Page 78 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

vFkZ'kkL=k esa lkaf[;dh; fof/;k¡

uksV 3. lekos'kh oxkZUrj (Inclusive Class Intervals)μ;fn oxkZUrj lekos'kh vk/kj ij gS rks lw=k rks ogh jgrk
gS] ijUrq cgqyd Kkr djus ls igys vFkkZr~ vkUrj.kxu djrs le; mUgsa viothZ Js.kh esa cny ysuk pkfg,A ,slk
u djus ij mÙkj xyr gks tk,xkA
mnkgj.k (Illustration) 13: fuEu leadekyk ls cgqyd Kkr dhft,μ

oxZ 1-5 6-10 11-15 16-20 21-25 26-30 31-35 36-40 41-45

vko`fÙk 8 11 17 33 25 19 10 5 2

gy (Solution): fujh{k.k ls Li"V gS fd 16—20 gh cgqyd oxZ gS D;ksafd bldh vko`fÙk vf/dre gSA pw¡fd
;s oxkZUrj lekos'kh gSa vr% bUgsa viothZ esa cnyuk t:jh gSA vkUrjx.ku djrs le; oxZ dh lhek,¡ 15.5-20.5

gksaxhA
f − f
vr% Z= l + 1 0 × l − 2 l 1 l = 15.5
1
1
f 2 1 − f − 0 f 2
33 − 17
= 15.5 + × 5 l = 20.5
2 × 33 − 17 − 25 2
16 × 5
Z = 15.5 + f = 33
24 1
= 15.5 + 3.33 f = 17
0
f = 24
2
cgqyd (Z) = 18.83
4. lap;h vko`fÙk Js.kh ;k caVu esa cgqyd (Mode in case of Cumulative Frequency Series)μ;fn
vko`fÙk caVu lap;h vko`fÙk osQ vk/kj ij cuk gS rks cgqyd Kkr djus osQ fy, igys mls lkekU; vko`fÙk caVu
esa cny ysaxsA
mnkgj.k (Illustration) 14: fuEu Js.kh ls cgqyd Kkr dhft,μ

oxZ vUrjky 0—10 10—20 20—30 30—40 40—50 50—60 60—70

vko`fÙk 4 16 56 97 124 138 140
gy (Solution):

;g ,d lap;h Js.kh gS ftls lkekU; vko`fÙk Js.kh esa cnyk tk,xkA

oxZ 0—10 10—20 20—30 30—40 40—50 50—60 60—70

vko`fÙk 4 12 40 41 27 14 02
fujh{k.k }kjk Li"V gS fd 30—40 gh cgqyd oxZ gS] vr% lw=k esa ewY; j[kus ij
l = 30, f = 41, f = 40, f = 27, i = 0
1 1 0 2
f − f 41 40
−
i
Z= l + f 2 1 − f − 0 f ×= 30 + 2 × 41 40 − 27 × 10
1
−
1
10 0 2
= 30 + = 30 + 0.67
15
Z = 30.67
cgqyd ewY; = 30.67

72 LOVELY PROFESSIONAL UNIVERSITY