The difference between grouped and ungrouped frequency distribution lies primarily in how data is organized and presented.Ungrouped Frequency Distribution:

• Definition: This type of distribution presents raw data values without any classification or categorization. Each individual data point is listed along with its frequency.
• Characteristics:
  • Data is shown in its original form, making it easy to see each unique value.
  • It is suitable for small datasets where the number of unique values is manageable.
  • Example: If survey responses include ages like 22, 25, 22, and 30, an ungrouped frequency distribution would list these ages and their respective counts.

Grouped Frequency Distribution:

• Definition: In contrast, grouped frequency distribution organizes data into classes or intervals (also known as bins). This approach condenses the data into a more manageable format.
• Characteristics:
  • Useful for larger datasets or when data spans a wide range of values, as it simplifies analysis and visualization.
  • Each class interval represents a range of values, such as "20-29" or "30-39", allowing for easier identification of trends and patterns.
  • Example: The same age data could be grouped into intervals like "20-29" with a count of 3 if three ages fall within that range.