# Find What is Relative Frequency And How to Calculate It

What is relative frequency? How is it calculated? Read this post to get the answers.

ScienceStruck Staff

Last Updated: Aug 29, 2018

What is Frequency in Probability and Statistics

Frequency is the number of times an event occurs in any experiment. For example, consider the experiment to be the tossing of a coin. Let an event be the falling of a coin with the 'Heads' side up. The frequency of the event that the coin falls with the head side up would be the number of times that happens.

Absolute Frequency

Absolute frequency of the event is the exact number of times the event actually occurs during an experiment. In the earlier experiment, the absolute frequency of the coin falling with its heads up is 4.

Relative Frequency

It is the ratio of the absolute frequency of a particular successful event, with the total number of events. It is the absolute frequency normalized to the total number of events that occur in the experiment. In the earlier example, while the absolute frequency of the heads turning up is 4―the frequency is 4/10, which is 2/5.

Formula

Let us formally define the formula which will help in calculation. Here it is:

where n

*Relative Frequency of an Event 'A'***=**(# of times the event A successfully occurs) / (total # of events) = n_{i}/ N.where n

_{i}is the absolute frequency of an event and 'N' is the total number of events.Calculation

When calculating it for any event, you have to first calculate the absolute frequency of the occurrence of that event or data point. Then divide that number by the total number of events in the experiment or total set of data points, to get the relative frequency of that event.