Statistik 2C: Skillnad mellan sidversioner
Hakan (diskussion | bidrag) |
Hakan (diskussion | bidrag) |
||
Rad 97: | Rad 97: | ||
* [https://www.google.se/search?q=e&ie=utf-8&oe=utf-8&aq=t&rls=org.mozilla:sv-SE:official&client=firefox-a e = 2,71828183] | * [https://www.google.se/search?q=e&ie=utf-8&oe=utf-8&aq=t&rls=org.mozilla:sv-SE:official&client=firefox-a e = 2,71828183] | ||
* http://www.wolframalpha.com/input/?i=e^-.1304&t=esm01 | * [http://www.wolframalpha.com/input/?i=e^-.1304&t=esm01 e^-.1304 på Wolfram] |
Versionen från 31 maj 2012 kl. 11.19
Histogram
Uppgift
Gör uppgiften nedan genom att använda Excel eller GeoGebra.
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Exempel på histogram till uppgiften ovan
Histogrammet i Excel.
Exempeluppgift
Övning
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
![](https://upload.wikimedia.org/wikipedia/commons/thumb/5/5c/Normal_distribution.svg/langsv-300px-Normal_distribution.svg.png)
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.
- Plocka in dem i GGB för att göra ett histogram.
- 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.
Pascals triangel
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Övrigt/Annat
Simulering av räknesticka för att åskådliggöra logaritmer