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Mathématiques de base Exemples
1010 , 1111 , 1212 , 1212 , 1313 , 1313 , 1313 , 1414 , 1414 , 1414 , 1515 , 1515 , 1515 , 1515 , 1515 , 1616 , 1616 , 1616 , 1717 , 1717 , 1717 , 1717 , 1818 , 1818 , 2525
Étape 1
La moyenne d’un ensemble de nombres est la somme divisée par le nombre de termes.
‾x=10+11+12+12+13+13+13+14+14+14+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525¯x=10+11+12+12+13+13+13+14+14+14+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525
Étape 2
Étape 2.1
Additionnez 1010 et 1111.
‾x=21+12+12+13+13+13+14+14+14+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525¯x=21+12+12+13+13+13+14+14+14+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525
Étape 2.2
Additionnez 2121 et 1212.
‾x=33+12+13+13+13+14+14+14+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525¯x=33+12+13+13+13+14+14+14+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525
Étape 2.3
Additionnez 3333 et 1212.
‾x=45+13+13+13+14+14+14+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525¯x=45+13+13+13+14+14+14+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525
Étape 2.4
Additionnez 4545 et 1313.
‾x=58+13+13+14+14+14+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525¯x=58+13+13+14+14+14+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525
Étape 2.5
Additionnez 5858 et 1313.
‾x=71+13+14+14+14+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525¯x=71+13+14+14+14+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525
Étape 2.6
Additionnez 7171 et 1313.
‾x=84+14+14+14+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525¯x=84+14+14+14+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525
Étape 2.7
Additionnez 8484 et 1414.
‾x=98+14+14+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525¯x=98+14+14+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525
Étape 2.8
Additionnez 9898 et 1414.
‾x=112+14+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525¯x=112+14+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525
Étape 2.9
Additionnez 112112 et 1414.
‾x=126+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525¯x=126+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525
Étape 2.10
Additionnez 126126 et 1515.
‾x=141+15+15+15+15+16+16+16+17+17+17+17+18+18+2525¯x=141+15+15+15+15+16+16+16+17+17+17+17+18+18+2525
Étape 2.11
Additionnez 141141 et 1515.
‾x=156+15+15+15+16+16+16+17+17+17+17+18+18+2525¯x=156+15+15+15+16+16+16+17+17+17+17+18+18+2525
Étape 2.12
Additionnez 156156 et 1515.
‾x=171+15+15+16+16+16+17+17+17+17+18+18+2525¯x=171+15+15+16+16+16+17+17+17+17+18+18+2525
Étape 2.13
Additionnez 171171 et 1515.
‾x=186+15+16+16+16+17+17+17+17+18+18+2525¯x=186+15+16+16+16+17+17+17+17+18+18+2525
Étape 2.14
Additionnez 186186 et 1515.
‾x=201+16+16+16+17+17+17+17+18+18+2525¯x=201+16+16+16+17+17+17+17+18+18+2525
Étape 2.15
Additionnez 201201 et 1616.
‾x=217+16+16+17+17+17+17+18+18+2525¯x=217+16+16+17+17+17+17+18+18+2525
Étape 2.16
Additionnez 217217 et 1616.
‾x=233+16+17+17+17+17+18+18+2525¯x=233+16+17+17+17+17+18+18+2525
Étape 2.17
Additionnez 233233 et 1616.
‾x=249+17+17+17+17+18+18+2525¯x=249+17+17+17+17+18+18+2525
Étape 2.18
Additionnez 249249 et 1717.
‾x=266+17+17+17+18+18+2525¯x=266+17+17+17+18+18+2525
Étape 2.19
Additionnez 266266 et 1717.
‾x=283+17+17+18+18+2525¯x=283+17+17+18+18+2525
Étape 2.20
Additionnez 283283 et 1717.
‾x=300+17+18+18+2525¯x=300+17+18+18+2525
Étape 2.21
Additionnez 300300 et 1717.
‾x=317+18+18+2525¯x=317+18+18+2525
Étape 2.22
Additionnez 317317 et 1818.
‾x=335+18+2525¯x=335+18+2525
Étape 2.23
Additionnez 335335 et 1818.
‾x=353+2525¯x=353+2525
Étape 2.24
Additionnez 353353 et 2525.
‾x=37825
‾x=37825
Étape 3
Divisez.
