Quickly find the midrange of a set of numbers with our simple online calculator. A basic statistical tool for finding the midpoint between the highest and lowest values. 

The Quickest, Simplest Way to Find the "Center" of Your Data.

When we want to find the "center" or "average" of a set of numbers, we usually think of the mean (the sum divided by the count) or the median (the middle value). But there's a third, much simpler measure called the midrange.

The midrange is exactly what it sounds like: it's the value that is exactly in the middle of the smallest and largest numbers in your dataset. It's the quickest and most basic way to get a rough idea of the central point of your data.

How is the Midrange Calculated?

The formula is incredibly simple: (Highest Value + Lowest Value) / 2

For example, in the dataset 2, 5, 8, 12, 20, the lowest value is 2 and the highest is 20. (20 + 2) / 2 = 11. The midrange is 11.

This is useful for:

• Quick Estimates: Getting a very fast, rough estimate of the center of your data.

• Statistical Learning: A great tool for students learning the different measures of central tendency.

• Symmetrical Data: In a perfectly symmetrical dataset, the midrange, mean, and median will all be the same.

How to Find the Midrange Instantly

Let the tool do the finding and the math for you.

1. Open the Midrange Calculator: Go to the FreeXTool Midrange Calculator.

2. Enter Your Numbers: Type or paste your set of numbers into the input box, separated by commas or spaces.

3. Click "Calculate": The tool will automatically identify the highest and lowest values and calculate the midrange for you.

Pro-Tip: Beware of Outliers!

The biggest weakness of the midrange is that it is extremely sensitive to outliers (unusually high or low numbers). In our salary example from the median post ($50k, $52k, $55k, $58k, $1 million), the midrange would be ($1 million + $50k) / 2 = $525,000, which is a very misleading number. For skewed data, the median is almost always a better measure of the true center.

Get a clearer picture of your data with these statistical tools:

• Average Calculator (Mean)

• Median Calculator

• Mode Calculator