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MATH1005: Statistics (2010 - Semester 2)

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Unit: MATH1005: Statistical Thinking with Data (3 CP)
Mode: Normal-Day
On Offer: Yes
Level: Junior
Faculty/School: School of Mathematics and Statistics
Unit Coordinator/s:
Session options: Semester 2, Summer Main
Versions for this Unit:
Site(s) for this Unit: http://www.maths.usyd.edu.au/u/UG/JM/
Campus: Camperdown/Darlington
Pre-Requisites: None.
Prohibitions: MATH1015, MATH1905, STAT1021, STAT1022, ECMT1010
Brief Handbook Description: MATH1005 is designed to provide a thorough preparation for further study in mathematics and statistics. It is a core unit of study providing three of the twelve credit points required by the Faculty of Science as well as a Junior level requirement in the Faculty of Engineering.

This unit offers a comprehensive introduction to data analysis, probability, sampling, and inference including t-tests, confidence intervals and chi-squared goodness of fit tests.
Assumed Knowledge: None.

Attributes listed here represent the key course goals (see Course Map tab) designated for this unit. The list below describes how these attributes are developed through practice in the unit. See Learning Outcomes and Assessment tabs for details of how these attributes are assessed.

Attribute Development Method Attribute Developed
Basic statistical concepts and methods. Fundamentals of Science and Engineering (Level 1)

For explanation of attributes and levels see Engineering/IT Graduate Attribute Matrix 2009.

Learning outcomes are the key abilities and knowledge that will be assessed in this unit. They are listed according to the course goal supported by each. See Assessment Tab for details how each outcome is assessed.

Fundamentals of Science and Engineering (Level 1)
1. Explain univariate and bivariate data by means of the five number summary, mean, variance and standard deviation, correlation coefficient, boxplot, histogram and scatterplot.
2. Find the least squares regression line as a way of describing a linear relationship in bivariate data.
3. Use methods derived from the three axioms of probability to calculate the probabilities of simple events.
4. Understand the concept of a random variable and the meaning of the expected value and variance.
5. Apply the Binomial distribution as a model for discrete data.
6. Use the Normal distribution as a model for continuous data.
7. Understand the central limit theorem.
8. Understand the concept of hypotheses tests and P-values for finding evidence for or against simple null hypotheses, in particular using the binomial test for testing proportions, one- or two-sided z-, t- or sign-test for making inference about the population mean.
9. Understand the concept of a confidence interval.
10. Use the Chi-squared test for simple goodness of fit problems.
11. Use the R statistical computing environment to obtain numerical and graphical summaries of data, and for performing various statistical calculations.
Assessment Methods:
# Name Group Weight Due Week Outcomes
1 Assignment No 5.00 Week 6
2 Quiz 1 No 15.00 Week 8
3 Quiz 2 No 15.00 Week 12
4 Examination No 65.00 Exam Period
Assessment Description: Examination. There is one examination of 1.5 hours’ duration during the examination period at the end of semester 2. Further information about the exam will be made available at a later date.

Quizzes. There are two quizzes, each worth 15% of your final raw mark. Quizzes are held during tutorials, in week 8 (beginning 13 September) and week 12 (beginning 18 October). You should put those dates in your diary now! You must sit for the quiz during the tutorial in which you are enrolled. Your quiz mark will not be recorded if you sit for the quiz in a tutorial in which you are not enrolled (unless you have made an arrangement with the Mathematics Student Office). If you miss a quiz, then you must go to the Mathematics Student Office as soon as possible afterwards.

Assignments. One assignment will be marked, and will be worth 5% of your final raw mark. The assignment will be due on Thursday 2 September. Please see page 26 of the Junior Mathematics Handbook for details relating to the submission of assignments.

Final mark. Your final raw mark is scaled to produce your final mark. Marks are scaled so that the distribution of grades is consistent with the quality of the class, and the difficulty of the unit, as required by the University.
Online Course Content: http://www.maths.usyd.edu.au/u/UG/JM/
Note on Resources: This outline is a brief extract only. See School of Mathematics and Statistics or the Junior Mathematics website for fuller outline.

