How to Find the Range of Grouped Data

Answer: To find the range of grouped data, subtract the lowest value in the dataset from the highest value within each group.

Finding the range of grouped data involves determining the difference between the highest and lowest values within each group or interval. Here’s a step-by-step explanation:

1. Understand Grouped Data: Grouped data is data that has been organized into intervals or groups, often for easier analysis or visualization. Each group represents a range of values rather than individual data points.
2. Identify Group Intervals: Review the grouped data to identify the intervals or groups into which the data has been divided. Each interval represents a range of values.
3. Find the Highest and Lowest Values in Each Group: Within each group or interval, determine the highest (maximum) and lowest (minimum) values. These values represent the upper and lower bounds of the range for that group.
4. Calculate the Range for Each Group: Subtract the lowest value from the highest value within each group. The result is the range for that particular group.
5. Aggregate or Interpret Results: Depending on your analysis objectives, you may choose to aggregate the range values across all groups to obtain an overall range for the entire dataset. Alternatively, you can interpret the ranges within each group individually to understand the variability of the data within different intervals.
6. Consider Visualization or Further Analysis: Visualize the range of grouped data using histograms, box plots, or other graphical representations to gain insights into the distribution and variability of the data. You may also conduct further statistical analysis or comparisons based on the range values.
7. Example: Let’s say you have grouped data representing the ages of individuals in different age groups: 0-10, 11-20, 21-30, and so on. To find the range for each group, you would determine the highest and lowest ages within each interval. For instance, if the highest age in the 0-10 group is 10 and the lowest age is 1, the range for that group would be 10 – 1 = 9. Repeat this process for each group to find the ranges across all intervals.

By following these steps, you can effectively find the range of grouped data, enabling you to analyze the variability and spread of values within different intervals or categories.