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Expected Frequency

Online Maths Courses

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Expected frequency predicts how many times an outcome should occur over many trials, as probability × number of trials, and compares expected with observed frequencies. It's a core topic in GCSE and iGCSE Maths with Edexcel and the other major boards. This free interactive eClassroom course walks through each step with worked examples and instant-feedback questions, so you can practise until it's secure.

How you do it

Multiply the probability by the number of trials. The answer is what you would expect on average, so it need not be a whole number, and the actual result will vary around it.

Before you start

Best tackled after basic probability and multiplication. Keep it sharp for predicting outcomes from data. It is Foundation and Higher tier material at GCSE and iGCSE.

What you learn

Expected frequency predicts how many times an event should happen over a number of trials — using the probability and the number of trials. It’s a prediction — the actual count is usually a little different. A relative frequency from a sample can be used to predict for a larger number, in exactly the same way. The course works through expected frequency, predicting with relative frequency and working backwards. Every section has instant-feedback practice questions matched to Edexcel iGCSE 4MA1 and the other major GCSE boards, and the course finishes with full exam-style questions you mark yourself.

Related Topics

We teach Expected Frequency as one of the Probability topics in our GCSE course library, at Foundation tier. The course is built from 3 concept sections, 2 worked examples and 3 check points before the exam-style set. Nearby topics in the same strand are Mutually Exclusive Events, Relative Frequency, Sample Space Diagrams and Tree Diagrams. The Probability revision engine gives you as many extra questions as you want, tracked on your skill tree.

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