Note that the "Weeks" referred to in this Schedule are those of the official university semester calendar https://web.timetable.usyd.edu.au/calendar.jsp

Week Description
Week 6 Assessment Due: Assignment
Week 8 Assessment Due: Quiz 1
Week 12 Assessment Due: Quiz 2
Exam Period Assessment Due: Examination

Course Relations

The following is a list of courses which have added this Unit to their structure.

Course Year(s) Offered
Aeronautical / Science (Medical Science Stream) 2018, 2019, 2020, 2021, 2022
Aeronautical Engineering / Arts 2011, 2012, 2013, 2014
Aeronautical Engineering / Commerce 2010, 2011, 2012, 2013, 2014
Aeronautical Engineering / Medical Science 2011, 2012, 2013, 2014
Aeronautical Engineering / Science 2011, 2012, 2013, 2014
Aeronautical Engineering / Law 2010, 2011, 2012, 2013, 2014
Aeronautical Engineering (Space) / Commerce 2010, 2011, 2012, 2013, 2014
Aeronautical Engineering (Space) / Arts 2011, 2012, 2013, 2014
Aeronautical Engineering (Space) / Medical Science 2011, 2012, 2013, 2014
Aeronautical Engineering (Space) / Science 2011, 2012, 2013, 2014
Aeronautical Engineering (Space) / Law 2010, 2011, 2012, 2013, 2014
Biomedical Engineering / Law 2013, 2014
Biomedical Engineering / Arts 2013, 2014
Biomedical Engineering / Commerce 2013, 2014
Biomedical Engineering / Medical Science 2013, 2014
Biomedical Engineering / Science 2013, 2014
Chemical & Biomolecular Engineering / Arts 2011, 2012, 2013, 2014
Chemical & Biomolecular Engineering / Commerce 2010, 2011, 2012, 2013, 2014
Chemical & Biomolecular Engineering / Medical Science 2011, 2012, 2013, 2014
Chemical & Biomolecular Engineering / Science 2011, 2012, 2013, 2014
Chemical & Biomolecular Engineering / Law 2010, 2011, 2012, 2013, 2014
Civil Engineering / Arts 2011, 2012, 2013, 2014
Civil Engineering / Commerce 2010, 2011, 2012, 2013, 2014
Civil Engineering / Design in Architecture 2010, 2011, 2012, 2013, 2014
Civil Engineering / Medical Science 2011, 2012, 2013, 2014
Civil Engineering / Science 2011, 2012, 2013, 2014
Civil Engineering / Law 2010, 2011, 2012, 2013, 2014
Computer Engineering / Commerce 2010
Electrical Engineering / Arts 2011, 2012, 2013, 2014
Electrical Engineering / Commerce 2010, 2011, 2012, 2013, 2014
Electrical Engineering (Bioelectronics) / Arts 2011, 2012
Electrical Engineering (Bioelectronics) / Commerce 2011, 2012
Electrical Engineering (Bioelectronics) / Medical Science 2011, 2012
Electrical Engineering (Bioelectronics) / Science 2011, 2012
Electrical Engineering (Bioelectronics) / Law 2011, 2012
Electrical Engineering / Medical Science 2011, 2012, 2013, 2014
Electrical Engineering / Science 2011, 2012, 2013, 2014
Electrical Engineering (Computer) / Arts 2011, 2012, 2013, 2014
Electrical Engineering (Computer) / Commerce 2011, 2012, 2013, 2014
Electrical Engineering (Computer) / Medical Science 2011, 2013, 2014
Electrical Engineering (Computer) / Science 2011, 2012, 2013, 2014
Electrical Engineering (Computer) / Law 2011, 2012, 2013, 2014
Electrical Engineering (Power) / Arts 2011, 2012, 2013, 2014
Electrical Engineering (Power) / Commerce 2010, 2011, 2012, 2013, 2014
Electrical Engineering (Power) / Medical Science 2011, 2012, 2013, 2014
Electrical Engineering (Power) / Science 2011, 2012, 2013, 2014
Electrical Engineering (Power) / Law 2010, 2011, 2012, 2013, 2014
Electrical Engineering (Telecommunications) / Arts 2011, 2012, 2013, 2014
Electrical Engineering (Telecommunications) / Commerce 2011, 2012, 2013, 2014
Electrical Engineering (Telecommunications) / Medical Science 2011, 2012, 2013, 2014
Electrical Engineering (Telecommunications) / Science 2011, 2012, 2013, 2014
Electrical Engineering (Telecommunications) / Law 2011, 2012, 2013, 2014
