# Midrange Calculator

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

The midrange calculator is the simplest and the most elegant way to find the midrange of a data set.

Our tool will quickly find the maximum and the minimum values of the input numbers and calculate the so-called mid-extreme.

You may want to find out more about midrange in statistics, the differences between range and midrange, and tips on how to find the midrange of a data set. You'll find all this information in the article below ⤵️

🔎 To get more insights about data analysis, check our descriptive statistics calculator.

## What is midrange in math? Midrange statistics and midrange math

So, what is midrange? We define midrange, both in math and statistics, as the arithmetic mean of the maximum and minimum values of a data set.

Midrange, being the midpoint of a range, is one of the measures of central tendency. Keep reading to find out how to find the midrange of a data set using the midrange formula.

## How to use the midrange calculator? How to calculate midrange?

It just couldn't be easier! Enter the values of your desire into the calculator's blank fields - the calculator will slowly unfold once you enter a value into the previous field.

🙋 Our calculator allows you to enter whole equations into the blank fields. Try to enter e.g. 5*3 or 6+4567. We will calculate everything automatically.

You can enter up to 30 numbers. Your result will consist of maximum, minimum, and midrange value, and a step-by-step solution.

In order to receive an accurate result, you need to enter at least two variables. If you want to find out how to calculate midrange manually, check the section with the midrange formula below.

## How do you find the midrange?

Do you already have everything calculated? Now that you know how to calculate midrange with our tool, it's time to find out how we did it!
Our calculator uses the following midrange formula:

midrange = (maximum value[I] + minimum value[I]) / 2,

where I is a dataset. Let's follow this simple example:

What is the midrange of the following dataset?

I = {5, 45, 789, 0.5, 0.0000005, 0, 25, 1, 12456}

1. Let's find the minimum value of the dataset.

0

2. Let's find the maximum value of the dataset.

12456

3. Use the midrange formula:

midrange = (12456 + 0)/2 = 12456/2

midrange = 6228

As you can see, computing the midrange of a larger set of data may be troublesome – that's when the use of this midrange calculator becomes essential.

## Other tools for calculating range in statistics

We've already learned about midrange and how to find the midrange of a data set - but what are all the other tools used in descriptive statistics and statistical dispersion (spread)?

We use the spread to compare different sets of data. Thanks to statistical dispersion, we're able to tell how much a given group of values is stretched or squeezed.

1. We can use the interquartile range calculator (or the midspread), which describes the difference between the 25% and the 75% of the dataset.

2. The most common way to describe dispersion is to use the mean-median-mode calculator:

• Arithmetical mean is the most popular method of them all; and
• We often use weighted mean in grading.
1. Statisticians prefer more complex methods, such as computing the standard deviation and distributions of a given set of data. With these values, we're able to assess the sensitivity and specificity of our results.

2. We also shouldn't forget about calculations as simple as the date range! 📅

Łucja Zaborowska, MD, PhD candidate
Related calculators
You can input up to 30 numbers.
x₁
x₂
Midrange: 0
Maximum value: 1
Minimum value: 1
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