Introductory statistics
What introductory statistics means
You practise reading data, working with chance, and making simple decisions from samples. This matters because it helps you judge results in tests, reports, and research work with care.
What you will practise
- Work out probabilities from simple sample spaces and fraction forms.
- Recognise the standard normal distribution and its mean and spread.
- Interpret p-values against a chosen significance level.
- Decide whether to reject or keep a null hypothesis.
Before you start
You should be comfortable with fractions, percentages, and basic algebra. It also helps if you can read tables and follow simple step-by-step calculations.
Not confident yet? Work through Differential calculus first.
Worked example
One question from this skill's own question bank, shown with its full working.
A p-value of 0.03 at a 5 percent significance level means:
- Accept the null hypothesis
- Reject the null hypothesis
- The test is invalid
- The sample is too small
Working: Because 0.03 is less than 0.05, the result is significant and we reject the null hypothesis.
Common mistakes to avoid
- Mixing up the p-value and the significance level when making a decision.
- Forgetting that the standard normal distribution has mean 0 and standard deviation 1.
- Counting favourable outcomes wrongly by missing all valid cases in the sample space.
- Treating a small p-value as proof of the alternative hypothesis rather than evidence against the null.
Curriculum and exam alignment
This topic usually appears in early university or tertiary foundation statistics before more advanced inference. It supports later coursework and professional entrance tests where you must interpret data, probability, and hypothesis test results.
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 Mathematics skills in Maths, at the same point in the course.
Other Maths topics
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Exams that assess introductory statistics
University work on this skill feeds directly into these exam papers. Each page lists the Maths topics that appear on it.
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Practise introductory statistics
5 questions with a worked answer after every attempt, and a SmartScore that tracks how close you are to mastery.