Aeronautical Engineering (mid-year) 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Aeronautical / Project Management 2019+ 2019, 2020, 2021, 2022, 2023
Aeronautical Engineering 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Aeronautical / Arts (2022 and earlier) 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Aeronautical / Arts 2023+ 2023
Aeronautical / Commerce 2015, 2016, 2017, 2018, 2019, 2020
Aeronautical / Science 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Aeronautical / Law 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Aeronautical / Law 2023+ 2023
Aeronautical / Science - Mid Year 2023
Aeronautical with Space Engineering 2015, 2021, 2022, 2023
Aeronautical with Space / Arts (2022 and earlier) 2015, 2021, 2022
Aeronautical with Space / Arts 2023+ 2023
Aeronautical with Space / Commerce 2015
Aeronautical with Space / Science 2015, 2021, 2022, 2023
Aeronautical with Space / Science - Mid Year 2023
Aeronautical with Space / Law 2015, 2021, 2022
Aeronautical with Space / Law 2023+ 2023
Aeronautical with Space / Project Management 2019+ 2021, 2022, 2023
Aeronautical with Space / Science (Medical Science Stream) 2021, 2022
Aeronautical with Space Engineering (mid-year) 2021, 2022, 2023
Biomedical Engineering (mid-year) 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Biomedical / Project Management 2019+ 2019, 2020, 2021, 2022, 2023
Biomedical Engineering 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Biomedical / Arts (2022 and earlier) 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Biomedical / Arts 2023+ 2023
Biomedical / Commerce 2015, 2016, 2017, 2018, 2019, 2020
Biomedical /Science 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Biomedical / Science (Health) 2018, 2019, 2020, 2021, 2022, 2023
Biomedical / Science (Medical Science) - Mid-Year 2023
Biomedical / Science - Mid Year 2023
Biomedical / Law 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Biomedical / Law 2023+ 2023
Chemical & Biomolecular Engineering 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Chemical & Biomolecular / Arts (2022 and earlier) 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Chemical & Biomolecular / Arts 2023+ 2023
Chemical & Biomolecular / Commerce 2015, 2016, 2017, 2018, 2019, 2020
Chemical & Biomolecular / Science 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Chemical & Biomolecular / Science - Mid Year 2023, 2024, 2025
Chemical & Biomolecular / Law 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Chemical & Biomolecular / Law 2023+ 2023
Chemical & Biomolecular Engineering (mid-year) 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Chemical & Biomolecular / Project Management 2019+ 2019, 2020, 2021, 2022, 2023
Civil / Project Management 2019+ 2019, 2020, 2021, 2022, 2023
Civil Engineering 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Civil / Arts (2022 and earlier) 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Civil / Arts 2023+ 2023
Civil / Commerce 2015, 2016, 2017, 2018, 2019, 2020
Civil / Design in Architecture 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Civil / Project Management 2015, 2016, 2017, 2018
Civil / Science 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Civil / Science - Mid Year 2023
Civil / Law 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Civil / Law 2023+ 2023
Civil Engineering (mid-year) 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Electrical / Project Management 2019+ 2019, 2020, 2021, 2022, 2023
Electrical Engineering 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Electrical / Arts (2022 and earlier) 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Electrical / Arts 2023+ 2023
Electrical / Commerce 2015, 2016, 2017, 2018, 2019, 2020
