Relative and Expected Frequency (HSC SSCE Mathematics Standard): Flashcards

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Relative and Expected Frequency
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Relative frequency

Experimental probability based on actual observed results

Formula for relative frequency

fn\frac{f}{n} where ff = frequency, nn = total trials

Three ways to express relative frequency

Fraction, decimal, or percentage

Simulation

Mathematical model representing a real experiment

When to use simulations

When real experiments are too costly or time-consuming

Expected frequency

Predicted number of occurrences based on probability theory

Formula for expected frequency

npnp where nn = trials, pp = probability

Law of large numbers

More trials = actual results closer to expected frequency

ff and nn in relative frequency formula

ff = frequency of event, nn = total trials

nn and pp in expected frequency formula

nn = trials, pp = probability

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