How to Calculate Cumulative Frequency?
Cumulative frequency is a statistical method that can be used to organize and examine data. It involves adding up all of the values of frequencies cumulatively within a dataset. Here’s a step-by-step explanation to find the cumulative frequency of the given dataset:
Step 1: Organize Data
To get started, form the dataset into ascending or descending order.
Step 2: Create a Frequency Table
Make a frequency table with the Value column and Frequency column then List all unique values in the dataset and their corresponding frequency.
Step 3: Add Cumulative Frequencies
Create a new column labeled “Cumulative Frequencies” in the frequency table. The cumulative frequency for the first row is the same as the frequency. Add the current row’s frequency to the previous row’s cumulative frequency for each subsequent row.
Example: Creating a Cumulative Frequency table with the below values and frequencies
Values | 10 | 15 | 20 | 25 | 30 |
---|---|---|---|---|---|
Frequency | 3 | 2 | 4 | 1 | 5 |
Solution:
Start by arranging data in ascending order and write the corresponding frequency of each in a table. Then find the cumulative frequency of each by adding the frequency of the previous observation/value.
Value | Frequency | Cumulative Frequency |
---|---|---|
10 | 3 | 3 |
15 | 2 | 3+2=5 |
20 | 4 | 5+4=9 |
25 | 1 | 9+1=10 |
30 | 5 | 10+5=15 |
In this example, the cumulative frequency represents the sum of the frequencies up to a specific value.
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
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