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Encyclopedia > Relative frequency

In a series of observations, or trials, the relative frequency of occurrence of an event is calculated as:

\mbox{relative frequency of event } E = {\mbox{number of times the event } E \mbox{ happened} \over \mbox{total number of observations made}}

The of an event over a long series of trials is the conceptual foundation of the frequency interpretation of probability. In this framework, it is assumed that as the length of the series increases without bound, the fraction of the experiments in which we observe the event will stabilize. This interpretation is often contrasted with Bayesian probability.


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  Results from FactBites:
 
FREQUENCY DISTRIBUTIONS (850 words)
Relative is the term used to indicate that the percentages or proportions are used in addition to the number of cases.
A histogram is a pictorial representation of a frequency distribution in which the scores (X) are plotted on the X-axis of a graph and the frequency (or relative frequency) of occurrences is plotted on the Y-axis.
A frequency polygon is a pictorial representation of a frequency distribution in which the scores (X) are plotted on the X-axis of the graph and the frequency (or relative frequency) of occurrences is plotted on the Y-axis.
Probability Definitions (797 words)
The relative frequency of an event E is defined as the proportion of n trials which result in E. If the number of trials n is large, the proportion of trials resulting in E is a good estimate of the true probability that E will occur.
Exercise #1 demonstrates the relative frequency and a priori definitions of probability using an urn with 10 balls.
Exercise #2 demonstrates the relative frequency and a priori definitions of probability using an urn with 100 balls.
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