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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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