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lkekftd 'kks/ dh i¼fr



                  uksV          s = ekud fopyu
                                f = inksa dh vko`fÙk;k¡
                                d = izR;sd oxk±rj osQ eè; ¯cnq (x) ls lekarj ekè; dk varj vFkkZr~ (x – M) tgk¡ x izR;sd oxk±rj (Class
                                   Interval) dk eè; ¯cnq gSA

                                N = vko`fÙk;ksa dk oqQy ;ksx
                                (ii)  laf{kIr fofèk dk lw=k

                                                            ∑  fd  2   ∑  fd   2
                                                                   s = i   −    
                                                              N       N 

                                bl lw=k dks vkSj vfèkd ljy djus ij bldk :i bl izdkj Hkh gks ldrk gSµ
                                                          i         2        2
                                                     s =     N ∑  f d −  (∑  f  ) d
                                                         N
                                mijksDr lw=k esa

                                s = ekud fopyu
                                t = oxZ foLrkj
                                f = inksa dh vko`fÙk;k¡
                                d = izR;sd oxk±rj osQ eè; ¯cnq (x) ls lekarj ekè; dk varj vFkkZr~ (x – M) tgk¡ x izR;sd oxkZUrj (Class
                                interval) dk eè; ¯cnq gSA

                                ekud fopyu Kkr djus osQ fy;s bu lw=kksa osQ iz;ksx dks vkSj vfèkd Li"V djus osQ fy;s ge ;gk¡ izR;sd izdkj
                                dh Js.kh dk mnkgj.k ysaxsA

                                (v)  ljy Js.kh  (Simple Series)


                                      mnkgj.k 4- fuEufyf[kr izkIrkadksa dk ekud fopyu Kkr dhft,µ

                                         10] 12] 14] 16] 18] 20] 22] 24] 26] 28] 30] 32

                                gyµizR;{k fofèk ls bl iz'u dks bl izdkj gy fd;k tk;sxkµ
                                        ∑  d  2
                                lw=kµ s =
                                          N

                                                 izkIrkad     ekè; (M) ls fopyu     fopyu dk oxZ
                                                                                           2
                                                   (X)         (d) ;gk¡ ekè;  = 21       (d )
                                                   10                –11                 121
                                                   12                –9                  81
                                                   14                –7                  49
                                                   16                –5                  25
                                                   18                –3                  9
                                                   20                –1                  1
                                                   22                +1                  1



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