Page 119 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

bdkbZ—8% fo"kerk ,oa i`Fkq'kh"kZRo % dkyZ fi;lZu] ckmys] oSQyh dh fof/;k¡

uksV

X=M=Z X>M>Z Z >M> X
Q –M=M–Q 1 Q –M>M–Q 1 M–Q >Q –M
3
1
3
3
a
b
c
() fo"kerk dk vHkko () /ukRed fo"kerk () Í.kkRed fo"kerk
fp=k % 8-1
(b) Í.kkRed fo"kerk (Negative Skewness)μ;fn oØ nkfguh vksj osQ ctk; ck;ha vksj vf/d
>qdk gqvk gks rks fo"kerk Í.kkRed gksrh gS (nsf[k, fp=k&C)A ,sls caVu esa lekUrj ekè; dk
ewY; eè;dk ls de vkSj eè;dk dk ewY; cgqyd ls de gksrk gSA blh izdkj] eè;dk o r`rh;
prqFkZd dk vUrj (Q – M) eè;dk vkSj izFke prqFkZd osQ vUrj (M – Q ) ls de gksrk gSA
3
1
lefer rFkk vlefer caVu dks uhps rhu mnkgj.k ysdj lkj.kh }kjk Hkh Li"V fd;k x;k gSA
fo"kerk osQ fofHkUu Lo:iμrqyukRed vè;;u
vkdkj caVu A caVu B caVu C
(Size) f fX f fX f fX

10 7 70 2 20 2 20
11 8 88 12 132 4 44
12 9 108 10 120 5 60
13 10 130 7 91 6 78
14 9 126 6 84 10 140
15 8 120 5 75 12 180
16 7 112 2 32 7 112

;ksx N = 58 ΣfX = 754 N = 44 ΣfX = 554 N = 46 ΣfX = 634
ekè;&ewY; X = 13, M = 13, X = 12.6, M = 12, X = 13.8, M = 14,
Z = 13 Z = 10 Z = 15

ekè;ksa dk Øe X = M = Z X > M > Z X < M < Z
foHkktu ewY; (Q – M) = (M – Q ) (Q – M) > (M – Q ) (Q – M) < (M – Q )
3
1
3
1
1
3
fo"kerk fo"kerk dk vHkko /ukRed fo"kerk Í.kkRed fo"kerk
oØ ?k.Vkdkj ;k izklkekU; nkfguh vksj >qdko ck;ha vksj >qdko
fo"kerk dh tk¡p (Test of Skewness)μfdlh caVu ;k leadekyk eas fo"kerk dh tk¡p fuEu vk/kj ij dh
tkrh gSμ
(1) ekè;ksa dk lEcU/μ;fn caVu esa lekUrj ekè;] eè;dk rFkk cgqyd osQ ewY; cjkcj ugha gSa rks mleas
fo"kerk gksrh gSA fo"ke caVu esa ekè; vkSj cgqyd dkiQh nwjh ij gksrs gSa vkSj eè;dk izk;% muosQ chp
fLFkr gksrk gSA ekè; vkSj cgqyd esa ftruk vf/d vUrj gksrk gS fo"kerk dh ek=kk mruh gh vf/d
gksxhA

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