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bdkbZ—3% vk¡dM+ksa dk oxhZdj.k ,oa lkj.kh;u % vko`fÙk ,oa lap;h vko`fÙk forj.k




                                                                                                      uksV
            mi;qZDr leadksa dh lgk;rk ls viothZ rFkk lekos'kh jhfr }kjk 3-3 dk oxZ&foLrkj ysrs gq;s lrr vko`fÙk forj.k
            rS;kj dhft;sA
            gy (Solution): loZizFke leadksa dks vkjksgh Øe esa foU;kflr fd;k tk;sxkA
              7    8    8     9    9    10   10   11    11   12    12   12   13    13   13
             13   14   14    15   16    16   16   16    17   17    18   19   20    20   21
            vc 3 dk oxZ&foLrkj (i) ysdj oxkZUrjksa dh jpuk dh tk;sxhμ

                           viothZ rFkk lekos'kh jhfr }kjk lrr vko`fÙk caVu dh jpuk

                           viothZ jhfr                             lekos'kh jhfr
               Weights       Tallies         f          Weights       Tallies      f
                 6–9           |||           3            7–9           ||||       5
                9–12           |||| |        6           10–12         |||| ||     7

                12–15         |||| ||||      9           13–15         |||| ||     7
                15–18         |||| ||        7           16–18         |||| ||     7
                18–21          ||||          4           19–21          ||||       4
                21–24           |            1           22–24          —          0

                                     N or Σf = 30                              N or Σf = 30

            Åij lekos'kh jhfr osQ dkWye esa osQoy ik¡p oxkZUrj gh rS;kj fd;s tk;saxs] D;ksafd vfUre oxZ dh vko`fÙk 'kwU;
                                     ---
            gSA gk¡! ;fn oxZ&lhek;sa 6-8, 8-11,  j[kh tk;sa] rc 6 oxZ rS;kj gksaxs vkSj mudh vko`fÙk;k¡ Øe'k% 3, 6, 9, 7,
            4 o 1 gksaxhA

            3-6 lk/kj.k vFkok lap;h vko`fÙk Ük`a[kyk (Ordinary or Cumulative Frequency
                Series)


            lap;h vko`fÙk  Ük`a[kyk (Cumulative Frequency Series) igys okys lewg esa ;k vxys lewg esa bdkb;k¡ tksM+dj
            cukbZ tkrh gSA ;g fofHkUu lewgksa dh vko`fÙk;ksa dk ;ksx gSA ;g  Ük`a[kyk ;k rks (i) ¶ls de¸ (Less than) vFkok
            (ii) ¶ls vf/d¸ (More than) osQ :i esa rS;kj dh tkrh gSA mijksDr mnkgj.k ysdj ge nksuksa izdkj dh lap;h
            vko`fÙk;ksa dh  Ük`a[kyk fuEufyf[kr :i ls rS;kj dj ldrs gSaμ
                    ¶ls de¸ lap;h vko`fÙk rkfydk (Less than Cumulative Frequency Table)

                          izkIr vad          feyku js[kk;sa     fon~;kfFkZ;ksa dh la[;k
                       (Marks Obtained)       (Tally-Bars)        (No. of Students)

                         250 ls de                ||                   02
                           300 ’’ ’’             |||| |||              08
                           350 ’’ ’’            |||| |||| ||||         15
                           400 ’’ ’’          |||| |||| |||| ||||      20
                           450 ’’ ’’         |||| |||| |||| |||| ||||  25





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