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Cumulative Frequency Distribution

A form of a frequency distribution that represents the sum of a class and all classes below it

What is Cumulative Frequency Distribution?

Cumulative frequency distribution is a form of a frequency distribution that represents the sum of a class and all classes below it. Remember that frequency distribution is an overview of all distinct values (or classes of values) and their respective number of occurrences.

The cumulative frequency distribution is extremely helpful when we need to determine the frequency up to a certain threshold.

 

How to Create a Cumulative Frequency Table?

A cumulative frequency table is a simple visual representation of the cumulative frequencies for each distinct value or category.

Consider the following example. As a financial analyst in an e-commerce company, you want to understand how frequently customers purchase your products that are priced up to $500.

Your problem can be solved using the cumulative frequency table. The table can be easily built by following the steps below:

  1. Find the individual frequencies for each distinct value or category.
  2. Arrange the obtained data in the ascending order.

 

Sample Cumulative Frequency Table

 

  1. The cumulative frequency of a distinct category (in our example, a price range) is calculated by finding the sum of a category’s frequency and the total frequencies of all categories below it. Note that the cumulative frequency of the first category equals the category’s individual frequency.

 

Let’s find the cumulative frequencies for a few categories in our example:

Cumulative Frequency ($0-$50) = 800

Cumulative Frequency ($50-$100) = 800 + 1200 = 2000

Cumulative Frequency ($100-$500) = 800 + 1200 + 700 = 2700

 

Our cumulative frequency table should look like the one below:

 

Results Table

 

Using the table above, you can easily identify that the customers purchased 2,700 times products with prices up to $500.

 

How to Create a Cumulative Frequency Distribution Graph in Excel?

A cumulative frequency distribution graph is another powerful tool to visualize the cumulative frequency distribution. The graph can be created as an addition to the cumulative frequency distribution table. It can be easily done using Microsoft Excel.

 

The creation of the cumulative frequency distribution graph involves the following steps:

  1. Create the cumulative frequency distribution table in Excel using the steps described in the previous section.
  2. In the table, select the columns that contain the names of values or categories and the column that contains the cumulative frequencies. Select Insert -> Charts -> Scatterplot -> Scatter with Smooth Lines (or Scatter with Straight Lines).

 

Scatter with Smooth Lines

 

Alternatively, you can select Insert -> Charts -> Bar Chart -> Clustered Columns. The method creates a simple histogram.

 

Histogram

 

More Resources

CFI offers the Financial Modeling & Valuation Analyst (FMVA)™ certification program for those looking to take their careers to the next level. To keep learning and advancing your career, the following resources will be helpful:

  • Basic Statistics Concepts in Finance
  • Buyer Types
  • Central Tendency
  • Types of Graphs

Financial Analyst Certification

Become a certified Financial Modeling and Valuation Analyst (FMVA)® by completing CFI’s online financial modeling classes and training program!