Gib eine Aufgabe ein ...
Grundlegende Mathematik Beispiele
1010 , 11 , 12 , 12 , 13 , 13 , 13 , 14 , 14 , 14 , 15 , 15 , 15 , 15 , 15 , 16 , 16 , 16 , 17 , 17 , 17 , 17 , 18 , 18 , 25
Schritt 1
Der Mittelwert einer Menge von Zahlen ist die Summe dividiert durch die Anzahl der Terme.
‾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
Schritt 2
Schritt 2.1
Addiere 10 und 11.
‾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
Schritt 2.2
Addiere 21 und 12.
‾x=33+12+13+13+13+14+14+14+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525
Schritt 2.3
Addiere 33 und 12.
‾x=45+13+13+13+14+14+14+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525
Schritt 2.4
Addiere 45 und 13.
‾x=58+13+13+14+14+14+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525
Schritt 2.5
Addiere 58 und 13.
‾x=71+13+14+14+14+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525
Schritt 2.6
Addiere 71 und 13.
‾x=84+14+14+14+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525
Schritt 2.7
Addiere 84 und 14.
‾x=98+14+14+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525
Schritt 2.8
Addiere 98 und 14.
‾x=112+14+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525
Schritt 2.9
Addiere 112 und 14.
‾x=126+15+15+15+15+15+16+16+16+17+17+17+17+18+18+2525
Schritt 2.10
Addiere 126 und 15.
‾x=141+15+15+15+15+16+16+16+17+17+17+17+18+18+2525
Schritt 2.11
Addiere 141 und 15.
‾x=156+15+15+15+16+16+16+17+17+17+17+18+18+2525
Schritt 2.12
Addiere 156 und 15.
‾x=171+15+15+16+16+16+17+17+17+17+18+18+2525
Schritt 2.13
Addiere 171 und 15.
‾x=186+15+16+16+16+17+17+17+17+18+18+2525
Schritt 2.14
Addiere 186 und 15.
‾x=201+16+16+16+17+17+17+17+18+18+2525
Schritt 2.15
Addiere 201 und 16.
‾x=217+16+16+17+17+17+17+18+18+2525
Schritt 2.16
Addiere 217 und 16.
‾x=233+16+17+17+17+17+18+18+2525
Schritt 2.17
Addiere 233 und 16.
‾x=249+17+17+17+17+18+18+2525
Schritt 2.18
Addiere 249 und 17.
‾x=266+17+17+17+18+18+2525
Schritt 2.19
Addiere 266 und 17.
‾x=283+17+17+18+18+2525
Schritt 2.20
Addiere 283 und 17.
‾x=300+17+18+18+2525
Schritt 2.21
Addiere 300 und 17.
‾x=317+18+18+2525
Schritt 2.22
Addiere 317 und 18.
‾x=335+18+2525
Schritt 2.23
Addiere 335 und 18.
‾x=353+2525
Schritt 2.24
Addiere 353 und 25.
‾x=37825
‾x=37825
Schritt 3
Teile.
‾x=15.12
Schritt 4
Das Mittel sollte auf eine Dezimalstelle mehr als die ursprünglichen Daten gerundet werden. Wenn die ursprünglichen Daten diesbezüglich inhomogen sind, runde auf eine Dezimalstelle mehr als der Wert mit der geringsten Genauigkeit.
‾x=15.1
Schritt 5
Stelle die Formel für die Varianz auf. Die Varianz einer Menge von Werten is ein Maß für die Streuung ihrer Werte.
s2=n∑i=1(xi-xavg)2n-1
Schritt 6
Stelle die Formel für die Varianz dieser Menge von Zahlen auf.
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
Schritt 7
Schritt 7.1
Vereinfache den Zähler.
