Statistik 2C

Histogram

Uppgift

Gör uppgiften nedan genom att använda Excel eller GeoGebra.

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Exempel på histogram till uppgiften ovan

Histogrammet i Excel.

Övning

malin C - Övning GeoGebra

Statistik i GeoGebra

Det går alldeles utmärkt att göra histogram och annat i GGB.

1, 1, 2, 3, 2, 4, 3, 3, 2, 1, 4, 3, 5, 6, 7, 8, 9, 9, 11, 12, 3, 4

Siffrorna ovan kan man exempelvis klippa in i GGB och sedan klicka analysknappen. Ger automatiskt histogram och standardavvikelse och allt man kan begöära. Vi kan ha det som grund för alla undervisning.

Varationsbredd och låddiagram

Några spridningsmått Sidorna 217-221.

Standardavvikelse

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Tips: Testa standard deviation i WolframAlpha

Normalfördelningen

Normal distribution

Gemensam övningsuppgift

Testa dessa data i GGB:

85, 87, 150, 100, 100, 90, 70, 72, 75, 70, 85, 143, 100, 121, 92, 66, 70, 69, 75, 80, 140, 92, 130, 83, 70, 68, 67, 75, 83, 149, 95, 130, 80, 68, 85, 75, 73, 78, 140, 90, 124, 86, 69, 70, 75, 77, 110, 165, 110, 150, 110, 115, 80, 75, 75, 98, 172, 110, 145, 110, 95, 52, 80, 96, 110, 168, 110, 145, 110, 80,80, 75, 89, 95, 170, 110, 145, 120, 89, 72, 79, 75, 95, 220, 100, 149, 100, 110,80, 85, 80, 90, 165, 103, 135, 95, 77, 76, 85, 80, 88, 155, 103, 120, 85, 79, 78, 82, 75, 85, 150, 103, 135, 90, 75, 85, 78, 75, 88, 150, 95, 130, 90, 70, 76, 89, 82, 95, 145, 100, 133, 90, 77, 89, 79, 80, 90, 165, 103, 135, 95, 77, 86, 80, 85, 100, 160, 120, 140, 100, 90, 79, 92, 70, 100, 165, 120, 140, 100, 120, 86, 71, 95, 100, 155, 120, 139, 100, 89, 86, 78, 78, 110, 158, 122, 145, 108, 95, 95, 78

Är de normalfördelade?

Skapa värden i Excel

Övning i att generera egna värden i Excel.

Använd denna fil till att generera slumptal.

Excel genererar två slumptal mellan 1-6. Sedan adderas de. Dessa värden ska du undersöka fördelningen av.

1. Plocka in dem i GGB för att göra ett histogram.
2. Är de normalfördelade?

Hur många värden behöver du för att det ska se bra ut jämfört med normalförelningskurvan?

Testa även att generera slumptal i GGB.

Normalfördelningskurva i GGB

Testa att skriv y=Normal och välj en av funktionerna som GGB föreslår.

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Intressant och lärorik överkursuppgift

Läs artikeln och lär dig hur man skapar svg i gnuplot:

Andelar i respektive kvartil

Mellan medelvärdet och en standardavvikelse ligger 34 % av värdena.