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

Standardavvikelse - uppgift i Geogebra

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.

Pascals triangel

Återknyt

Övrigt/Annat

Simulering av räknesticka för att åskådliggöra logaritmer

e

• e = 2,71828183
• e^-.1304 på Wolfram

Regression

Linjär regression med GGB

• http://www.geogebratube.org/student/m14559
• http://www.geogebratube.org/material/show/id/34178

Pendellabb

Första kolumnen visar snörets längd för en pendel. I andra kolumnen visas tiden för fem svängningar. Därefter räknas svängningstiden för en svängning ut. I GGB kan man göra regression och pröva räta linjen, en andragradsfunktion och en potensfunktion.

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NP-uppgifter

Länk finns även på NP-avsnittet.

• Här är en serie uppgifter på Statistik, något som man ofta inte hinner öva så mycket på. De är i en PPT med en del lösningar därtill .