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Kapitel 7: Listenfunktion LIST
7 stdDv( stdDv(Liste [, Häufigkeitsliste])
Ausgabe der Standardabweichung Elemente in der angegebenen Liste.
Beispiel
• BerechnedieStandardabweichungen
der Elemente von Liste L2.
Achtung: Hier wird ein Schätzer der
Statistik verwendet. Der Befehl stdDv führt
zueinerDivisiondurchNull,wenninderHäugkeitslisterelativeHäugkeitenoder
Wahrscheinlichkeitengespeichertsind.IndiesemFallistP_stdDvzuverwenden.
8 varian( varian(Liste [, Häufigkeitsliste])
AusgabederVarianzderElementeder
angegebenen Liste.
Beispiel
• BerechnedieVarianzderElemente
von Liste L2.
9 P_stdDv( P_stdDv(Liste [, Häufigkeitsliste])
Ausgabe der Gesamt-Standardabweichung in den angegebenen Listen nach der
Formel s. u.
Bei diesem Befehl darf die Häufigkeitsliste absolute oder relative Häufigkeiten
enthalten.
Beispiel
• BerechnedieHäugkeits-
Standardabweichung mit den Listen-
werten der Liste L2.
Standardabweichung und Varianz
Standardabweichnung: s =
(Schätzer)
Varianz =
(Schätzer)
Gesamt-Standardabweichung: =
(Varianz bei Vollerhebung)
dabei bedeutet: n = Anzahl der Listenelemente
lk = Wert der Listenelemente
m = Mittelwert der Liste
Varianz
n 1
(lk m)2
k = 1
n
n
(lk m)2
k = 1
n
144


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