Page 76 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

vFkZ'kkL=k esa lkaf[;dh; fof/;k¡

uksV cgqyd oxZ dk fu/kZj.k (Location of Modal Group)
vko`fÙk vf/dre vko`fÙk
oxkZUrj nks&nks osQ tksM+ rhu&rhu osQ tksM+ okys oxZ
(i) (ii) (iii) (iv) (v) (vi)

4—8 10 U 22 U U
V
|
8—12 12 W V 28 V 38 U
|
W
12—16 16 U 30 W | V 42 U
U
V
|
|
16—20 14 W V 24 U W V 40 | 1
|
W
W
20—24 10 U 18 U V 32 | ||| 3
|
V
24—28 8 W V 25 W U |||| 5
|
W
28—32 17 U 22 U U V 35 U ||| 3
V
|
|
|
32—36 5 W V 9 V 26 W V 30 | 1
W
|
|
36—40 4 W W | 1
lkj.kh osQ fujh{k.k ls irk pyrk gS fd (12—16) cgqyd oxZ gSA bl oxZ esa cgqyd dk ewY; Kkr djus osQ
fy, fuEu lw=k dk iz;ksx fd;k tk,xkμ
f − f
Z = l + f 2 1 − 1 f − 0 0 f 2 × i
1
16 − 12 4 × 4 16
Z = 12 + × 4 = 12 + = 12 +
2 × 16 − 12 − 14 32 − 36 6
= 12 + 2.67
Mode (Z) = 14.67
nwljs lw=k dk iz;ksx djus ij
Δ Δ
Z= l + Δ 1 + Δ 1 2 × i Z= l − Δ 1 + Δ 1 2 × i
1
2
4 2
= 12 + × 4 = 16 − × 4
4 + 2 4 + 2
4 2 × 4 8
= 12 + × 4 = 16 − = 16 −
6 6 6
Z = 14.67 Z = 14.67
cgqyd lEcU/h Lej.kh fcUnq
(Some memorable points about mode)

1. oSdfYid lw=k dk iz;ksx (Alternative Formula)μtc cgqyd oxZ dh vko`fÙk dh rqyuk esa mlosQ ckn
okyh o igys okyh nksuksa vko`fÙk;k¡ cM+h gksa ;k nksuksa esa ls dksbZ Hkh ,d cM+h gks rks lkekU; lw=k osQ LFkku ij
uhps fn;s x;s oSdfYid lw=k dk iz;ksx djrs gSa vU;Fkk mÙkj cgqyd oxZ osQ ckgj vk;sxk tks fd xyr gSμ
f
Z = l + f + 2 f 2 × i
1
0

70 LOVELY PROFESSIONAL UNIVERSITY