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lkekftd 'kks/ dh i¼fr



                  uksV          (2) blosQ i'pkr~ izFke vko`fÙk dks NksM+dj nwljh ckj fiQj nks&nks osQ tksM+s ysdj mlosQ ;ksx dks
                                      dkye 3 esa fy[kk tk;sxkA tSls mijksDr lkj.kh esa izFke vko`fÙk 4 gS] rks mls NksM+dj vkxs dh
                                      vko`fÙk;ksa dk nks&nks dk tksM+k vFkkZr~~ 2  + 5 = 7 vkfn dkye 3 esa fy[ksaxsA blesa Hkh ;fn
                                      var esa tksM+k ugha x;k rks mls NksM+ nsaxsA
                                (3) mlosQ ckn vko`fÙk;ksa osQ rhu&rhu osQ tksM+s ysdj mudk ;ksx dkye 4 esa fy[ksaxs] tSls 4  +
                                      7 + 3  = 14] 2  + 5  + 9  = 16 bR;kfnA ,slk djrs gq, ;fn var esa rhu dk tksM+k ugha
                                      curk] vFkkZr~ vko`fÙk osQoy ,d ;k nks gh jg tkrh gS] rks mls NksM+ fn;k tk;sxkA
                                (4) blosQ ckn izFke vko`fÙk dks NksM+dj fiQj rhu&rhu osQ tksM+s ysdj mldk ;ksx dkye 5 esa fy[kk
                                      tk;sxk tSls 7 + 3 + 2 = 12 vkfnA blesa Hkh ;fn var esa rhu&rhu dk tksM+k ugha curk gS]
                                      rks mls NksM+ fn;k tk;sxkA
                                (5) blosQ ckn izFke nks vko`fÙk;ksa dks NksM+dj rhljh ckj fiQj rhu&rhu osQ tksM+s ysdj mlosQ ;ksx
                                      dks dkye 6 esa fy[kk tk;sxk tSls 3 + 2 + 5 = 10] 9 + 8 + 3 = 20 vkfnA blesa Hkh
                                      ;fn var esa rhu&rhu dk tksM+k u cu ik;s rks mls NksM+ nsaxsA
                                (6) rRi'pkr~ fo'ys"k.k djrs le; dkye 1 ls dkye 6 rd dh vko`fÙk;ksa dks è;ku esa j[kuk gksxkA
                                      dkye 1 esa tks vko`fÙk lcls vfèkd gksxh] fo'ys"k.k djrs le; dkye 7 esa mlosQ lkeus ,d
                                      fu'kku yxk;saxsA mnkgj.kkFkZ] dkye 1 esa 9 vko`fÙk lcls vfèkd gS] vr% 9 osQ lkeus dkye
                                      7 esa ,d fu'kku yxk;saxsA blosQ ckn dkye 2] 3] 4] 5] 6 esa ftu vko`fÙk;ksa dk ;ksx lcls
                                      vfèkd gksxk vkSj og tksM+ dkye 1 esa fn;s x;s ftu vko`fÙk;ksa osQ lkeus dkye 7 esa ,d&,d
                                      fu'kku yxk;saxsA mnkgj.kkFkZ] dkye 2 esa ;ksx 14 lcls vfèkd gS vkSj ;g ;ksx dkye 1 osQ
                                      5 vkSj 9 dk gS] blfy;s 5 vkSj 9 osQ vkxs dkye 7 esa ,d&,d fu'kku yxk;saxsA mlh izdkj
                                      dkye 3 esa ;ksx 17 lcls vfèkd gS vkSj ;g ;ksx dkye 1 osQ 9 vkSj 8 dk gS] blfy;s 9
                                      vkSj 8 osQ vkxs dkye 7 esa ,d&,d fu'kku yxk;k tk;sxkA
                                (7) bl izdkj fo'Yks"k.k djus osQ i'pkr~ dkye 7 esa ftl vko`fÙk osQ lkeus vfèkd fu'kku gksaxs]
                                      mldk tks in&ewY; ;k eku (Value) gksxk] ogh gekjk cgqyd gksxkA mnkgj.kkFkZ] mijksDr lkj.kh
                                      esa fo'ys"k.k okys dkWye esa lokZfèkd 6 fu'kku 9 vko`fÙk osQ lkeus yxk;s x;s gSaA vr% 9 dk
                                      ewY; tksfd mijksDr lkj.kh esa 35 gS] ogh cgqyd gksxkA

                                v[kf.Mr Js.kh dk cgqyd (Mode of Continuous Series)

                                v[kf.Mr Js.kh dk cgqyd ekywe djus osQ fy;s lcls igys fujh{k.k }kjk ml oxkZUrj (class interval)
                                dk irk yxkuk pkfg;s ftlesa cgqyd fLFkr gSA ;fn cgqyd ,d ls vfèkd gS ;k fujh{k.k }kjk cgqyd
                                dk irk ugha py jgk gS rks mijksDr fofèk] tSlk fd lkj.kh esa fn[kk;k x;k gS] ls cgqyd osQ oxkZUrj
                                dk irk yxkuk pkfg;sA rRi'pkr~ fuEufyf[kr lw=k }kjk cgqyd Kkr djuk pkfg,A
                                                                  f −  f
                                                  Mo   =  L  +        1     ×  i
                                                                2 f −  f −  f
                                                                     1  2
                                bl lw=k esaµ
                                                  Mo   = cgqyd
                                                   L   = cgqyd oxkZUrj dh fuEu lhek

                                                    i  = cgqyd oxkZUrj dh mPpre vkSj fuEure lhekvksa dk varj
                                                    f  = cgqyd oxkZUrj dh vko`fÙk





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