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Refresh and improve your maths skills!
The resources on this page contain easy-to-understand explanatory notes, worked examples and exercises for each topic. Begin with our guides to studying mathematics.
Download the workshop presentation slides (PDF, 7131 KB) from the Basic Statistics Short Course. Alternatively, you can access resources based on particular topics:
- Collecting data (PDF, 1553 KB)
- Representing data - graphing (PDF, 2902 KB)
- Describing data - measures of central tendency (PDF, 1871 KB)
- Describing data - measures of spread (PDF, 2172 KB)
- Normal distributions (PDF, 1322 KB)
- Sample vs. population distributions (PDF, 1347 KB)
- Probability and confidence intervals (PDF, 1052 KB)
- Hypothesis testing (PDF, 1359 KB)
- Basics of R (PDF, 1224 KB)
Self-help tutorials are available by logging on to LinkedIn Learning https://www.jcu.edu.au/library/learn/linkedinlearning using your JC number and password.
Helpful statistics tutorials are suggested here:
- Maths Refresher Workbook 1 (PDF, 978 KB)
- Maths Refresher Workbook 2 (PDF, 1278 KB)
- Working with numbers (PDF, 539 KB)
- Working with decimals (PDF, 1069 KB)
- Working with fractions (PDF, 746 KB)
- Averages and percentages (PDF, 661 KB)
- Ratios and unit conversions (PDF, 865 KB)
- Powers and roots (PDF, 665 KB)
- Simplifying equations (PDF, 1017 KB)
- Solving equations (PDF, 653 KB)
- Expanding and factorising (PDF, 833 KB)
- Introduction to Maths (PDF, 975 KB)
- Working with fractions (PDF, 684 KB)
- Ratios and percentages (PDF, 539 KB)
- Powers, roots and logarithms (PDF, 654 KB)
- Algebra basics (PDF, 487 KB)
- Solving equations (PDF, 565 KB)
- Geometry (PDF, 718 KB)
- Trigonometry (PDF, 780 KB)
- R Studio Basics (PDF, 1091 KB)
- Power operations and scientific notation (PDF, 379 KB)
Many word problems in science, engineering, maths, business and health require numerical calculations to solve. You will apply your understanding of your discipline to tackle the problem, but you may also need to apply some mathematical skills to find the solution. Developing a strategy for approaching problems may help overcome the ‘Where do I start?’ hurdle. Two suggested approaches are given below.
The problem-solving template will help you dissect the question and clarify a path to finding the answer, particularly for non-routine (abstract or subjective) questions.
Problem Solving Template (DOCX, 44 KB)
The checklist approach will help ensure accuracy 100% of the time for more routine problems.
In research, and more recently in public forums, statements and decisions are increasingly required to be supported or justified using data. Statements and decisions are now commonly supported by data representations, but sometimes these representations are misleading or incorrect. We need to know how to critically evaluate graphs so we can establish the validity of any data representation and ensure that it actually supports the claim.
Maths Anxiety is a real thing and it is very common! It is estimated that 20% of all people are affected by anxiety when faced with situations involving mathematics. Maths anxiety can affect your ability to do mathematics, but it does not mean you are bad at mathematics. Conversely, you are probably better at mathematics than your results show. Maths anxiety affects your ability to use your brain to do maths. It is not that you cannot learn maths or that you're bad at maths, but that the anxiety you feel reduces your capacity to learn or do maths. You can continue to learn maths, even with maths anxiety. Better still, there are strategies you can use to reduce maths anxiety, and thus improve your maths performance.