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What is a Continuous Frequency Distribution?
A Continuous Frequency Distribution is used when dealing with data that can take any value within a specific range, such as height, weight, or time. Since these values are measured rather than counted, we organize the data into Classes or Intervals (e.g., 10-20, 20-30) to make it manageable and readable.
Key Components of Grouped Data
- Class Intervals: The range of values in each group (for example: 150 to 160 cm).
- Class Mark (Midpoint): The center of each interval. It is calculated by adding the lower and upper limits and dividing by 2.
- Frequency (f): The number of data points falling within a specific interval.
- Lower & Upper Boundaries: The precise limits that ensure there are no gaps between the data classes.
Visualizing Continuous Data
Unlike discrete data which is often shown in bar charts, continuous data is best represented by a Histogram. In a histogram, the bars touch each other, reflecting the continuous nature of the variable. This structure allows us to estimate important measures like the Mean and Median for grouped data.