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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




            ckn nwljh la[;k ysrs gSa] tksfd 32 gSA blosQ fy;s 32 lkbt osQ lkeus ,d ^ckj* [khap nh tk;sxhA ;gh fØ;k  uksV
            vU; lHkh inksa osQ fy;s nksgjk;h tk;sxhA vUr esa VSyh&ckj dk vyx&vyx ;ksx fd;k tkrk gSa ;gh in&ewY;ksa
            dh vko`fÙk;k¡ gSaA rkfydk ls Li"V gS fd lkbt 29 dh vko`fÙk 2 gS] lkbt 30 dh vko`fÙk 4 gS vkSj oqQy
            vko`fÙk;ksa dk ;ksx 30 gS] tksfd dehtksa dh oqQy la[;k (N) osQ cjkcj gSA

                  deht dk lkbt                 feyku&js[kk;sa               vko`fÙk
                    (lseh- esa)                (Tally-bars)               (frequency)
                       29                          ||                         2
                       30                          ||||                       4
                       31                          ||                         2
                       32                          ||||                       5
                       33                          |||                        3
                       34                         |||| ||                     7
                       35                          ||||                       4
                       36                          |||                        3


                                                  ;ksx                       30
            uksVμgk¡! VSyh&ckj yxkrs le;] tc dksbZ ewY; pkj ckj vk tkrk gS rks mlosQ ik¡poha ckj vkus (occurrence)

            ij] ge igyh pkj feyku&js[kkvksa dks ,d frjNh ckj (Cross tally mark) }kjk dkV nsrs gSa] ftlesa gesa 5 dk
            ,d lewg ;k [k.M (block) izkIr gks tkrk gSA ;|fi bldk dksbZ lS¼kfUrd egRo ugha gS] fdUrq inksa dh la[;k
            vfèkd gksus ij bl fØ;k ls] feyku&js[kkvksa dh x.kuk djus esa dkiQh lqfoèkk gks tkrh gSA
            (ii) lrr ;k v[kf.Mr vko`fÙk forj.k  (Continuous frequency distribution)μ;g vko`fÙk forj.k
            oxkZUrjksa osQ vuqlkj oxhZd.k ij vkèkkfjr gS vkSj bldh jpuk lrr pjksa dh lgk;rk ls dh tkrh gSA lcls igys
            pj&ewY;ksa dks vkjksgh ;k vojksgh Øe esa ltk;k tkrk gSA fiQj] lcls NksVs rFkk lcls cM+s in ewY; osQ vUrj
            (range) dks] mi;qDr la[;k osQ leku oxks± ;k oxkZUrjksa esa foHkkftr dj fn;k tkrk gSA blosQ ckn feyku&js[kkvksa
            dh lgk;rk ls izR;sd oxZ esa iM+us okyh bdkb;ksa dh la[;k vFkkZr~ vko`fÙk Kkr dj yh tkrh gSA vko`fÙk forj.k
            dh jpuk fuEu mnkgj.k ls Li"V dh x;h gSA
            mnkgj.k (Illustration) 2: fdlh dkj[kkus esa dk;Zjr~ 40 Jfedksa dh nSfud vk; (#- esa) fuEufyf[kr gSμ
                25     34      26      38      32      31     36      42      30      34
                20     35      35      39      40      28     33      39      40      29
                35     30      30      41      35      39     27      22      43      28
                38     34      32      32      25      30     31      29      38      44

            mi;qZDr vk¡dM+ksa ls ,d oxhZÑr ckjEckjrk oaVu lkj.kh cukb;s] ftldk izkjEHk 20-25 ls gks vkSj oxZ&vUrjky
            ges'kk 5 jgsA
            (Solution): pw¡fd iz'u esa izFke&oxkZUrj 20-25 vkSj oxZ&foLrkj 5 j[kus osQ fy;s dgk x;k gSa vr% mlh osQ
            vuqlkj oxkZUrj rS;kj fd;s tk;saxsμ











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