# Range Calculator

Created by Łucja Zaborowska, MD, PhD candidate
Reviewed by Bogna Szyk and Jack Bowater
Last updated: Jun 05, 2023

Our range calculator is a simple tool which allows you to compute the range of a data set. We made it extremely simple – add any values of your choice (up to 30) and just watch as our tool does all the work for you in a blink of an eye.

Not familiar with the definition of range? Would you like to know how to determine the range for any variables and discover the range calculations formula? Search no more - you will find all the answers in our short article below. ⤵️

## How to calculate range?

So, how to find the range of a data set? The formula below is all it takes!

Range = Maximum value[I] - Minimum value[I]

Where:

• I is the data set.

That's the very same equation as the one used in our find the range calculator. Let's go through an example below:

I = {45, 789, 0.5, 0.0000005, 0, 25,1}

1. What is the maximum value of a variable in the dataset I? Maximum value = 789

2. What is the minimum value of a variable in the dataset I? Minimum value = 0

3. Let's add these values to the presented formula:

Range = 789-0

Range = 789

## Why do we need the range?

We all remember the homework we used to get (or we're still getting every other day!), containing the simple phrase "calculate the range of the data below".

1. The range is used throughout statistics. We may talk about the regular range, described as a difference between the largest and smallest value of a given data set.

2. You've probably heard of interquartile range, also called the midspread. This is useful when describing a particular data set's dispersion. The interquartile range is precisely the difference between 25% and 75% of the statistical distribution.

3. If you are looking for more 'exclusive' ranges, we stumbled upon the studentized range. Studentized range calculation might be useful if your set of data consists of standard deviations.

4. Ranges are also used to work out the grouped data standard deviation without having to deal with each point separately.

Did you know that we can also calculate the range of a function?

What's next?
You may try out the projectile range calculator! 📚

## How to use the range calculator?

It couldn't be simpler - fill in the blank spaces with data you have in front of you.
The calculator will slowly reveal itself with every single variable entered into the tool. You can input a maximum of 30 numbers.

Remember, the true range requires at least 2 variables. If you enter only one variable, the minimum and maximum variable will be of the same value, and the range will always be equal to zero.

If you want to know how to find the range in statistics with a detailed set of instructions, check the section above.

## Other tools for calculating range in statistics

Range is the simplest kind of a statistical dispersion (spread).
We use it to determine how much a given set of data is squeezed/stretched.

E.g., statistical spread can be used to compare the results of an exam achieved by two different classes.

Along with the range, we should assess the following measures of the dispersion:

• Standard deviation;
• Median absolute deviation;
• Interquartile range; and
• Distance standard deviation.

Unitless measures:

And what about other robust statistical measurements? Mean/ median/ mode calculator - give it a go!

Łucja Zaborowska, MD, PhD candidate
Input your data (up to 30 points)
Numbers:
Range: 0
Maximum value: 1
Minimum value: 1
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