Electrical / Project Management 2015, 2016, 2017, 2018
Electrical / Science 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Electrical / Science - Mid Year 2023
Electrical / Law 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Electrical / Law 2023+ 2023
Electrical Engineering (mid-year) 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Mechanical Engineering (mid-year) 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Mechanical / Project Management 2019+ 2019, 2020, 2021, 2022, 2023
Mechanical Engineering 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Mechanical / Arts (2022 and earlier) 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Mechanical / Arts 2023+ 2023
Mechanical / Commerce 2015, 2016, 2017, 2018, 2019, 2020
Mechanical / Science 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Mechanical / Science - Mid Year 2023
Mechanical / Law 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Mechanical / Law 2023+ 2023
Mechanical with Space Engineering 2015, 2021, 2022, 2023
Mechanical with Space / Arts (2022 and earlier) 2015, 2021, 2022
Mechanical with Space / Arts 2023+ 2023
Mechanical with Space / Commerce 2015
Mechanical with Space / Science 2015, 2021, 2022, 2023
Mechanical with Space / Science - Mid Year 2023
Mechanical with Space / Law 2015, 2021, 2022
Mechanical with Space / Law 2023+ 2023
Mechanical with Space / Project Management 2019+ 2021, 2022, 2023
Mechanical with Space Engineering (mid-year) 2021, 2022, 2023
Mechatronic Engineering (mid-year) 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Mechatronic / Project Management 2019+ 2019, 2020, 2021, 2022, 2023
Mechatronic with Space / Project Management 2019+ 2021, 2022, 2023
Mechatronic Engineering 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Mechatronic / Arts (2022 and earlier) 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Mechatronic / Arts 2023+ 2023
Mechatronic / Commerce 2015, 2016, 2017, 2018, 2019, 2020
Mechatronic / Science 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Mechatronic / Science (Health) 2018, 2019, 2020, 2021, 2022
Mechatronic / Science - Mid Year 2023
Mechatronic / Law 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Mechatronic / Law 2023+ 2023
Mechatronic with Space Engineering 2015, 2021, 2022, 2023
Mechatronic with Space / Arts (2022 and earlier) 2015, 2021, 2022
Mechatronic with Space / Arts 2023+ 2023
Mechatronic with Space / Commerce 2015
Mechatronic with Space / Science 2015, 2021, 2022, 2023
Mechatronic with Space / Law 2015, 2021, 2022
Mechatronic with Space / Law 2023+ 2023
Mechatronic with Space / Science - Mid Year 2023
Mechatronic with Space Engineering (mid-year) 2021, 2022, 2023
Software Engineering (mid-year) 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Software / Project Management 2019+ 2019, 2020, 2021, 2022, 2023
Software Engineering 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Software / Arts (2022 and earlier) 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Software / Arts 2023+ 2023
Software / Commerce 2015, 2016, 2017, 2018, 2019, 2020
Software / Project Management 2015, 2016, 2017, 2018
Software / Science 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Software / Science (Health) 2018, 2019, 2020, 2021, 2022
Software / Science - Mid Year 2023
Software / Law 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Software / Law 2023+ 2023
Mechanical Engineering / Arts 2011, 2012, 2013, 2014
Mechanical Engineering / Commerce 2010, 2011, 2012, 2013, 2014
Mechanical Engineering (Biomedical) / Arts 2011, 2012
Mechanical Engineering (Biomedical) / Commerce 2010, 2011, 2012
Mechanical Engineering (Biomedical) / Medical Science 2010, 2011, 2012
