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vFkZ'kkL=k esa lkaf[;dh; fof/;k¡




                    uksV                                  lrr vko`fÙk forj.k rkfydk dh jpuk

                                          vk; (#- esa)               feyku&js[kk;sa                vko`fÙk
                                             (X)                      (Tally-bars)                  (f)
                                            20–25                         ||                         2
                                            25–30                       |||| |||                     8
                                            30–35                      |||| |||| |||                13
                                            35–40                       |||| |||| |                 11
                                            40–45                        |||| |                      6

                                             ;ksx                        40                         40

                                  O;k[;k (Explanation)μ(i) fn;s x;s leadksa dk igyk ewY; 25 gSA bls 20–25 oxZ osQ ctk; 25–30 oxZ esa
                                  'kkfey fd;k tk;sxk] D;ksafd oxkZUrjksa dh jpuk viothZ jhfr (exclusive method) osQ vuqlkj dh xbZ gSA blh
                                  vkèkkj ij vU; ewY;ksa dk oxhZdj.k fd;k x;k gSA
                                  (ii) pw¡fd lcls cM+k ewY; 44 gS] blfy;s vfUre oxkZUrj 40–45 cuk;k x;k gSA ;fn iz'u esa dksbZ in&ewY;
                                  44 ls cM+k] ekuk 45 ;k 46 fn;k x;k gksrk] rks fiQj gesa ,d vfrfjDr oxkZUrj 45-50 rS;kj djuk iM+rkA
                                  mnkgj.k (Illustration) 3: lkaf[;dh esa 100 esa ls 50 Nk=kksa osQ izkIrkad uhps fn;s x;s gSaμ
                                      70      25      55     36      31      59      42      63     57      39
                                      45      65      60     45      47      49      63      54     53      64
                                      33      75      65     42      39      41      82      52     55      35
                                      64      30      58     35      61      15      65      48     42      26
                                      50      20      52     40      53      55      45      46     45      18
                                  10–10 izkIrkadksa dk oxZ&foLrkj ysrs gq, ,d vko`fÙk forj.k dh jpuk dhft;sA izFke oxkZUrj 0–10 jf[k;sA

                                  gy (Solution): loZ&izFke vO;ofLFkr <ax ls fn;s x, bu leadksa dks vkjksgh Øe esa foU;kflr fd;k tk;sxkA
                                      15      30      36     42      45      49      53      57     63      65
                                      18      31      39     42      45      50      54      58     63      65
                                      20      33      39     42      46      52      55      59     64      70
                                      25      35      40     45      47      52      55      60     64      75
                                      26      35      41     45      48      53      55      61     65      82

                                  pwafd iz'u eas izFke&oxkZUrj 0–10 vkSj oxZ&foLrkj 10 j[kus osQ fy;s dgk x;k gSA vr% mlh osQ vuqlkj oxkZUrj
                                  rS;kj fd;s tk;saxsμ
                                                              lrr vko`fÙk caVu dh jpuk
                                            izkIrkad                   VSyh&ckj                   vko`fÙk
                                             0–10                                                    0
                                            10–20                         ||                         2
                                            20–30                        |||                         3
                                            30–40                       |||| |||                     8
                                            40–50                      |||| |||| |||                13
                                            50–60                      |||| |||| ||                 12
                                            60–70                       |||| ||||                    9
                                            70–80                         ||                         2
                                            80–90                         |                          1
                                             ;ksx                        50                        ΣΣ ΣΣ Σf = 50

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