Range Calculator

Find the range for a set of data by entering the numbers in the data set below. Read below to learn more about how to find the range.

Separate numbers using a comma (,)

Results:

Range:
 
Min:
 
Max:
 

Steps to Solve

Step One: Find the Min and Max Values

Min = ?

Max = ?

Step Two: Find the Range

Range = Max - Min



How to Find Range

In statistics, the range is the difference between the smallest and largest numbers in a data set. The range is used to measure the spread or dispersion between numbers in a set of data.

The range is closely related to the midrange, which is a measure of center, or central tendency, of the data.

A very large range indicates that the data might be spread out or that there are outliers, while a small range means the data are close together.

Range Formula

Since the range is the difference between the smallest and largest numbers in the data, the range formula is:

R = H – L

Where:
R = range
H = highest number
L = lowest number

Thus, the range R is equal to the highest number in the data H minus the lowest number L.

The first step to finding the range is to identify the smallest and largest numbers in the data. These are often referred to as the min and max.

Then, you can subtract the smallest from the largest to find the range.

For example: let’s find the range for the numbers [2,12,43,72]

lowest number = 2
highest number = 72
range = 72 – 2 = 70

In this example, the range is 70, which is a large spread between the highest and lowest numbers.


Next, let’s find the range for the numbers [19,20,22,23]

lowest number = 19
highest number = 23
range = 23 – 19 = 4

The range in this example is 4, which is a considerably smaller spread than the previous example.

You might also be interested in our mean, median, mode calculator to find additional measurements about your data.