‾x=15.12
Étape 4
La moyenne devrait être arrondie à une décimale de plus que les données d’origine. Si les données d’origine étaient mélangées, arrondissez à une décimale de plus que la moins précise.
‾x=15.1
Étape 5
Définissez la formule de la variance. La variance d’un ensemble de valeurs est une mesure de la dispersion de ses valeurs.
s2=n∑i=1(xi-xavg)2n-1
Étape 6
Définissez la formule de la variance pour cet ensemble de nombres.
s=(10-15.1)2+(11-15.1)2+(12-15.1)2+(12-15.1)2+(13-15.1)2+(13-15.1)2+(13-15.1)2+(14-15.1)2+(14-15.1)2+(14-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7
Étape 7.1
Simplifiez le numérateur.
Étape 7.1.1
Soustrayez 15.1 de 10.
s=(-5.1)2+(11-15.1)2+(12-15.1)2+(12-15.1)2+(13-15.1)2+(13-15.1)2+(13-15.1)2+(14-15.1)2+(14-15.1)2+(14-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.2
Élevez -5.1 à la puissance 2.
s=26.01+(11-15.1)2+(12-15.1)2+(12-15.1)2+(13-15.1)2+(13-15.1)2+(13-15.1)2+(14-15.1)2+(14-15.1)2+(14-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.3
Soustrayez 15.1 de 11.
s=26.01+(-4.1)2+(12-15.1)2+(12-15.1)2+(13-15.1)2+(13-15.1)2+(13-15.1)2+(14-15.1)2+(14-15.1)2+(14-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.4
Élevez -4.1 à la puissance 2.
s=26.01+16.81+(12-15.1)2+(12-15.1)2+(13-15.1)2+(13-15.1)2+(13-15.1)2+(14-15.1)2+(14-15.1)2+(14-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.5
Soustrayez 15.1 de 12.
s=26.01+16.81+(-3.1)2+(12-15.1)2+(13-15.1)2+(13-15.1)2+(13-15.1)2+(14-15.1)2+(14-15.1)2+(14-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.6
Élevez -3.1 à la puissance 2.
s=26.01+16.81+9.61+(12-15.1)2+(13-15.1)2+(13-15.1)2+(13-15.1)2+(14-15.1)2+(14-15.1)2+(14-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.7
Soustrayez 15.1 de 12.
s=26.01+16.81+9.61+(-3.1)2+(13-15.1)2+(13-15.1)2+(13-15.1)2+(14-15.1)2+(14-15.1)2+(14-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.8
Élevez -3.1 à la puissance 2.
s=26.01+16.81+9.61+9.61+(13-15.1)2+(13-15.1)2+(13-15.1)2+(14-15.1)2+(14-15.1)2+(14-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.9
Soustrayez 15.1 de 13.
s=26.01+16.81+9.61+9.61+(-2.1)2+(13-15.1)2+(13-15.1)2+(14-15.1)2+(14-15.1)2+(14-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.10
Élevez -2.1 à la puissance 2.
s=26.01+16.81+9.61+9.61+4.41+(13-15.1)2+(13-15.1)2+(14-15.1)2+(14-15.1)2+(14-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.11
Soustrayez 15.1 de 13.
s=26.01+16.81+9.61+9.61+4.41+(-2.1)2+(13-15.1)2+(14-15.1)2+(14-15.1)2+(14-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.12
Élevez -2.1 à la puissance 2.
s=26.01+16.81+9.61+9.61+4.41+4.41+(13-15.1)2+(14-15.1)2+(14-15.1)2+(14-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.13
Soustrayez 15.1 de 13.
