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Soziologie Forum • Thema anzeigen - Statistik 1 Berechnung des Median bei klassierten Daten
Foren-Übersicht ‹ Bachelorstudium Soziologie ‹ Methoden ‹ Statistik 1 Berechnung des Median bei klassierten Daten

Statistik 1 Berechnung des Median bei klassierten Daten

Qualitativ oder Quantitativ, dass ist hier die Frage!

Moderator: stv|soziologie

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Statistik 1 Berechnung des Median bei klassierten Daten

Beitragvon Angela » 27.06.2013, 16:04

Hallo!

Benötige BITTE dringend Hilfe!!!
Ich verstehe nicht, wie man den Median bei klassierten Daten berechnet???

z.B.:

Klassengrenzen: Anzahl/Pers. MW der Klassen h H
800 - 1000 50 900 0,416 0,416
1000 - 1200 30 1100 0,25 0,666
1200 - 1400 20 1300 0,167 0,833
1400 - 2000 20 1700 0,167 1,00

Also: der Median muss sich im Bereich zwischen 1000 und 1200 (aufgrund der kumulierten Häufigkeiten) befinden, aber wie genau geht der Rechenschritt um dem Median eine Zahl zuzuordnen???

Danke
Angela
 
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Beitragvon stv|soziologie » 28.06.2013, 11:11

Da musst du den Strahlensatz anwenden:
xp = ui + (p-F(ui))/hi*bi
xp = 1000 + (0,5-0,416)/(0,666-0,416)*200=1067.2

ui ... Klassen Untergrenze absolut
p .... Prozentanzahl die du ausrechen willst -> bei uns 0,5 (Median)
F(ui)... Klassen Untergrenze relativ
hi ... Klassenhöhe (relativ)
bi ... Klassenbreite (absolut)

siehe [url]http://www.marcushudec.at/download/docman/22/2%20Verteilungsfunktion%20und%20Quantile.pdf[/url] ab Seite38
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