varianz 1.8,2.5,2.6,4.4,4.4,7.3,8,9.5,10.3,10.4,11.1,11.7

Lösung

varianz

1.8, 2.5, 2.6, 4.4, 4.4, 7.3, 8, 9.5, 10.3, 10.4, 11.1, 11.7

13.53272 \dots

Schritte zur Lösung

Berechne den Durchschnitt,

\overset{x}{ˉ} : 7

Berechne

i = 1 \sum n (x_{i} - \overset{x}{ˉ})^{2} : 148.86

Berechne die Anzahl der Elemente der Datenreihe:

n = 12

Berechne

Va r (X) = i = 1 \sum n \frac{( x _{i} - x ˉ ) ^{2}}{n - 1} : 13.53272 \dots

13.53272 \dots

in t er q u a r t i l e 300, 785, 670, 187, 760, 724

f i rs tq u a r t i l e 1, 4, 5, 5, 10, 25

f i rs tq u a r t i l e 1, 4, 6, 14, 20, 24, 25, 28, 29, 35, 38, 40, 40, 43, 44, 47, 48

s t d - 30, 0, 14, 25

a r i t hm e t i c m e an 13, 11, 4, 5, 6, 9, 10, 12, 15, 16