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Exercice 17

                           xi   xi 2   (xi − x)2
                           1     1         4
                           2     4         1
                           3     9         0
                           4    16         1
                           5    25         4

    (a) Moments simples d’ordre 1 et 2

                                        xi    15
                         m1 = x =          =       =3
                                       N       5
                                  xi 2     55
                         m2 =          =      = 11
                                 N         5
                                 (xi − x)2       10
                         µ2 =                 =     =2
                                    N             5
Exercice 17 (suite..)
    (b) On vérifie la relation :

                                  µ2 = m2 − m1 2
                                    = 11 − 32
                                    =2

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Ch25 17

  • 1. Exercice 17 xi xi 2 (xi − x)2 1 1 4 2 4 1 3 9 0 4 16 1 5 25 4 (a) Moments simples d’ordre 1 et 2 xi 15 m1 = x = = =3 N 5 xi 2 55 m2 = = = 11 N 5 (xi − x)2 10 µ2 = = =2 N 5
  • 2. Exercice 17 (suite..) (b) On vérifie la relation : µ2 = m2 − m1 2 = 11 − 32 =2