Page 68 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

vFkZ'kkL=k esa lkaf[;dh; fof/;k¡

uksV
(3) lekos'kh oxkZUrj (Inclusive Class Intervals)μ tc oxkZUrj lekos'kh vk/j ij fn;s x;s gksa rks
lekUrj ekè; fudkyus osQ fy;s mUgsa viothZ cukus dh dksbZ vko';drk ugha gksrh] D;ksafd eè;&ewY; ogh jgrs
gSa Hkys gh oxks± dk lek;kstu fd;k tk;s ;k u fd;k tk;sA
(4) vleku oxkZUrj (Unequal class Intervals)μ tc oxkZUrj vleku gksa rks mUgsa leku ckuks osQ fy;s
vko`fÙk;ksa osQ lek;kstu dh dksbZ vko';drk ugha gksrh cfYd ,sls iz'u dks mlosQ ewy :i esa gh gy dj nsuk
pkfg;sA
mnkgj.k (Illustration) 5: fuEu leadksa dk eè;d Kkr dhft,μ
mez (o"kZ): 18&21 22&25 26&35 36&45 46&55
O;fDr;ksa dk la[;k : 8 32 54 36 20
gy (Solution): Calculation of Arithmetic Mean

mez M.P. vko`fÙk dx = X–30.5 fdx
18–21 19.5 8 –11 –88
21–25 23.5 32 –7 –224
26–35 30.5 54 0 0
36–45 40.5 36 +10 +360
46–55 50.5 20 +20 +400
N = 150 Σfdx = 448
Σfdx 448
+
= A + X = 30 5+ . = 30 5 299 = . 3349
.
.
N 150
vr% eè;d vk;q = 33-49 o"kZ
(5) [kqys fljs okys oxkZUrj (Open-end Classses)μ tc oxkZUrj [kqys flj okys fn;s gq, gksa rks fl¼kUr
:i esa] ,sls iz'uksa ;k forj.kksa esa lekUrj ekè; dk iz;ksx ugha fd;k tkuk pkfg, cfYd mlosQ LFkku ij cgqyd
rFkk eè;d dk bLrseku djuk pkfg,A
gk¡! ;fn mDr iz'u dk lekUrj ekè; gh fudykus osQ fy;s dgk x;k gS rc ,slh n'kk esa fuEu nks fLFkfr;ksa dks
è;ku esa j[kuk gksxkμ

(i)tc oxks± dk oxZ&foLrkj leku gksμ ,slh fLFkfr esa igys oxZ dh ^mQijh lhek* esa vkSj vafre&oxZ dh fupyh
lhek* esa] muosQ fudVre oxks± osQ oxZ&foLrkj dks Øe'k% ?kVkdj rFkk tksM+dj vKkr lhekvksa dk fuèkkZj.k dj
ysuk pkfg,A

(ii) tc oxks± dk oxZ&foLrkj vleku gksμuhps fn, mnkgj.k esa oxZ&foLrkj vleku gS% nwljs oxZ dk oxZ&foLrkj
20 gS] rhljs dk 30 vkSj pkSFks dk
40 gS vFkkZr~ oxZ&foLrkj Øe'k% 10 ls c<+ jgk gSA vr% ,slh fLFkfr esa izFke oxZ dh fupyh lhek 'kwU;
(10&10) gksxh vkSj vafre oxZ dh mQijh lhek 150 (100+50) gksxh vFkkZr~ izFke oxZ 0&10 rFkk vafre oxZ
100&150 gksxkA
Marks: Below 10 10–30 30–60 60–100 Above 100
No. of Students: 5 9 16 7 3

(6) pkfyZ;j dh 'kq¼rk dh tk¡p (Charlier's Check for Accuracy)μ y?kq&jhfr ;k in&fopyu jhfr
}kjk lekUrj ekè; fudkyrs le; x.kuk&fØ;k dh 'kq¼rk dh tk¡p djkus osQ fy, ^pkfyZ;j tk¡p* dk iz;ksx

62 LOVELY PROFESSIONAL UNIVERSITY