Mechanical Engineering (Biomedical) / Science 2011, 2012
Mechanical Engineering (Biomedical) / Law 2010, 2011, 2012
Mechanical Engineering / Medical Science 2011, 2012, 2013, 2014
Mechanical Engineering / Science 2011, 2012, 2013, 2014
Mechanical Engineering / Law 2010, 2011, 2012, 2013, 2014
Mechanical Engineering (Space) / Arts 2011, 2012, 2013, 2014
Mechanical Engineering (Space) / Commerce 2010, 2011, 2012, 2013, 2014
Mechanical Engineering (Space) / Medical Science 2012, 2013, 2014
Mechanical Engineering (Space) / Science 2011, 2012, 2013, 2014
Mechatronic Engineering / Arts 2011, 2012, 2013, 2014
Mechatronic Engineering / Commerce 2010, 2011, 2012, 2013, 2014
Mechatronic Engineering / Medical Science 2011, 2012, 2013, 2014
Mechatronic Engineering / Science 2011, 2012, 2013, 2014
Mechatronic Engineering (Space) / Arts 2011, 2012, 2013, 2014
Mechatronic Engineering (Space) / Commerce 2010, 2011, 2012, 2013, 2014
Mechatronic Engineering (Space) / Medical Science 2011, 2012, 2013, 2014
Mechatronic Engineering (Space) / Science 2011, 2012, 2013, 2014
Mechatronic Engineering (Space) / Law 2010, 2011, 2012, 2013, 2014
Project Engineering and Management (Civil) / Arts 2011
Project Engineering and Management (Civil) / Commerce 2010, 2011
Project Engineering and Management (Civil) / Science 2011
Software Engineering / Arts 2011, 2012, 2013, 2014
Software Engineering / Commerce 2010, 2011, 2012, 2013, 2014
Software Engineering / Medical Science 2011, 2012, 2013, 2014
Software Engineering / Science 2011, 2012, 2013, 2014
Software Engineering / Law 2010, 2011, 2012, 2013, 2014
Biomedical / Science (Medical Science Stream) 2018, 2019, 2020, 2021, 2022, 2023
Chemical & Biomolecular / Science (Medical Science Stream) 2018, 2019, 2020, 2021, 2022, 2026
Civil / Science (Medical Science Stream) 2018, 2019, 2020, 2021, 2022
Flexible First Year 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Flexible First Year / Science 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Flexible First Year / Project Management 2019+ 2019, 2020, 2021, 2022, 2023
Flexible First Year / Arts 2023+ 2023
Flexible First Year / Law 2023+ 2023
Flexible First Year (Stream A) / Arts 2013, 2014
Flexible First Year (Stream A) / Commerce 2011, 2012, 2013, 2014
Flexible First Year (Stream A) / Medical Science 2012, 2013, 2014
Flexible First Year (Stream A) / Science 2012, 2013, 2014
Flexible First Year (Stream B) / Medical Science 2012, 2013
Mechanical / Science (Medical Science Stream) 2018, 2019, 2020, 2021, 2022
Mechatronic / Science (Medical Science Stream) 2018, 2019, 2020, 2021, 2022
Mechatronic with Space / Science (Medical Science Stream) 2021, 2022
Software / Science (Medical Science Stream) 2018, 2019, 2020, 2021, 2022
Bachelor of Computer Science and Technology 2015, 2016, 2017, 2025
Civil / Commerce 2023+ (mid-year) 2023

Course Goals

This unit contributes to the achievement of the following course goals:

Attribute Practiced Assessed
Fundamentals of Science and Engineering (Level 1) Yes 0%

These goals are selected from Engineering/IT Graduate Attribute Matrix 2009 which defines overall goals for courses where this unit is primarily offered. See Engineering/IT Graduate Attribute Matrix 2009 for details of the attributes and levels to be developed in the course as a whole. Percentage figures alongside each course goal provide a rough indication of their relative weighting in assessment for this unit. Note that not all goals are necessarily part of assessment. Some may be more about practice activity. See Learning outcomes for details of what is assessed in relation to each goal and Assessment for details of how the outcome is assessed. See Attributes for details of practice provided for each goal.