=k osQ vuqlkj r = 2 2
N . Σ . Σdx dy
N N

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