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MATH1005 (22)

# Class Notes for MATH1005 at University of Sydney

Statistical Thinking with Data

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##### MATH1005 Lecture Notes - Lecture 11: Simple Random Sample, Central Limit Theorem, Standard Deviation Premium

Accuracy Of Means Mean of Draws from a known box We have to first assume to know the contents of a box, specifically population mean and SD. To do this, we have to take a simple random sample of size n, then consider the c...

Mathematics
MATH1005
Sarah Romanes
##### MATH1005 Lecture Notes - Lecture 11: Simple Random Sample, Css Box Model, Normal Distribution Premium

Chance Errors in Sampling In Sample Surveys, there are always chance errors, to which each sample are one unique draw from the population. In this case, we have to calcuate or understand the likely size of the chance error...

Mathematics
MATH1005
Sarah Romanes
##### MATH1005 Lecture Notes - Lecture 5: Scatter Plot Premium

Scatter Plot & Correlation Bivariate Data Bivariate data involves a pair of variables, seeing the relationship between the 2 variables. Formally, we have (x,y), so that X is the independent variable, and Y is the depend...

Mathematics
MATH1005
Sarah Romanes
##### MATH1005 Lecture Notes - Lecture 10: Null Hypothesis, Scientific Method, Test Statistic Premium

MATH1005 Hypothesis Testing What is this? This is a scientific method for weighing up the evidence given in the data, which may oppose the provided model for said data. For example: We say that the data is not co...

Mathematics
MATH1005
Sarah Romanes
##### MATH1005 Lecture Notes - Lecture 8: Central Limit Theorem, Probability Distribution, Normal Distribution Premium

Normal Approximation The Probability Histogram This is one of the three histogram categories, with Data and Simulation. A data histogram is written with hist(); while the probability histogram is representative of chance, ...

Mathematics
MATH1005
Sarah Romanes
##### MATH1005 Lecture Notes - Lecture 7: Css Box Model, Standard Error, Rstudio Premium

Law of Averages Chance Processes Chances comes with many variables that can be assessed in mass, with the number of tosses, relative to chance error. Number of heads (observed) = Half the number of tosses (expected) + chan...

Mathematics
MATH1005
Sarah Romanes
##### MATH1005 Lecture Notes - Lecture 4: Normal Distribution, Standard Deviation Premium

Normal Curves Approximates the natural phenomenon, modeling data through combing a large range of independent variables. Standard Normal Curve - This would have a mean of 0, but an SD of 1. General Normal Curve - This w...

Mathematics
MATH1005
Sarah Romanes
##### MATH1005 Lecture 3: Copy of MATH1005 lecture 3 (2) Premium

How to measure spread? You cannot rely solely on the mean to understand the data, or make conclusions for other applications, ie buying a house. This is because we do not know if the data is skewed, and as a result, may be...

Mathematics
MATH1005
Sarah Romanes
##### MATH1005 Lecture Notes - Lecture 2: Box Plot Premium

Qualitative Data This is in terms of fixing the data, where there is an unknown value, denoted as -9. * To fix this, you have to go through the data in Excel, and change up the numbers so that it is just 0. Histograms T...

Mathematics
MATH1005
Sarah Romanes
##### MATH1005 Lecture Notes - Lecture 2: Faceting, Data Wrangling, Bar (Music) Premium

What is Data: Definition: The information about the set of subjects being studied, and it can refer to a sample. Initial Data Analysis (IDA) is the initial observations of the provided data. This would allow for a bette...

Mathematics
MATH1005
Sarah Romanes
##### MATH1005 Lecture Notes - Lecture 3: Mathematical Notation, Box Plot Premium

CODING LANGUAGE dim(data) - Dimensions of the data provided, from rows to columns. str(data) - Structure of the data, indicating the variables, and data. USING NEWTOWN DATA Due to the size of the data, it is best to pres...

