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bdkbZµ28% fopyu dh eki % ekud fopyu
ifjlj (Range) uksV
fdlh Js.kh ;k inekyk osQ mPpre rFkk fuEure inksa osQ vUrj dks ifjlj dgrs gSaA mnkgj.kkFkZ] ;fn
fdlh lewg esa 17] 10] 13] 5] 8] 20 vkSj 25 vad gSa rks mPpre in vFkkZr~ 25 vkSj fuEure in
vFkkZr~ 5 dk vUrj (25µ5)¾20 vad bl Js.kh dk ifjlj gSA
ifjlj dh viuh mi;ksfxrk,a gSa] tSls (1) fdlh Js.kh ls mldk izlkj cgqr gh 'kh?kzrk ls Kkr fd;k
tk ldrk gSA osQoy mPpre o U;wure vadksa dks gh <w¡<+uk iM+rk gSA (2) izlkj osQ vk/kj ij ;g
tkuk tk ldrk gS fd Js.kh osQ inewY; fdu&fdu vadksa osQ chp iSQys gq, gSaA bruk gksrs gq, Hkh ifjlj
dk iz;ksx 'kh?kzrk o ljyrk dh n`f"V ls rks fd;k tk ldrk gS] ijUrq ifj.kke dh 'kq¼rk blls izkIr
ugha dh tk ldrhA blhfy;s ifjlj dks fopyu&ekiu dk ,d eksVk (crude or rough) lk/u le>k
tkrk gSA lkFk gh] ifjlj ij Js.kh esa fo|eku cgqr cM+s ;k cgqr NksVs vad (eku) dk vR;fèkd izHkko
iM+rk gSA
28-2 prqFkk±'kh; fopyu (Quartile Deviation)
nh gqbZ py (variable) jkf'k osQ N ekuksa dks ;fn vkjksgh (ascending) vFkok vojksgh (descending) Øe
N + 1
esa j[k fn;k tk;s rks Js.kh osQ osa in osQ eku dks izFke prqFkk±'kh; eku Q (first quartile),
1
4
(N + 1) (N + 1)
2 osa in osQ eku dks f}rh; prqFkk±'kh; eku (Q ) vFkok eè;kad rFkk 3 osa in osQ eku dks
4 2 4
r`rh; prqFkk±'kh; eku (Q ) dgrs gSaA izFke rFkk r`rh; prqFkk±'kh; ekuksa osQ varj dk vkèkk pqrFkk±'kh; fopyu
3
(Quartile Deviation) gksrk gS ftls fd fuEu lw=k }kjk izn£'kr fd;k tk ldrk gSµ
Q − Q
prqFkk±'kh; fopyu = 3 1
2
mnkgj.k 1- fuEufyf[kr izkIrkadksa dk prqFkk±'kh; fopyu Kkr dhft;sµ
10] 17] 12] 28] 24] 22] 15] 30] 35] 38] 20
gyµizkIrkadksa dks vkjksgh Øe ls j[kus ijµ
10] 12] 15] 17] 20] 22] 24] 28] 30] 35] 38
pw¡fd mijksDr izkIrkadksa osQ 11 in gSa blfy;s ;gk¡ N = 11
+
11 1
\ Q = osa in dk eku
3
4
=3 osa in dk eku
vFkkZr~ Q =15
1
+
3(11 1)
rFkk Q = osa in dk eku
2
4
3 × 12
= osa in dk eku
4
=9 osa in dk eku
LOVELY PROFESSIONAL UNIVERSITY 259