Page 98 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

vFkZ'kkL=k esa lkaf[;dh; fof/;k¡

uksV prqFkZdksa dk ifjdyuμ

eè;eku oxkZUrj vko`fÙk lap;h vko`fÙk
1 .5—1.5 2 2
2 1.5—2.5 9 11
3 2.5—3.5 11 22
4 3.5—4.5 14 36
5 4.5—5.5 20b 56
6 5.5—6.5 24 80
7 6.5—7.5 20 100
8 7.5—8.5 16 116
9 8.5—9.5 5 121
10 9.5—10.5 2 123
N = 123
N 3N
Q = Size of th item Q = Size of th item
1 4 3 4
123 3 × 123
th
th
= Size of = 30.75 item = Size of = 92.25 item
4 4
∴ (3.5 – 4.5) Q oxZ gSA ∴ (6.5 – 7.5) Q oxZ gSA
1 3
i i
Q = l + (q – C) Q = l + (q – C)
1 f 1 3 f 3
1 1
= 3.5 + (30.75 – 22) = 6.5 + (92.25) – 80)
14 20
8.74 12.25
= 3.5 + = 3.5 + .625 = 6.5 + = 6.5 + .6125
14 20
Q = 4.125 Q = 7.1125
1 3
Q − Q
vifdj.k dk prqFkZd xq.kkad = 3 1
Q + Q 1
3
7.1125 − 4.1250
=
7.1125 + 4.1250
2.9875
= = 0.27
11.2375
vr% prqFkZd fopyu xq.kkad = 0.27

prqFkZd fopyu osQ xq.k (Merits of Quartile Deviation)
1. ljyrkμbldk x.ku ,oa le>uk cgqr vklku gSA

2. pje ewY;ksa dk U;wure izHkkoμvifdj.k dh bl eki ij pje ewY;ksa dk cgqr de izHkko iM+rk
gSA
3. eè; Hkkx dk vifdj.kμ;g eki ogk¡ mi;ksxh gksrh gS tgk¡ Js.kh osQ eè; osQ vk/s Hkkx dk
vè;;u djuk gksA

92 LOVELY PROFESSIONAL UNIVERSITY