Grasping the Concept of Relative Frequency Formula
In data analysis, we often encounter recurring data. The count of times a particular data point appears is termed its frequency. On the other hand, relative frequency is a comparison of the frequency of a specific data point to the total frequencies of all data points. In mathematical terms, relative frequency is computed by dividing the individual frequency of a data point by the total frequencies of all data points.
The relative frequency formula is expressed as:
\[\large Relative\;Frequency=\frac{f}{n}\]
Where,
f
represents the frequency of a particular data point in a dataset
n
denotes the total frequencies of all data points
Illustrative Example
Problem:
Create the relative frequency table for the given data:
3, 2, 1, 3, 6, 2, 6, 8, 10, 0, 6, 4, 1, 6, 10, 6, 1, 4, 0, 9
Solution:
| x | f | f/n |
| 0 | 2 | 2/20 = 0.1 |
| 1 | 3 | 3/20 = 0.15 |
| 2 | 2 | 2/20 = 0.1 |
| 3 | 2 | 2/20 = 0.1 |
| 4 | 2 | 2/20 = 0.1 |
| 6 | 5 | 5/20= 0.25 |
| 7 | 0 | 0/20 = 0 |
| 8 | 1 | 1/20= 0.05 |
| 9 | 1 | 1/20= 0.05 |
| 10 | 2 | 2/20= 0.1 |
| n= 20 |