Home > Pre-algebra > Central Tendency > Range Of A Dataset

## Range Of A Dataset

#### Introduction

The range of a set of numbers is the difference between the largest and smallest values in the set. The range tells you the size of the interval that the numbers are distributed over.

#### Terms

Range - The range is the difference between the highest and lowest values.

## Lesson

To find the range of a set of numbers, simply subtract the smallest number from the largest number.

For example, the range of the set is

## Examples

#### Find the Range (Example 1)

Find the range of the data set
Right now the numbers are out of order, so it is difficult to tell which number is the largest or the smallest. So first put the numbers in order:
Now it is easier to see that the smallest number in the list is 1 and the largest number is 15
To find the range, subtract 1 from 15:
The range of the set is 14

#### Find The Range (Example 2)

Each day Mia went for a walk. On Monday she walked 5 miles, on Tuesday 7 miles, on Wednesday 2 miles, on Thursday 5 miles, on Friday 7 miles, on Saturday 6 miles, and on Sunday 5 miles. What was the range of distances that Mia walked?
Right now the numbers are out of order, so it is difficult to tell which number is the largest or the smallest. So first put the numbers in order:
Now it is easier to see that the smallest number in the list is 2 and the largest number is 7
To find the range, subtract 2 from 7:
The range of the set is 5

#### Find the Range (Example 3)

Find the range of the data set
Right now the numbers are out of order, so it is difficult to tell which number is the largest or the smallest. So first put the numbers in order:
Now it is easier to see that the smallest number in the list is 2 and the largest number is 16
To find the range, subtract 2 from 16:
The range of the set is 14