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RELATIVE FREQUENCY FORMULA

We come across repetitive data in a observation all the time. When a repetitive data is given, then the number of times it has been in the observation is called its frequency. Relative frequency is the comparison between the number of times a number has been repeated to the total frequencies of all the numbers. Mathematically speaking, relative frequency is the division between individual frequency of an item by the total number of repetition that has occurred.

The formula for the relative frequency is given as:

\[\large Relative\;Frequency=\frac{f}{n}\]

Here,
f is the number of times the data occurred in an observation
n  = total frequencies

Solved Example

Question: Construct the relative frequency table for the following data:
4, 1, 2, 4, 5, 1, 5, 7, 9, 0, 5, 3, 2, 5, 9, 5, 2, 3, 0, 8

Solution:

 

x f f/n
0 2 2/20 = 0.1
1 2 2/20 = 0.1
2 2 2/20 = 0.1
3 2 2/20 = 0.1
4 2 2/20 = 0.1
5 5 5/20= 0.25
6 0 0/20 = 0
7 1 1/20= 0.05
8 1 1/20= 0.05
9 2 2/20= 0.1
   n= 20