Mathematics
MATH1005
Sarah Romanes

Mathematics
MATH1005
Ray Kawai

Mathematics
MATH1005
Ray Kawai

Mathematics
MATH1005
Ray Kawai

Mathematics
MATH1005
Ray Kawai
##### Statistics - Reference Guides

This Guide provides an easy to follow summary of all basic principles that are the foundation to Statistics and Probabilities. Using a combination of charts and sample equations, the key concepts are developed and the esse...

Econometrics
ETC2430
All Professors
##### Calculus Derivatives - Reference Guides

This advanced Calculus Guide provides assistance to the user through its articulation of key Derivatives principles. Helpful tips to solve exponential and logarithmic functions are featured.

All Professors
##### Permachart - Marketing Reference Guide: Becquerel, Hyperbolic Function, International Standard Book Number

l e a r n • r e f e r e n c e • r e v i e w permacharts TM CCalculus Integrals II INTEGRALS INVOLVING a+bu & p+qu ...

All Professors
##### College Mathematics - Reference Guides

This comprehensive Guide provides concrete reference materials in three math fundamentals – Algebra, Calculus, and Trigonometry. Helpful sample equations and rules are the backbone to this Guide

All Professors
##### Permachart - Marketing Reference Guide: Inflection Point, Inflection, Farad

l e a r n • r e f e r e n c e • r e v i e w permacharts TM Differential Calculus Differential Calculus ...

All Professors
##### Permachart - Marketing Reference Guide: Iterated Integral, Centroid, Multiple Integral

permacht asrTM integral Calculus theorems types of iNtegrals averaGe value Theorem ...

All Professors
##### Laplace Transforms - Reference Guides

This useful Math Guide is a specific reference for techniques to convert ordinary differential equations to algebraic equations. Helpful charts and summaries are used to convey information such as exponential, square root,...

All Professors
##### Permachart - Marketing Reference Guide: Charge Pump, Diode, Electrolytic Capacitor

l e a r n • r e f e r e n c e • r e v i e w permacharts TM CConductors & Semiconductors BASICS TERMS Conductor Valence and conduction bands for electr...

Electrical Engineering
4400:307
All Professors
##### Permachart - Marketing Reference Guide: Steradian, Luminous Intensity, Si Base Unit

l e a r n • r e f e r e n c e • r e v i e w permacharts TM Metric System ...

Basic Engineering
BE 1101
All Professors
##### Intermediate Algebra - Reference Guides

This more advanced Guide builds upon the reference material set out in the Introductory Algebra Guide. Linear equations, polynomial equations and complex numbers are readily explained; clear and easy to follow emphasis is ...

MATH
MATH 504
All Professors
##### Introductory Algebra - Reference Guides

This Guide provides a concise and very readable summary of all key Algebraic principles. Special attention is directed to terminology, laws, and operations, with practical examples developed as illustration of these princi...

MATH
MATH 504
All Professors
##### Permachart - Marketing Reference Guide: Circumscribed Circle, Trapezoidal Rule, Quadrilateral

permacharts TM Geometry Geometry QUADRILATERALS CIRCLES & CONICS...

MATH
MATH 501
All Professors
##### Permachart - Marketing Reference Guide: Cubic Yard, Nautical Mile, Fluid Ounce

l e a r n • r e f e r e n c e • r e v i e w permacharts TM Weights & Measures THE U.S./IMPERIAL SYSTEM OF MEASUREMENTS ...

Physics
PHYS 24300
All Professors
##### Vectors & Matrices - Reference Guides

Vectors are an important area of study that develops naturally from a basic understanding of physics and is subsets – statics, dynamics, and mechanics. This practical Guide provides assistance in an often complex disciplin...

Physics
PHYS 24300
All Professors
##### Permachart - Marketing Reference Guide: Luminous Flux, Magnetic Flux, Magnetic Flux Quantum

permacharts TM F u n d a m e n t a lP h y s ic a lC o n s t a n t s General Constants Quantity...

Physics
PHYS 24300
All Professors
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