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bdkbZµ27% osaQnzh; izo`fÙk dh eki% ekè;] ekfè;dk] cgqyd

izR;{k fof/ }kjk lekUrj ekè; (M) dk lw=kµ uksV
∑ fx ∑ fx
M = vFkok M =
∑ n ∑ n
5185
¾
66
¾ 79-77

vr% vkSlr lkIrkfgd etnwjh ¾ 79-77 #i,

laf{kIr fofèk (Short-Cut Method or Step Deviation Method)µ;g laf{kIr fofèk Hkh [kafMr Jsf.k;ksa dk
ekè; fudkyus osQ fy, iz;ksx dh tkus okyh laf{kIr fofèk osQ gh leku gS] osQOky blesa Hkh oxk±rjksa dk eè;eku

fudky fn;k tkrk gSA vr% bl laf{kIr fofèk dks ge bl izdkj izLrqr dj ldrs gSaµ

(d) izR;sd oxk±rj (Class interval) dk eè;eku (x) Kkr dhft,A ;g eè;eku fdlh oxk±rj dh mPprj
lhek rFkk fuEurj lhek osQ ;ksx dk vkèkk gksxkA

([k) fdlh oxk±rj osQ eè;eku dks dfYir ekè; (A) eku yhft,A ij ,slk djrs le; nks ckrksa dk è;ku

jf[k,µizFke rks ;g fd og dfYir ekè; ml oxk±rj dk eè;eku gks ftldh ckjackjrk vFkkZr~ vko`fÙk
(frequency) lcls vfèkd gks vkSj f}rh; og dfYir ekè; ml oxkZ±rj dk eè;eku gks tks fn, gq,

oxk±rjksa osQ yxHkx ekè; esa gksaA

(x) izR;sd oxk±rj (Class interval) osQ eè;eku (x) rFkk dfYir ekè; (A) dk varj (x–A) Kkr dhft,
vFkkZr~ dfYir ekè; ls oxk±rj osQ eè;ekuksa dk fopu (d) ekywe djuk gksxkA

(?k) rRi'pkr~ izR;sd vko`fÙk (f) ls mlls lacafèkr fopyu (d) dks xq.kk djosQ lHkh xq.kuiQyksa (fd) osQ ;ksx

(Sfd) dks ekywe dhft,A

(Ä) bl izdkj izkIr ;ksx (Sfd) dks vko`fÙk;ksa osQ ;ksx (Sf vFkkZr~ n) ls Hkkx nsdj yfCèk Kkr dhft,A bl
yfCèk dks dfYir ekè; (A) osQ lkFk tksM+ nhft,A

(p) ;gh tksM+ lekukarj ekè; gksxkA

blh fofèk dks ;fn lw=k }kjk izn£'kr fd;k tk, rks og bl izdkj gksxkµ
∑ fd ∑ f d
M = A + , vFkok A + ∑
N f

mnkgj.k 6- mnkgj.k 5 esa fn, x, iz'u dks è;ku esa j[krs gq,] laf{kIr fofèk }kjk lkekarj ekè; Kkr dhft,A

gyµizLrqr iz'u dks Åij crk, x, fofèk osQ vuqlkj gy djus osQ fy, gesa mnkgj.k 5 dh lkj.kh dks bl :i
esa izLrqr djuk gksxkµ

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