Statistika meta kocke na elementarnem nivoju

diplomsko delo

Dušanka Colnar (Author), Bojan Golli (Mentor)

Abstract

V diplomskem delu obravnavam met igralne kocke kot enega od slučajnih pojavov. V teoretičnem delu pojasnim nekatere osnovne pojme iz verjetnosti in statistike, v empiričnem delu pa opišem pet eksperimentov. Prvi eksperiment izvedejo učenci osnovne šole. Na osnovi velikega števila metov kocke izdelajo zanimivo frekvenčno porazdelitev izidov. Ostale štiri eksperimente izvedem sama, so pa primerni tudi za izvedbo z učenci. Mečem obtežene in neobtežene igralne kocke ter raziščem verjetnostne porazdelitve izidov. S statističnim testom hi kvadrat primerjam izmerjene in teoretične porazdelitve ter presojam o poštenosti uporabljenih kock. Ugotovim, da na verjetnostno porazdelitev izidov močno vplivata način izdelave kock in število izvedenih metov. Pokažem tudi, da se z večanjem števila kock verjetnostna porazdelitev vsote pik približuje Gaussovi verjetnostni porazdelitvi.

Keywords

poštena kocka;verjetnostna porazdelitev;test hi kvadrat;

Data

Language:	Slovenian
Year of publishing:	2016
Typology:	2.11 - Undergraduate Thesis
Organization:	UL PEF - Faculty of Education
Publisher:	[D. Colnar]
UDC:	53:551.245.5(043.2)
COBISS:	11323977
Views:	1917
Downloads:	230
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	Statistics of dice throw at the elementary level
Secondary abstract:	In my thesis I explore the randomness of game of dice. In theoretical part I explain some basic concepts of probability and statistics and in the experimental part I describe 5 different experiments, first of which was performed by primary school pupils. Based on a large number of dice throws they produce interesting frequency distribution of the results. The remaining 4 experiments are primary school ready, but were carried out by myself. By throwing fair and weighted die I explore probability of distribution of outcomes. I compare chi squared test of measured and theoretical distributions and then assess the fairness of individual dice. I conclude that that number of calculated throws and quality of manufacture of the dice influence the end result greatly. I also show that we get closer and closer to Gaussian distribution curve when we increase the number of dice thrown.
Secondary keywords:	physics;fizika;
File type:	application/pdf
Type (COBISS):	Undergraduate thesis
Thesis comment:	Univ. v Ljubljani, Pedagoška fak., Fak. za matematiko in fiziko, Matematika in fizika
Pages:	IV, 70 str.
ID:	9226303