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Änderungen von Dokument BPE 10.2 Quantile, Median und Boxplot

Zuletzt geändert von Thomas Beschorner am 2025/10/16 11:23
Von Version 20.1
bearbeitet von Thomas Beschorner
am 2025/09/30 12:58
Änderungskommentar: Es gibt keinen Kommentar für diese Version
Auf Version 46.1
bearbeitet von Miriam Schneider
am 2025/10/13 15:07
Änderungskommentar: Es gibt keinen Kommentar für diese Version

Zusammenfassung

Details

Seiteneigenschaften
Dokument-Autor
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1 -XWiki.bes
1 +XWiki.schneiderm
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="bes" cc="BY-SA" zeit="15"}}
10 10  20 zufällig ausgesuchte erwachsende Personen werden in einer Umfrage nach ihrem monatlichen Einkommen befragt.
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?“
9 +Folgende Antworten wurden notiert: 900, 1600, 800, 2300, 1300, 2700, 2100, 2500, 4000, 1700, 3300, 1400, 1900, 1480, 2900, 1200, 1150, 600, 4100, 2700
10 +(%class=abc%)
11 +1. Erstelle eine geordnete Darstellung der Merkmalsausprägungen.
12 +1. Berechne den Median.
13 +1. Jemand fragt: „Sind im oberen mehr als im unteren Viertel mehr Merkmalsträger enthalten?“
14 + Untersuche, ob diese Frage sinnvoll ist, und entscheide ggf.
15 +1. Erstelle einen Boxplot zu deinem Ergebnis aus a).
16 +{{/aufgabe}}
16 16  
17 -Untersuche, ob diese Frage sinnvoll ist und entscheide ggf.
18 +{{aufgabe id="Boxplots zuordnen" afb="II" kompetenzen="K1,K4" quelle="Thomas Beschorner" cc="BY-SA" zeit="10"}}
19 +[[image:Boxplots.png||width=600]]
18 18  
19 -d) Erstelle einen Boxplot zu deinem Ergebnis aus a).
21 +(% class="border slim" %)
22 +|{{formula}}1.{{/formula}} | 12 | 12 | 12 | 12 | 13 | 15 | 17 | 17 | 17 | 20 | 20 | 24 | 24 | 24 | 24
23 +|{{formula}}2.{{/formula}} | 12 | 13 | 13 | 15 | 15 | 18 | 18 | 20 | 20 | 20 | 22 | 22 | 24 | 24 | 26
24 +|{{formula}}3.{{/formula}} | 12 | 16 | 18 | 18 | 18 | 18 | 19 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24
25 +|{{formula}}4.{{/formula}} | 12 | 14 | 14 | 16 | 16 | 18 | 18 | 20 | 20 | 20 | 20 | 20 | 24 | 24 | 24
26 +|{{formula}}5.{{/formula}} | 12 | 12 | 12 | 12 | 18 | 18 | 18 | 18 | 18 | 23 | 23 | 23 | 23 | 23 | 24
27 +|{{formula}}6.{{/formula}} | 12 | 14 | 14 | 16 | 16 | 17 | 18 | 18 | 22 | 22 | 23 | 23 | 23 | 23 | 24
20 20  
21 -
29 +Untersuche, welcher Boxplot zu welcher Liste gehört. Begründe deine Zuordnung.
22 22  {{/aufgabe}}
23 23  
24 -{{aufgabe id="Boxplots zuordnen" afb="II" kompetenzen="K1,K4
25 -" quelle="bes" cc="BY-SA" zeit="10"}}
32 +{{aufgabe id="Boxplot zeichnen und interpretieren" afb="II" kompetenzen="K1,K4,K5,K6" quelle="CuM" cc="BY-SA" zeit="10"}}
33 +Beim Sommerfest der Schule stellt die Klasse 9 eine Torschusswand auf. Jeder SuS hat 10 Versuche. Die Liste gibt die Anzahl der Treffer der ersten 20 Schützen an.
