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Änderungen von Dokument BPE 10.2 Quantile, Median und Boxplot

Zuletzt geändert von Thomas Beschorner am 2025/10/01 13:27
Von Version 25.1
bearbeitet von Thomas Beschorner
am 2025/09/30 13:09
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Auf Version 31.1
bearbeitet von Thomas Beschorner
am 2025/10/01 09:24
Änderungskommentar: Es gibt keinen Kommentar für diese Version

Zusammenfassung

Details

Seiteneigenschaften
Inhalt
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1 1  {{seiteninhalt/}}
2 2  
3 -[[Kompetenzen.K4]] Ich kann Aussagen zur Datenanalyse bestimmen.
4 -[[Kompetenzen.K4]] [[Kompetenzen.K6]] Ich kann Aussagen zur Datenanalyse interpretieren
5 -[[Kompetenzen.K3]] [[Kompetenzen.K4]] [[Kompetenzen.K6]] Ich kann Aussagen zur Datenanalyse bewerten.
3 +[[Kompetenzen.K4]] Ich kann bestimmen die Kenngrößen unteres und oberes Quartil und Median bestimmen.
4 +[[Kompetenzen.K4]] Ich kann einen Boxplot erstellen.
5 +[[Kompetenzen.K4]] [[Kompetenzen.K6]] Ich kann die Verteilung mithilfe von Boxplots interpretieren.
6 6  
7 -
8 -{{aufgabe id="Median und Quantile" afb="III" kompetenzen="K1, K4, K5, K6" quelle="bes" cc="BY-SA" zeit="15"}}
9 -
7 +{{aufgabe id="Median und Quantile" afb="I" kompetenzen="K1, K4, K5, K6" quelle="Thomas Beschorner" cc="BY-SA" zeit="15"}}
10 10  20 zufällig ausgesuchte erwachsende Personen werden in einer Umfrage nach ihrem monatlichen Einkommen befragt.
11 11  Folgende Antworten wurden notiert: 900, 1600, 800, 2300, 1300, 2700, 2100, 2500,4000,1700,3300,1400,1900,1480,2900,1200,1150,600,4100,2700
12 -
13 -a) Erstelle eine geordnete Darstellung der Merkmalsausprägungen.
14 -b) Berechne den Median.
15 -c) Jemand fragt: „Sind im oberen oder im unteren Quantil mehr Merkmalsträger enthalten sind?“
16 -
17 -Untersuche, ob diese Frage sinnvoll ist und entscheide ggf.
18 -
19 -d) Erstelle einen Boxplot zu deinem Ergebnis aus a).
20 -
21 -
10 +(%class=abc%)
11 +1. Erstelle eine geordnete Darstellung der Merkmalsausprägungen.
12 +1. Berechne den Median.
13 +1. Jemand fragt: „Sind im oberen oder im unteren Quantil mehr Merkmalsträger enthalten?“ Untersuche, ob diese Frage sinnvoll ist und entscheide ggf.
14 +1. Erstelle einen Boxplot zu deinem Ergebnis aus a).
22 22  {{/aufgabe}}
23 23  
24 -{{aufgabe id="Boxplots zuordnen" afb="II" kompetenzen="K1,K4
25 -" quelle="bes" cc="BY-SA" zeit="10"}}
26 -
27 -
17 +{{aufgabe id="Boxplots zuordnen" afb="II" kompetenzen="K1,K4" quelle="Thomas Beschorner" cc="BY-SA" zeit="10"}}
28 28  [[image:Boxplots.png]]
29 29  
30 -(((
31 31  (% style="width: 30%; white-space: nowrap" class="border" %)
32 32  |{{formula}}1.{{/formula}} | 12 | 12 | 12 | 12 | 13 | 15 | 17 | 17 | 17 | 20 | 20 | 24 | 24 | 24 | 24
33 33  |{{formula}}2.{{/formula}} | 12 | 13 | 13 | 15 | 15 | 18 | 18 | 20 | 20 | 20 | 22 | 22 | 24 | 24 | 26
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35 35  |{{formula}}4.{{/formula}} | 12 | 14 | 14 | 16 | 16 | 18 | 18 | 20 | 20 | 20 | 20 | 20 | 24 | 24 | 24
36 36  |{{formula}}5.{{/formula}} | 12 | 12 | 12 | 12 | 18 | 18 | 18 | 18 | 18 | 23 | 23 | 23 | 23 | 23 |24
37 37  |{{formula}}6.{{/formula}} | 12 | 14 | 14 | 16 | 16 | 17 | 18 | 18 | 22 | 22 | 23 | 23 | 23 | 23 |24
38 -)))
39 39  
40 40  Untersuche, welcher Boxplot zu welcher Liste gehört. Begründe deine Zuordnung.
41 -
42 42  {{/aufgabe}}
43 43  
44 -{{aufgabe id="Listen anpassen" afb="III" kompetenzen="K3, K4"
45 - quelle="bes" cc="BY-SA" zeit="5"}}
46 -
47 -(((
31 +{{aufgabe id="Listen anpassen" afb="III" kompetenzen="K3, K4" quelle="Thomas Beschorner" cc="BY-SA" zeit="5"}}
48 48  (% style="width: 30%; white-space: nowrap" class="border" %)
49 -|{{formula}}1.{{/formula}} | 12 | 12 | 12 | 12 | 13 | 15 | 17 | 17 | 17 | 20 | 22 | 20
50 -)))
33 +|{{formula}}1.{{/formula}} | 12 | 12 | 12 | 12 | 13 | 15 | 17 | 17 | 17 | 20 | 22 | 20
51 51  
52 52  Begründe, ob folgende Aussagen wahr oder falsch sind.
36 +(%class=abc%)
37 +1. Man kann der Liste einen Wert hinzufügen, sodass sich der Median nicht ändert.
38 +1. Man kann der Liste zwei Werte hinzufügen, sodass sich der Median nicht ändert.
39 +1. Man kann der Liste zwei Werte hinzufügen, sodass sich das untere Quartil nicht ändert
40 +{{/aufgabe}}
53 53  
54 -a) Man kann der Liste einen Wert hinzufügen, sodass sich der Median nicht ändert.
55 -b) Man kann der Liste zwei Werte hinzufügen, sodass sich der Median nicht ändert.
56 -c) Man kann der Liste zwei Werte hinzufügen, sodass sich das untere Quartil nicht ändert
57 -
58 -
59 59  {{seitenreflexion bildungsplan="" kompetenzen="" anforderungsbereiche="" kriterien="" menge=""/}}
Boxplots zuordnen.ggb
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Boxplots zuordnen.svg
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