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



          27-2  lkaf[;dh; ekè; (Statistical Average)                                                uksV

          ekè; dk vFkZ (Meaning of Average)

          loZJh ?kks"k vkSj  pkS/jh  (Ghosh and Chaudhry) osQ vuqlkj] ¶ekè; ,d ,slh vosQyh ljy
          vfHkO;fDr gS ftlesa ,d tfVy lewg vFkok fo'kky la[;kvksa dk okLrfod ifj.kke ;k lkj osQfUnzr gSA¸

          Jh ,ygkUl (Elhance) osQ erkuqlkj] ¶;g Li"V gS fd ,d ,slh la[;k ftldk fd iz;ksx lEiw.kZ Jsf.k;ksa
          dk izfrfuf/Ro djus osQ fy, fd;k tkrk gS og Js.kh esa u rks U;wure ewY; j[krh gS vkSj u gh mPpre
          ewY;] vfirq og ewY; rks bu nksuksa lhekvksa osQ chp dk ,d ewY; gksrk gS vkSj lEHkor% bl ewY; dh
          fLFkfr og osQUnz gksrk gS tgk¡ Jsf.k;ksa dh vf/dka'k bdkb;k¡ ,df=kr gks tkrh gSaA ,sls vad osQUnzh; izo`fÙk
          dk eki vFkok ekè; dgykrs gSaA¸
          mijksDr ifjHkk"kkvksa ls ;g Li"V gS fd ekè; lEiw.kZ Jsf.k;ksa dk izfrfuf/Ro djus okyk vkSj osQUnzh;
          ewY; dks izxV djus okyk ,d vad gksrk gS tks fd mu Jsf.k;ksa osQ U;wure ,oa vf/dre ewY; osQ
          chp dh ,d fLFkfr esa gksrk gSA bl izdkj ekè; dks ns[kdj gh lEiw.kZ Jsf.k;ksa dh osQUnzh; fo'ks"krk
          ;k ewY; dk irk yxkuk gekjs fy, ljy gksrk gSA bl vFkZ esa ekè; fo'kky la[;kvksa dk laf{kIrhdj.k
          djus dk ,d lk/u cu tkrk gSA

          ekè;ksa dh mi;ksfxrk ,oa mn~ns'; (Utility and Objectives of Averages)

          lkekftd vuqlU/ku esa rF;ksa dh foospuk] fo'ys"k.k ;k fu"d"khZdj.k esa ekè;ksa dh mi;ksfxrk mYys[kuh;
          gSA fuEufyf[kr foospuk ls ekè;ksa dh mi;ksfxrk ,oa mís'; vkSj Hkh Li"V gks tk;saxsµ
           (1) ekè;ksa dk loZizFke mís'; tfVy Jsf.k;ksa rFkk vadksa dh Jsf.k;ksa dk laf{kIrhdj.k djuk gSA ekè;
                osQ }kjk fc[kjs gq, fofHkUu xq.kksa okys rF;ksa dks laf{kIr :i iznku fd;k tk ldrk gSA vadksa
                osQ <sjksa ls oqQN Hkh irk ugha pyrk] ij ekè; ,d vad esa gksrs gq, Hkh vadksa osQ <sjksa osQ osQUnzh;
                xq.k ;k ewY; dks izxV djrk gSA
           (2) ekè;ksa dk ,d vkSj mís'; ;k mi;ksfxrk ;g gS fd blosQ }kjk rF;ksa dh rqyuk vR;fèkd ljy
                gks tkrh gSA vusd vadksa okyh Jsf.k;ksa dh rqyuk cgqr dfBu gksrh gS ijUrq ;fn mUgsa ,d vad
                dk :i iznku dj fn;k tk, rks rqyuk dk dke Lor% gh ljy gks tkrk gSA okLro esa tfVy
                o fo'kky la[;kvksa dh rqyuk djus osQ mís'; ls gh ekè; fudkys tkrs gSaA

           (3) tSlk fd loZJh ?kks"k rFkk pkS/jh us fy[kk gS fd fo'kky lewg dk ,d laf{kIr fp=k iznf'kZr
                djuk gS ftlls fo'ys"k.k dk dke gekjs fy, ljy gks tk,A okLrfodrk rks ;g gS fd fo'kky
                lewg dk ,d laf{kIr :i izxV djosQ fo'ys"k.k o O;k[;k osQ dk;Z dks ljy cukuk ekè; dk
                ,d mYys[kuh; mís'; gSA
           (4) ekè; osQ }kjk vadksa dh nks ;k vf/d Jsf.k;ksa dk lewgksa osQ chp ik;s tkus okys lEcUèkksa rFkk
                vuqikr dk vuqeku yxk;k tkrk gSA oSKkfud fo'ys"k.k o O;k[;k osQ fy, bl izdkj osQ lacaèkksa
                o vuqikr dh tkudkjh vko';d gksrh gSA ekè; bl dk;Z esa gekjh enn djrk gSA
           (5) ekè;ksa dh ,d mi;ksfxrk ;g Hkh gS fd ;s gekjs vè;;u&dk;Z dks laf{kIr cukus esa lgk;d
                fl¼ gks ldrs gSaA ,d leqnk; dh lexz bdkb;ksa dk vè;;u gekjs fy, lEHko ugha gksrk vkSj
                blhfy, ge fun'kZu&iz.kkyh (Sampling Method) osQ }kjk oqQN bdkb;ksa ls lEcfU/r rF;ksa dks
                ,df=kr djrs gSaA bu rF;ksa dks vkSj vkxs laf{kIr djus osQ fy, ekè;ksa dk mi;ksx fd;k tk ldrk
                gSA bl izdkj fun'kZu rF;ksa dh lgk;rk ls ekè; lEiw.kZ lewgksa dk fp=k mifLFkr djus esa lgk;d
                gksrs gSaA






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