Range Calculator
Paste your numbers and get the range: the highest value minus the lowest, with the minimum, maximum and midrange alongside.
- Runs in your browser
- Shows the working
- Sorted list
- Free
Find the range
Separate with spaces, commas or new lines. A comma is a separator, so "1,000" reads as 1 and 1000.
Show the working
How to find the range
Find the lowest
Sort the list, or just scan it. In 12, 4, 9, 21, 7 the smallest value is 4.
Find the highest
The largest value in the same list is 21.
Subtract
21 − 4 = 17. The range is 17. It is a single number, not a pair, and it is never negative.
The midrange is a different thing: the halfway point between the two ends, (21 + 4) ÷ 2 = 12.5.
Questions people ask
What is the range in math?
The distance between the biggest and smallest values in a set: highest minus lowest. For 12, 4, 9, 21, 7 the range is 21 − 4 = 17.
Is the range one number or two?
One number. People sometimes say "the range is 4 to 21", which describes the same spread, but the range itself is the single value 17.
Can the range be negative?
No. The largest value is never smaller than the smallest, so the range is always zero or more. It is zero when every value is identical.
What is the midrange?
The midpoint of the two extremes: (highest + lowest) ÷ 2. It is a rough measure of centre that ignores everything between the ends.
Why is the range a weak measure of spread?
It only looks at two values, so one unusual reading changes it completely. For a measure that ignores extremes, use the interquartile range; for one that uses every value, use the standard deviation.
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