34 +2, 5, 0, 3, 2, 4, 9, 6, 4, 1, 5, 3, 3, 0, 1, 4, 3, 5, 1, 8
35 +(%class=abc%)
36 +1. Zeichne den zugehörigen Boxplot.
37 +1. Beim Sommerfest eines Sportvereins wurde ebenfalls eine Torschusswand aufgestellt. Hier ergab sich der unten abgebildete Boxplot. Ermittle Unterschiede der beiden Boxplots. Erläutere mögliche Gründe für die Abweichungen.
38 + [[image:Boxplot_Fussball.png||width=600]]
26 26  
27 -[[image:Boxplots.png]]
40 +{{/aufgabe}}
28 28  
29 -(((
42 +{{aufgabe id="Listen anpassen" afb="III" kompetenzen="K3, K4" quelle="Thomas Beschorner" cc="BY-SA" zeit="5"}}
30 30  (% style="width: 30%; white-space: nowrap" class="border" %)
31 -|{{formula}}1.{{/formula}} | 12 | 12 | 12 | 12 | 13 | 15 | 17 | 17 | 17 | 20 | 20 | 24 | 24 | 24 | 24
32 -|{{formula}}2.{{/formula}} | 12 | 13 | 13 | 15 | 15 | 18 | 18 | 20 | 20 | 20 | 22 | 22 | 24 | 24 | 26
33 -|{{formula}}3.{{/formula}} | 12 | 16 | 18 | 18 | 18 | 18 | 19 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24
34 -|{{formula}}4.{{/formula}} | 12 | 14 | 14 | 16 | 16 | 18 | 18 | 20 | 20 | 20 | 20 | 20 | 24 | 24 | 24
35 -|{{formula}}5.{{/formula}} | 12 | 12 | 12 | 12 | 18 | 18 | 18 | 18 | 18 | 23 | 23 | 23 | 23 | 23 |24
36 -|{{formula}}6.{{/formula}} | 12 | 14 | 14 | 16 | 16 | 17 | 18 | 18 | 22 | 22 | 23 | 23 | 23 | 23 |24
37 -)))
44 +|{{formula}}1.{{/formula}} | 12 | 12 | 12 | 12 | 13 | 15 | 17 | 17 | 17 | 20 | 22 | 24
38 38  
46 +Begründe, ob folgende Aussagen wahr oder falsch sind.
47 +(%class=abc%)
48 +1. Man kann der Liste einen natürlichen Wert hinzufügen, sodass sich der Median nicht ändert.
49 +1. Man kann der Liste zwei natürliche Werte hinzufügen, sodass sich der Median nicht ändert.
50 +1. Man kann der Liste einen natürlichen Wert hinzufügen, sodass sich das obere Quartil nicht ändert.
51 +1. Man kann der Liste zwei natürliche Werte hinzufügen, sodass sich das obere Quartil nicht ändert.
52 +{{/aufgabe}}
39 39  
54 +{{aufgabe id="Boxplot interpretieren" afb="III" kompetenzen="K1,K2,K3,K4,K5,K6" quelle="Christine Müller, Miriam Schneider" cc="BY-SA" zeit="15"}}
55 +Eine Familie hat sieben Kinder. Alle sieben Kinder sind unterschiedlich groß. Für ein Familienfoto stellen sie sich der Größe nach auf. Der folgende Boxplot veranschaulicht die Körpergrößen in cm. Entnimm dem Boxplot möglichst viele Informationen und bestimme damit die Körpergrößen aller sieben Kinder, wenn du weißt, dass das drittkleinste Kind 21cm kleiner als das größte Kind ist. Begründe deine Lösung.
56 + [[image:Boxplot_Kinder.png||width=600]]
57 +
58 +{{/aufgabe}}
40 40  
41 -
42 -
43 43  {{seitenreflexion bildungsplan="" kompetenzen="" anforderungsbereiche="" kriterien="" menge=""/}}
Boxplot_Fussball.png
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