📐 Midrange Calculator
By ToolNimba Editorial Team · Updated 2026-06-19
The midrange is the value that sits exactly halfway between the smallest and largest numbers in a data set. This calculator finds it for you: paste or type your numbers, and it returns the midrange along with the minimum, maximum, range and mean so you can compare them side by side. It is a quick way to summarise a set by its two extremes.
What is the Midrange Calculator?
The midrange is one of the simplest measures of central tendency. You take the smallest value (the minimum) and the largest value (the maximum), add them together, and divide by two. The result is the exact midpoint of the data range. Because it ignores every value in between, the midrange is fast to work out by hand and gives a rough sense of where the centre of the spread lies.
Its great strength, simplicity, is also its weakness. The midrange depends only on the two most extreme numbers, so a single unusually high or low value (an outlier) can pull it a long way from where most of the data actually sits. For that reason the midrange is less robust than the median or even the mean, and statisticians rarely use it as the main summary of a data set. It is most useful as a quick estimate, or where the extremes themselves are the point of interest.
The midrange is closely tied to the range. The range is max minus min, the total spread of the data, while the midrange is the average of max and min, the centre of that spread. Together they describe an interval: the midrange is the middle and the range is the width. If you know the midrange and the range, you can recover both the minimum (midrange minus half the range) and the maximum (midrange plus half the range).
When to use it
- Getting a fast estimate of the centre of a data set when you only care about the highest and lowest values.
- Reporting the midpoint of a temperature, price or score range, for example the midrange of a daily high and low.
- Teaching or learning the difference between midrange, median, mean and range in a statistics class.
- Sanity-checking a forecast or quote that is given as a range, by reading off its midpoint.
How to use the Midrange Calculator
- Type or paste your numbers into the box, separated by commas, spaces or new lines.
- The calculator finds the minimum and maximum automatically.
- Read the midrange, which is the average of those two extremes.
- Compare it with the min, max, range and mean shown alongside it.
Formula & method
Worked examples
Find the midrange of the data set 4, 8, 15, 16, 23, 42.
- Identify the minimum: the smallest value is 4
- Identify the maximum: the largest value is 42
- Add the extremes: 42 + 4 = 46
- Divide by 2: 46 / 2 = 23
Result: Midrange = 23 (min 4, max 42, range 38, mean = 18)
Find the midrange of the daily temperatures -2, 5, 9, 14, 21.
- Minimum = -2, maximum = 21
- Add the extremes: 21 + (-2) = 19
- Divide by 2: 19 / 2 = 9.5
Result: Midrange = 9.5 (min -2, max 21, range 23, mean = 9.4)
How the midrange compares with other measures of centre
| Measure | How it is found | Uses outliers |
|---|---|---|
| Midrange | (max + min) / 2 | Yes, only the two extremes |
| Mean | sum / count | Yes, every value counts |
| Median | middle value when sorted | No, resists outliers |
| Mode | most frequent value | No |
| Range | max - min | Yes, only the two extremes |
Worked midrange values for sample data sets
| Data set | Min | Max | Midrange |
|---|---|---|---|
| 10, 20, 30 | 10 | 30 | 20 |
| 3, 7, 8, 12 | 3 | 12 | 7.5 |
| 5, 5, 5, 5 | 5 | 5 | 5 |
| -4, 0, 4 | -4 | 4 | 0 |
| 100, 250, 400 | 100 | 400 | 250 |
Common mistakes to avoid
- Confusing the midrange with the median. The median is the middle value of the sorted data, while the midrange is the average of only the smallest and largest values. They are often different. For 1, 2, 3, 100 the median is 2.5 but the midrange is 50.5.
- Adding all the numbers and dividing by two. The midrange uses only the maximum and minimum, not the whole sum. Adding every value and dividing by two gives a meaningless figure. Take just the two extremes.
- Trusting the midrange when there are outliers. Because the midrange is built from the extremes, one stray very high or very low value drags it far from the bulk of the data. When outliers are present, the median is a more reliable measure of centre.
- Forgetting that negative values count. The minimum can be negative. With values like -10 and 4, the midrange is (4 + (-10)) / 2 = -3. Skipping the negative sign gives the wrong answer.
Glossary
- Midrange
- The value halfway between the smallest and largest numbers, found as (maximum + minimum) / 2.
- Minimum
- The smallest value in the data set.
- Maximum
- The largest value in the data set.
- Range
- The spread of the data, calculated as maximum minus minimum.
- Mean
- The arithmetic average, the sum of all values divided by how many there are.
- Outlier
- A value far from the rest of the data that can distort summaries like the midrange and mean.
Frequently asked questions
What is the midrange in statistics?
The midrange is a measure of central tendency equal to the average of the highest and lowest values in a data set. You add the maximum and minimum and divide by two. It marks the midpoint of the data range and ignores all the values in between.
How do you calculate the midrange?
Find the largest value (maximum) and the smallest value (minimum) in your data, add them together, then divide the total by two. The formula is midrange = (maximum + minimum) / 2. This calculator does it automatically once you enter your numbers.
What is the difference between midrange and median?
The midrange averages only the two extreme values, while the median is the middle value once the data is sorted. They can be very different: in a set with outliers the median stays near the bulk of the data, but the midrange is pulled toward the extreme.
Is the midrange affected by outliers?
Yes, strongly. Because the midrange uses only the minimum and maximum, a single unusually large or small value changes it directly. This sensitivity is why the median or mean is usually preferred when a data set may contain outliers.
What is the difference between range and midrange?
The range is the width of the data, maximum minus minimum, while the midrange is the centre of the data, the average of maximum and minimum. The range tells you how spread out the values are; the midrange tells you where the middle of that spread sits.
Can the midrange be a decimal or negative?
Yes. If the maximum and minimum do not add to an even number, the midrange is a decimal, such as 7.5. If the values include negatives or the extremes are both negative, the midrange can be negative too. The calculator handles all of these.