Page 96 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

vFkZ'kkL=k esa lkaf[;dh; fof/;k¡

uksV ∴ (11 – 15) is the P class ∴ (36 – 40) is the P class
10
90
i i
P = l + (P – C) P = l + (P – C)
10 f 10 90 f 90
5 5
= 10.5 + (10 – 7) = 35.5 + (90 – 88)
15 5
5 × 3 5 × 2
= 10.5 + = 10.5 + 1.0 = 35.5 + = 35.5 + 2.0
15 5
P = 11.5 P = 37.5
10 90
(i) vUrj&prqFkZd foLrkj (IQR) = Q – Q = 27.00 – 16.25
3 1
IQR = 10.75

(ii) 'kred foLrkj (PR) = P – P = 37.5 – 11.5
90 10
PR = 26
vr% eè;orhZ 50% fo|k£Fk;ksa osQ izkIrkadksa dk foLrkj = 10.75

eè;orhZ 80% fo|k£Fk;ksa osQ izkIrkadksa dk foLrkj = 26

foLrkj] vUrj&prqFkZd vkSj 'kred foLrkj vifdj.k Kkr djus dh lhek jhfr;k¡ (methods
of limit) gSaA

6-5 prqFkZd fopyu (Quartile Deviation)

prqFkZd fopyu Hkh Js.kh osQ prqFkZd ewY;ksa ij vk/kfjr vifdj.k dh ,d eki gSA r`rh; prqFkZd ,oa izFke
prqFkZd osQ vUrj osQ vk/s dks prqFkZd fopyu (Quartile Deviation) ;k v¼Z vUrj&prqFkZd foLrkj (Semi

Inter Quartile Range) dgrs gSaA prqFkZd fopyu Kkr djus osQ fy, fuEu lw=k dk iz;ksx fd;k tkrk gSμ
Q − Q
Q. D. = 3 1
2
,d lefer Js.kh esa eè;dk (M) nksuksa prqFkZdksa (Q o Q ) ls leku nwjh ij fLFkj gksrk gSA vr% ;fn
1 3
QD dk eku Q esa tksM+ fn;k tk, vkSj Q esa ls ?kVk fn;k tk;s rks izkIr eku eè;dk gksxk vFkkZr~
1 3
Q + QD = Q – QD = M
1 3
ijUrq Jsf.k;k¡ vf/drj lefer u gksdj lk/kj.kr% vlefer gksrh gSa] muesa ;g vUrj leku ugha gksrk cfYd
vUrj dh ek=kk ftruh vf/d gksrh gS Js.kh izlkekU;rk ls mruh gh nwj gks tkrh gS vFkkZr~ vifdj.k c<+us
yxrk gSA
prqFkZd fopyu xq.kkad (Coefficient of Quartile Deviation)μprqFkZd fopyu vifdj.k dh fujis{k eki
gSA fofHkUu Jsf.k;ksa osQ prqFkZd fopyu dh rqyuk djus osQ fy, bldk lkis{k eki fudkyk tkrk gSA ;g
lkis{k eki] prqFkZd fopyu xq.kkad dgykrk gSA bls Kkr djus osQ fy, prqFkZd fopyu osQ fujis{k eki
dks nksuksa prqFkZdksa osQ ekè; ls Hkkx ns fn;k tkrk gSA bldk fuEu lw=k gSμ

90 LOVELY PROFESSIONAL UNIVERSITY