Schritt 7.1.1
Subtrahiere 15.1 von 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
Schritt 7.1.2
Potenziere -5.1 mit 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
Schritt 7.1.3
Subtrahiere 15.1 von 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
Schritt 7.1.4
Potenziere -4.1 mit 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
Schritt 7.1.5
Subtrahiere 15.1 von 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
Schritt 7.1.6
Potenziere -3.1 mit 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
Schritt 7.1.7
Subtrahiere 15.1 von 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
Schritt 7.1.8
Potenziere -3.1 mit 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
Schritt 7.1.9
Subtrahiere 15.1 von 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
Schritt 7.1.10
Potenziere -2.1 mit 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
Schritt 7.1.11
Subtrahiere 15.1 von 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
Schritt 7.1.12
Potenziere -2.1 mit 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
Schritt 7.1.13
Subtrahiere 15.1 von 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
Schritt 7.1.14
Potenziere -2.1 mit 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
Schritt 7.1.15
Subtrahiere 15.1 von 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
Schritt 7.1.16
Potenziere -1.1 mit 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
Schritt 7.1.17
Subtrahiere 15.1 von 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
Schritt 7.1.18
Potenziere -1.1 mit 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
Schritt 7.1.19
Subtrahiere 15.1 von 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
Schritt 7.1.20
Potenziere -1.1 mit 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
Schritt 7.1.21
Subtrahiere 15.1 von 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
Schritt 7.1.22
Potenziere -0.1 mit 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
Schritt 7.1.23
Subtrahiere 15.1 von 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
Schritt 7.1.24
Potenziere -0.1 mit 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
Schritt 7.1.25
Subtrahiere 15.1 von 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
Schritt 7.1.26
Potenziere -0.1 mit 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
Schritt 7.1.27
Subtrahiere 15.1 von 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
Schritt 7.1.28
Potenziere -0.1 mit 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
Schritt 7.1.29
Subtrahiere 15.1 von 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
Schritt 7.1.30
Potenziere -0.1 mit 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
Schritt 7.1.31
Subtrahiere 15.1 von 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
Schritt 7.1.32
Potenziere 0.9 mit 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
Schritt 7.1.33
Subtrahiere 15.1 von 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
Schritt 7.1.34
Potenziere 0.9 mit 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
Schritt 7.1.35
Subtrahiere 15.1 von 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
Schritt 7.1.36
Potenziere 0.9 mit 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
Schritt 7.1.37
Subtrahiere 15.1 von 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
Schritt 7.1.38
Potenziere 1.9 mit 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
Schritt 7.1.39
Subtrahiere 15.1 von 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
Schritt 7.1.40
Potenziere 1.9 mit 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
Schritt 7.1.41
Subtrahiere 15.1 von 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
Schritt 7.1.42
Potenziere 1.9 mit 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
Schritt 7.1.43
Subtrahiere 15.1 von 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
Schritt 7.1.44
Potenziere 1.9 mit 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
Schritt 7.1.45
Subtrahiere 15.1 von 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
Schritt 7.1.46
Potenziere 2.9 mit 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
Schritt 7.1.47
Subtrahiere 15.1 von 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
Schritt 7.1.48
Potenziere 2.9 mit 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
Schritt 7.1.49
Subtrahiere 15.1 von 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
Schritt 7.1.50
Potenziere 9.9 mit 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
Schritt 7.1.51
Addiere 26.01 und 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
Schritt 7.1.52
Addiere 42.82 und 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
Schritt 7.1.53
Addiere 52.43 und 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
Schritt 7.1.54
Addiere 62.04 und 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
Schritt 7.1.55
Addiere 66.45 und 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
Schritt 7.1.56
Addiere 70.86 und 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
Schritt 7.1.57
Addiere 75.27 und 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
Schritt 7.1.58
Addiere 76.48 und 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
Schritt 7.1.59
Addiere 77.69 und 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
Schritt 7.1.60
Addiere 78.9 und 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
Schritt 7.1.61
Addiere 78.91 und 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
Schritt 7.1.62
Addiere 78.92 und 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
Schritt 7.1.63
Addiere 78.93 und 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
Schritt 7.1.64
Addiere 78.94 und 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
Schritt 7.1.65
Addiere 78.95 und 0.81.
s=79.76+0.81+0.81+3.61+3.61+3.61+3.61+8.41+8.41+98.0125-1
Schritt 7.1.66
Addiere 79.76 und 0.81.
s=80.57+0.81+3.61+3.61+3.61+3.61+8.41+8.41+98.0125-1
Schritt 7.1.67
Addiere 80.57 und 0.81.
s=81.38+3.61+3.61+3.61+3.61+8.41+8.41+98.0125-1
Schritt 7.1.68
Addiere 81.38 und 3.61.
s=84.99+3.61+3.61+3.61+8.41+8.41+98.0125-1
Schritt 7.1.69
Addiere 84.99 und 3.61.
s=88.6+3.61+3.61+8.41+8.41+98.0125-1
Schritt 7.1.70
Addiere 88.6 und 3.61.
s=92.21+3.61+8.41+8.41+98.0125-1
Schritt 7.1.71
Addiere 92.21 und 3.61.
s=95.82+8.41+8.41+98.0125-1
Schritt 7.1.72
Addiere 95.82 und 8.41.
s=104.23+8.41+98.0125-1
Schritt 7.1.73
Addiere 104.23 und 8.41.
s=112.64+98.0125-1
Schritt 7.1.74
Addiere 112.64 und 98.01.
s=210.6525-1
s=210.6525-1
Schritt 7.2
Vereinfache den Ausdruck.
Schritt 7.2.1
Subtrahiere 1 von 25.
s=210.6524
Schritt 7.2.2
Dividiere 210.65 durch 24.
s=8.77708‾3
s=8.77708‾3
s=8.77708‾3
Schritt 8
Approximiere das Ergebnis.
s2≈8.7771