Math Probability Absolute and relative frequency

Absolute and relative frequency

Absolute frequency

The absolute frequency indicates how often a particular event occurs in an experiment. It is always a natural number between zero and the total number of trials.

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Hint

The absolute frequency refers only to the number/frequency of a particular event.

Relative frequency

The relative frequency describes how large the proportion of the absolute frequency is in the total number of experiments. It is calculated as follows:

$\text{relative frequency} \ n_i$ $=\frac{\text{absolute frequency} \ f_i}{\text{Number of attempts} \ N}$

Example

A coin is thrown 10 times. You get 6 times tail and 4 times head. Specify the absolute and relative frequency.

Absolute frequency:

$f_{10}(tail)=6$
$f_{10}(head)=4$

Relative frequency:

$N=10$
$n_{10}(tail)=\frac{6}{10}=\frac{3}{5}$
$n_{10}(head)=\frac{4}{10}=\frac{2}{5}$