s=26.01+16.81+9.61+9.61+4.41+4.41+(-2.1)2+(14-15.1)2+(14-15.1)2+(14-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.14
Élevez -2.1 à la puissance 2.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+(14-15.1)2+(14-15.1)2+(14-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.15
Soustrayez 15.1 de 14.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+(-1.1)2+(14-15.1)2+(14-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.16
Élevez -1.1 à la puissance 2.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+(14-15.1)2+(14-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.17
Soustrayez 15.1 de 14.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+(-1.1)2+(14-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.18
Élevez -1.1 à la puissance 2.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+(14-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.19
Soustrayez 15.1 de 14.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+(-1.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.20
Élevez -1.1 à la puissance 2.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.21
Soustrayez 15.1 de 15.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+(-0.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.22
Élevez -0.1 à la puissance 2.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+(15-15.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.23
Soustrayez 15.1 de 15.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+(-0.1)2+(15-15.1)2+(15-15.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.24
Élevez -0.1 à la puissance 2.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+(15-15.1)2+(15-15.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.25
Soustrayez 15.1 de 15.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+(-0.1)2+(15-15.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.26
Élevez -0.1 à la puissance 2.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+(15-15.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.27
Soustrayez 15.1 de 15.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+(-0.1)2+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.28
Élevez -0.1 à la puissance 2.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+(15-15.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.29
Soustrayez 15.1 de 15.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+(-0.1)2+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.30
Élevez -0.1 à la puissance 2.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+0.01+(16-15.1)2+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.31
Soustrayez 15.1 de 16.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+0.01+0.92+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.32
Élevez 0.9 à la puissance 2.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+0.01+0.81+(16-15.1)2+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.33
Soustrayez 15.1 de 16.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+0.01+0.81+0.92+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.34
Élevez 0.9 à la puissance 2.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+0.01+0.81+0.81+(16-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.35
Soustrayez 15.1 de 16.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+0.01+0.81+0.81+0.92+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.36
Élevez 0.9 à la puissance 2.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+0.01+0.81+0.81+0.81+(17-15.1)2+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.37
Soustrayez 15.1 de 17.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+0.01+0.81+0.81+0.81+1.92+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.38
Élevez 1.9 à la puissance 2.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+0.01+0.81+0.81+0.81+3.61+(17-15.1)2+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.39
Soustrayez 15.1 de 17.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+0.01+0.81+0.81+0.81+3.61+1.92+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.40
Élevez 1.9 à la puissance 2.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+0.01+0.81+0.81+0.81+3.61+3.61+(17-15.1)2+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.41
Soustrayez 15.1 de 17.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+0.01+0.81+0.81+0.81+3.61+3.61+1.92+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.42
Élevez 1.9 à la puissance 2.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+0.01+0.81+0.81+0.81+3.61+3.61+3.61+(17-15.1)2+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.43
Soustrayez 15.1 de 17.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+0.01+0.81+0.81+0.81+3.61+3.61+3.61+1.92+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.44
Élevez 1.9 à la puissance 2.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+0.01+0.81+0.81+0.81+3.61+3.61+3.61+3.61+(18-15.1)2+(18-15.1)2+(25-15.1)225-1
Étape 7.1.45
Soustrayez 15.1 de 18.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+0.01+0.81+0.81+0.81+3.61+3.61+3.61+3.61+2.92+(18-15.1)2+(25-15.1)225-1
Étape 7.1.46
Élevez 2.9 à la puissance 2.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+0.01+0.81+0.81+0.81+3.61+3.61+3.61+3.61+8.41+(18-15.1)2+(25-15.1)225-1
Étape 7.1.47
Soustrayez 15.1 de 18.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+0.01+0.81+0.81+0.81+3.61+3.61+3.61+3.61+8.41+2.92+(25-15.1)225-1
Étape 7.1.48
Élevez 2.9 à la puissance 2.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+0.01+0.81+0.81+0.81+3.61+3.61+3.61+3.61+8.41+8.41+(25-15.1)225-1
Étape 7.1.49
Soustrayez 15.1 de 25.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+0.01+0.81+0.81+0.81+3.61+3.61+3.61+3.61+8.41+8.41+9.9225-1
Étape 7.1.50
Élevez 9.9 à la puissance 2.
s=26.01+16.81+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+0.01+0.81+0.81+0.81+3.61+3.61+3.61+3.61+8.41+8.41+98.0125-1
Étape 7.1.51
Additionnez 26.01 et 16.81.
s=42.82+9.61+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+0.01+0.81+0.81+0.81+3.61+3.61+3.61+3.61+8.41+8.41+98.0125-1
Étape 7.1.52
Additionnez 42.82 et 9.61.
s=52.43+9.61+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+0.01+0.81+0.81+0.81+3.61+3.61+3.61+3.61+8.41+8.41+98.0125-1
Étape 7.1.53
Additionnez 52.43 et 9.61.
s=62.04+4.41+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+0.01+0.81+0.81+0.81+3.61+3.61+3.61+3.61+8.41+8.41+98.0125-1
Étape 7.1.54
Additionnez 62.04 et 4.41.
