Type of Frequency Distribution

Type of Frequency Distribution 

• A frequency distribution summarizes how often different values occur in a dataset. 

• It can be presented as a table or graph, such as a histogram, bar graph, or pie chart. 

• Depending on the nature of the data, different types of frequency distributions are used to capture and analyze data effectively. 

Main Types of Frequency Distributions: 

1. 1. Discrete Frequency Distribution 
   2. Continuous Frequency Distribution 
   3. Cumulative Frequency Distribution 

2. Discrete Frequency Distribution 

• Used for categorical or countable data, where the values are distinct and separate (e.g., number of students, cars, books). 
• Typically applied to whole numbers or non-divisible units. 
• Example: Number of Books Read by Students in a Month 
• A survey of 20 students recorded how many books each student read in the past month. The data: 
• 0, 1, 2, 1, 3, 2, 0, 1, 4, 2, 0, 1, 3, 2, 0, 1, 4, 2, 0, 1 

• This table shows a discrete frequency distribution for the number of books read. 

1. Continuous Frequency Distribution 

• Used for measurable data that can take any value within a given range. 

• The data is grouped into intervals, as individual values may vary continuously and infinitely. 

• Example: Heights of 20 People 

• Height measurements of 20 individuals were grouped as follows: 

• This table represents a continuous frequency distribution of height, grouped into class intervals. 

1. Cumulative Frequency Distribution 

• Shows the running total of frequencies up to a certain value or class. 

• Can be used with both discrete and continuous data. 

• Useful for determining percentiles, medians, and understanding data distribution over time or values. 

• Example: 

• Cumulative Distribution of Books Read (from Example 1) 

• This cumulative frequency distribution shows, for example, that 16 students read up to 2 books. 

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