In the world of data structures, the term “range” refers to a continuous sequence of values within a given set. The range can be defined for various types of data, such as numbers, characters, or even dates. Understanding the concept of range is essential when it comes to working with data and performing operations on it.

## Defining Range in Data Structures

Range can be defined as the difference between the maximum and minimum values in a set. It represents the span or extent of values within that set. For example, if we have a set of numbers {1, 2, 3, 4, 5}, the range would be 5 – 1 = 4.

### Range in Numbers

When dealing with numerical data, finding the range can provide valuable insights into its distribution and variability. It allows us to understand how spread out or concentrated the values are within a dataset.

To find the range of a set of numbers, follow these steps:

**Step 1:**Sort the numbers in ascending order.**Step 2:**Subtract the smallest value from the largest value.**Step 3:**The result is the range of the dataset.

Let’s take an example to illustrate this:

- We have a dataset: {10, 5, 8, 12, 15}
__Step 1:__Sorting in ascending order: {5, 8, 10, 12, 15}__Step 2:__Subtracting smallest value from largest value: 15 – 5 = 10__Step 3:__The range of the dataset is 10.

### Range in Characters

The concept of range is not limited to numbers; it can also be applied to characters. In this case, the range represents the span of characters between the minimum and maximum values.

To find the range of characters in a set, follow these steps:

**Step 1:**Arrange the characters in ascending order based on their ASCII values.**Step 2:**Subtract the ASCII value of the smallest character from that of the largest character.**Step 3:**The result is the range of characters.

Let’s take an example to understand this better:

- We have a set of characters: {‘a’, ‘c’, ‘e’, ‘g’, ‘i’}
__Step 1:__Arranging in ascending order: {‘a’, ‘c’, ‘e’, ‘g’, ‘i’}__Step 2:__Subtracting ASCII value of smallest character from largest character: (‘i’ – ‘a’) = (105 – 97) = 8__Step 3:__The range of characters is 8.

## In Conclusion

The concept of range plays a crucial role in understanding and analyzing data structures. It provides valuable insights into how values are distributed within a set. Whether working with numerical or character data, finding the range allows us to quantify the extent of variation and make informed decisions based on that information.

So, next time you encounter a dataset, remember to calculate its range to gain a deeper understanding of the underlying data.