Introduction
Range is a fundamental concept in mathematics that measures the difference between the highest and lowest values in a set of data. Understanding range is crucial for analyzing and interpreting data in various fields such as statistics, economics, and science.
Definition of Range
The range of a set of numbers is calculated by subtracting the lowest value from the highest value. It provides a measure of the spread or variability of the data set.
Examples
For example, consider the data set {2, 5, 8, 10, 15}. The highest value is 15 and the lowest value is 2. Therefore, the range is 15-2=13.
Case Studies
Range is commonly used in statistical analysis to compare different data sets. For instance, in a study comparing the heights of students in two different classes, calculating the range can help determine which class has a wider range of heights.
Statistics
In a survey of 100 households, the range of annual incomes was found to be $20,000, with the lowest income being $30,000 and the highest income being $50,000.
Conclusion
Range is a valuable tool in mathematics for understanding the spread of data and identifying outliers. By calculating the range, analysts can gain insights into the variability of a data set and make informed decisions based on the results.
