Relative Frequency
Relative frequency indicates how frequently a specific value or event occurs about the total number of observations. It is frequently stated as a percentage or fraction. The following formula can be used to get relative frequency:
Relative Frequency = Frequency of a Value or Event / Total Number of Observations
In mathematical terms, if fi represents the frequency of a specific value or event, and N is the total number of observations, the relative frequency (RFi) is given by:
RFi = fi / N
Relative Cumulative Frequency
Relative cumulative frequency is an expansion of relative frequency. It shows the relative frequencies’ cumulative (running) total up to a given value. The following formula can be used to get relative cumulative frequency:
[Tex]\text{Relative Cumulative Frequency} = \sum_{i=1}^{n} \text{Relative Frequency}_i [/Tex]
To put it another way, you total up each of the distinct relative frequencies from the first to the nth observation.
For example, Find the relative cumulative frequency for the table added below,
Marks | 10 | 20 | 30 | 40 | 50 |
---|---|---|---|---|---|
Number of students | 6 | 9 | 4 | 3 | 1 |
The relative cumulative frequency table for the same is added below,
Score | Frequency | Relative Frequency | Relative Cumulative Frequency |
---|---|---|---|
10 | 6 | 6/24 = 0.25 |
0.25 |
20 | 9 | 9/24 = 0.375 |
0.25 + 0.375 = 0.625 |
30 | 4 | 4/24 = 0.1667 |
0.625 + 0.1667 = 0.7917 |
40 | 3 | 3/24 = 0.125 |
0.7917 + 0.125 = 0.9167 |
50 | 1 | 1/24 = 0.041667 | 0.9167 + 0.041667 = 1(approx) |
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Cumulative Frequency
Cumulative Frequency: In statistics, cumulative frequency is defined as the sum of frequencies distributed across various class intervals. This involves organizing the data and their totals into a table where the frequencies are allocated according to each class interval.
In this article, we will cover a thorough explanation of cumulative frequency, cumulative frequency curve, formula, and a few examples based on it for better understanding.
Table of Content
- What is Cumulative Frequency?
- Cumulative Frequency Formula
- Cumulative Frequency Distribution
- Types of Cumulative Frequency
- How to Calculate Cumulative Frequency?
- Cumulative Frequency Table
- Cumulative Frequency Curve
- Cumulative Frequency Polygon
- Cumulative Frequency Graph
- Relative Frequency
- Cumulative Frequency Solved Examples
- Cumulative Frequency Practice Problems