Descriptive Statistics & Probability
What descriptive statistics & probability means
This skill helps you describe data with averages and spread, then use simple chance ideas to answer short questions. It matters because you need it for clear data interpretation in later statistics work and many entry tests.
What you will practise
- Find the mean from a small set of numbers.
- Identify the median after ordering the data.
- Choose the correct spread measure for a data set.
- Use basic probability language for simple events.
Before you start
You should be comfortable with arithmetic, ordering numbers, and reading simple tables or lists. You also need to know fractions and decimals at a basic level.
Worked example
One question from this skill's own question bank, shown with its full working.
The mean of the data set 2, 4, 6, 8 is
- 5
- 4
- 6
- 20
Working: Mean = (2 + 4 + 6 + 8) / 4 = 20 / 4 = 5.
Common mistakes to avoid
- Adding values correctly but forgetting to divide by the number of items for the mean.
- Taking the middle value without first arranging the data in order.
- Mixing up standard deviation with range or variance in spread questions.
- Treating every simple chance statement as certain instead of using probability rules.
Curriculum and exam alignment
In university and tertiary foundation programmes, this topic usually appears early in introductory statistics work and general maths support. It links directly to later coursework and professional entrance tests that ask for data summaries and basic probability.
Curriculum notes are a general guide to where this work normally sits. Always check the syllabus your school or examination body is currently using.
Related skills
Other University Statistics skills in Maths, at the same point in the course.
Other Maths topics
Related study guides
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Exams that assess descriptive statistics & probability
University work on this skill feeds directly into these exam papers. Each page lists the Maths topics that appear on it.
How this page was produced
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Practise descriptive statistics & probability
7 questions with a worked answer after every attempt, and a SmartScore that tracks how close you are to mastery.
