Relative Frequency

## Relative Frequency

Relative frequency relates directly to trials taking place (as part of an experiment, or measuring practical results).

Relative frequency = frac(text(number of indicative trials))(text(total number of trials)). The term indicative trials is the trial that is being measured; for example, measuring the number of 6s when throwing a dice.

To improve the accuracy of the relative frequency obtained by a set of trials, increase the number of trials being conducted. For example, 1000 trials will give a far more accurate value of a relative frequency than 20 trials.

## Example 1

Sam has written a computer program that generates a random number. The random numbers are always 1, 2, 3, 4 or 5. The results are shown below after he had tested it 200 times.

 1 2 3 4 5 Frequency 38 36 32 25 69

Is the random number generator truly random?

There appears to be a bias towards 5 being generated.

Relative frequency = frac(text(number of indicative trials))(text(total number of trials))
Relative frequency = frac(78)(1000) = 0.078