Relative Frequency (Edexcel GCSE Maths): Flashcards

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Relative frequency
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Definition of relative frequency

A statistical method to estimate probability of events based on experimental data

Formula for relative frequency

FrequencyNumber of trials\frac{\text{Frequency}}{\text{Number of trials}}

Range of relative frequency values

Between 0 and 1

What is frequency in experiments?

Count of how often each outcome occurs

Purpose of relative frequency

Estimate probability of future events

How to detect bias using relative frequency

Compare experimental results to theoretical expectations

Expected relative frequency for fair dice (each number)

Roughly 16\frac{1}{6} or approximately 0.17

Law of Large Numbers (relative frequency context)

Relative frequencies approach true probabilities with more trials

Effect of larger sample sizes on estimates

More reliable and accurate probability estimates

What does relative frequency of 0 mean?

Event never occurred in trials

What does relative frequency of 1 mean?

Event occurred in every trial

Spinner: 25 red out of 100 spins. Relative frequency?

25100=0.25\frac{25}{100} = 0.25

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