s=66.45+4.41+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+0.01+0.81+0.81+0.81+3.61+3.61+3.61+3.61+8.41+8.41+98.0125-1
Étape 7.1.55
Additionnez 66.45 et 4.41.
s=70.86+4.41+1.21+1.21+1.21+0.01+0.01+0.01+0.01+0.01+0.81+0.81+0.81+3.61+3.61+3.61+3.61+8.41+8.41+98.0125-1
Étape 7.1.56
Additionnez 70.86 et 4.41.
s=75.27+1.21+1.21+1.21+0.01+0.01+0.01+0.01+0.01+0.81+0.81+0.81+3.61+3.61+3.61+3.61+8.41+8.41+98.0125-1
Étape 7.1.57
Additionnez 75.27 et 1.21.
s=76.48+1.21+1.21+0.01+0.01+0.01+0.01+0.01+0.81+0.81+0.81+3.61+3.61+3.61+3.61+8.41+8.41+98.0125-1
Étape 7.1.58
Additionnez 76.48 et 1.21.
s=77.69+1.21+0.01+0.01+0.01+0.01+0.01+0.81+0.81+0.81+3.61+3.61+3.61+3.61+8.41+8.41+98.0125-1
Étape 7.1.59
Additionnez 77.69 et 1.21.
s=78.9+0.01+0.01+0.01+0.01+0.01+0.81+0.81+0.81+3.61+3.61+3.61+3.61+8.41+8.41+98.0125-1
Étape 7.1.60
Additionnez 78.9 et 0.01.
s=78.91+0.01+0.01+0.01+0.01+0.81+0.81+0.81+3.61+3.61+3.61+3.61+8.41+8.41+98.0125-1
Étape 7.1.61
Additionnez 78.91 et 0.01.
s=78.92+0.01+0.01+0.01+0.81+0.81+0.81+3.61+3.61+3.61+3.61+8.41+8.41+98.0125-1
Étape 7.1.62
Additionnez 78.92 et 0.01.
s=78.93+0.01+0.01+0.81+0.81+0.81+3.61+3.61+3.61+3.61+8.41+8.41+98.0125-1
Étape 7.1.63
Additionnez 78.93 et 0.01.
s=78.94+0.01+0.81+0.81+0.81+3.61+3.61+3.61+3.61+8.41+8.41+98.0125-1
Étape 7.1.64
Additionnez 78.94 et 0.01.
s=78.95+0.81+0.81+0.81+3.61+3.61+3.61+3.61+8.41+8.41+98.0125-1
Étape 7.1.65
Additionnez 78.95 et 0.81.
s=79.76+0.81+0.81+3.61+3.61+3.61+3.61+8.41+8.41+98.0125-1
Étape 7.1.66
Additionnez 79.76 et 0.81.
s=80.57+0.81+3.61+3.61+3.61+3.61+8.41+8.41+98.0125-1
Étape 7.1.67
Additionnez 80.57 et 0.81.
s=81.38+3.61+3.61+3.61+3.61+8.41+8.41+98.0125-1
Étape 7.1.68
Additionnez 81.38 et 3.61.
s=84.99+3.61+3.61+3.61+8.41+8.41+98.0125-1
Étape 7.1.69
Additionnez 84.99 et 3.61.
s=88.6+3.61+3.61+8.41+8.41+98.0125-1
Étape 7.1.70
Additionnez 88.6 et 3.61.
s=92.21+3.61+8.41+8.41+98.0125-1
Étape 7.1.71
Additionnez 92.21 et 3.61.
s=95.82+8.41+8.41+98.0125-1
Étape 7.1.72
Additionnez 95.82 et 8.41.
s=104.23+8.41+98.0125-1
Étape 7.1.73
Additionnez 104.23 et 8.41.
s=112.64+98.0125-1
Étape 7.1.74
Additionnez 112.64 et 98.01.
s=210.6525-1
s=210.6525-1
Étape 7.2
Simplifiez l’expression.
Étape 7.2.1
Soustrayez 1 de 25.
s=210.6524
Étape 7.2.2
Divisez 210.65 par 24.
s=8.77708‾3
s=8.77708‾3
s=8.77708‾3
Étape 8
Approximez le résultat.
s2≈8.7771