Page 106 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

vFkZ'kkL=k esa lkaf[;dh; fof/;k¡

d
uksV ∑|d M | 42 ∑|| 44
X
ekè; fopyu δ = N = 9 δ X = N = 9
M
δ M = 4.6 δ X = 4.89
δ δ X
M
ekè; fopyu xq.kkad (C of δ ) = M ekè; fopyu xq.kkad (C of δ ) = X
X
M
4.67 4.89
= = 0.0934 = = 0.0940
50 52
2. y?kq jhfr (Short-cut Method)μekè; fopyu Kkr djus dh bl fof/ esa fopyu ugha fy;s tkrs gSa
,oa fuEUk izfØ;k viukbZ tkrh gSμ
1. inksa dks vkjksgh (;k vojksgh) Øe esa j[kk tkrk gSA
2. fiQj] ml ekè; fo'ks"k (eè;dk] lekUrj ekè;] cgqyd) dks Kkr fd;k tkrk gS ftlls ekè;
fopyu fudkyuk gSA
3. fiQj blosQ ckn ekè; ewY; ls vf/d (cM+s) ewY;ksa dk ;ksx (∑X ) Kkr djrs gSaA blh izdkj ekè;
A
ewY; ls de (NksVs) ewY;ksa dk ;ksx (∑X ) fudky ysrs gSaA
B
4. fiQj ml ekè; fo'ks"k ls vf/d okys inksa dh la[;k (N ) vkSj de okys inksa dh la[;k (N ) Kkr
A
B
dh tkrh gSA
5. vUr esa fuEu lw=kksa dk iz;ksx fd;k tkrk gSμ
∑ − X ∑ − X ( −N N ) M
eè;dk (M) ls δ = A B A B
M N
∑ − X ∑ X
δ = A N B
M
[(N – N ) = 0 D;ksafd eè;dk Js.kh osQ Bhd osQUnz esa gksrh gS vkSj mlosQ nksuksa vksj osQ
A B
inksa dh la[;k cjkcj gksrh gS vFkkZr~ N = N ]
A
B
∑ − X ∑ − X ( −N N ) X
eè;dk ()X ls] δ = A B A B
X N
∑ − X ∑ − X ( −N N ) Z
cgqyd (Z) ls] δ = A B N A B
Z
∑X o ∑X = Øe'k% ekè; ls ^vf/d* vkSj ^de* okys ewY;ksa osQ ;ksx gSaA
B
A
N o N = Øe'k% ekè; ls vf/d vkSj de okys inksa dh la[;k gSaA
A B
N = inksa dh oqQy la[;k gSA
mnkgj.k (Illustration) 2 : fuEu leadksa ls rhuksa ekè; fopyu vkSj muosQ rRlEcU/h eki lkis{k Kkr
dhft,μ
ewY; % 20, 23, 30, 32, 46, 50, 57, 57, 57, 78
gy (Solution):

ekè; fopyu dk ifjdyu rhuksa ekè;ksa }kjk fuEu izdkj fd;k tk,xkμ
ekè;ksa dk ifjdyu (Calculation of Averages)μ
∑ X 450
lekUrj ekè; X = = = 45
N 10

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