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bdkbZµ27% osaQnzh; izo`fÙk dh eki% ekè;] ekfè;dk] cgqyd
uksV
10 5 (10 × 5) ¾ 50
11 5 (11 × 5) ¾ 55
12 1 (12 × 1) ¾ 12
13 1 (13 × 1) ¾ 13
oqQy ;ksx åf ¾ 735 åfx ¾ 2166
∑ fx
lekUrj ekè; (M) dk lw=k ¾
∑ f
;gk¡ ifjokjksa dh oqQy la[;k (å f) ¾ 735
bu ifjokjksa esa iSnk gq, cPpksa dh oqQy la[;k (å fx) ¾ 2166
∑ fx
\ M =
∑ f
2166
¾ ¾ 2-9 vFkkZr~ 3 cPps
735
vr% izfr ifjokj iSnk gq, cPpksa dh la[;k dk lekUrj ekè; ¾ 3 cPpsA
(c) laf{kIr fof/ (Shor-cut Method)µlaf{kIr fof/ }kjk lekUrj ekè; fudkyus osQ fy,
fuEufyf[kr pj.k gksrs gSaµ
(d) loZizFke [kf.Mr Jsf.k;ksa (discrete series) esa ls fdlh Hkh ,d in dks dfYir ekè; ekudj
in ewY;ksa dk ml dfYir ekè; ls fopyu (deviation) ekywe fd;k tkrk gSA
([k) rRi'pkr~ izR;sd vko`fÙk ls mlls lEcfU/r fopyu dks xq.kk djosQ lHkh xq.kuiQyksa osQ ;ksx dks
ekywe fd;k tkrk gSA
(x) bl izdkj izkIr ;ksx dks vko`fÙk osQ ;ksx ls Hkkx nsdj yfC/ dks Kkr fd;k tkrk gSA bl miyfC/
dks dfYir ekè; esa tksM+ fn;k tkrk gSA
(?k) ;gh tksM+ lekarj ekè; gksrk gSA
;fn dfYir ekè; dks A, vko`fÙk;ksa osQ ;ksx dks n, vko`fÙk (f) o fopyu (d) osQ xq.kuiQyksa osQ ;ksx
dks åfd eku fy;k tk, rks mijksDr laf{kIr fof/ dks ,d lw=k osQ :i esa ge bl izdkj fy[k ldrs
gSaµ
∑ fx
M = A +
n
vxj vko`fÙk;ksa osQ ;ksx dks laosQrk{kj n osQ LFkku ij åf osQ :i esa n'kkZ;sa rks lw=k bl izdkj
gksxkµ
∑ fd
M = A +
∑ f
vko`fÙk o fopyu osQ xq.kuiQyksa dk ;ksx
vFkkZr~ ekè; ¾ dfYir ekè; $ ¾¾¾¾¾¾¾¾¾¾¾¾¾¾¾¾¾
vko`fÙk;ksa dk ;ksx
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