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Exercice 4 : Pour 8 valeurs de x, 2, 3, 5, 1, 4, 3, 2, 4, calculer
x, m=moyenne(x), (x), (x-m), (x-m), (1/n) (x-m) et (1/n)x - m2
= 2 + 3 + 5 + 1 + 4 + 3 + 2 + 4 = n=8 donc
= 1 = 18 24 =
2 = (24)2 =
( ) = (2 3) + (3 3) + (5 3) + (1 3) + (4 3) + (3 3) + (2 3) + (4 3) ( ) = (1) + (0) + (2) + (2) + (1) + (0) + (1) + (1) =
( )2 = (2 3)2 + (3 3)2 + (5 3)2 + (1 3)2 + (4 3)2 + (3 3)2 + (2 3)2 + (4 3)2 ( )2 = 1 + 0 + 4 + 4 + 1 + 0 + 1 + 1 =
1( )2 = 18 12 = .
Pour 1
2 2
Il faut dabord calculer 2
2 = 2 + 3 + 5 + 1 + 4 + 3 + 2 + 4 = 4 + 9 + 25 + 1 + 16 + 9 + 4 + 16 = 84 1
2 2 = 18 84 32 = 10.5 9 = ,
1,5 est la variance de lchantillon.
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