HesapHanem

Range Calculator

Paste your numbers to calculate the range of the data set.

How it is calculated

Paste your numbers separated by commas, spaces, semicolons or line breaks. The tool finds the smallest and largest values and subtracts:

range = maximum − minimum

It also reports the minimum, the maximum and how many numbers it read, all to four decimals except the count. Entries that are not numbers are skipped without warning instead of causing an error, so check the count to confirm every value was used. If nothing numeric is found, no result is shown. The range uses only the two extreme values, so it says nothing about how the rest of the data is spread.

Worked example

Data: 12, 7, 19, 3.5, 25, 14. The tool reads 6 numbers. The smallest is 3.5 and the largest is 25. Range = 25 − 3.5 = 21.5000. The values span 21.5 units from lowest to highest. Dropping the single value 25 would shrink the range to 15.5, showing how much one extreme value controls this measure.

Try this example →

Common mistakes

  • Using a decimal comma such as 3,5. The comma is a separator here, so it is read as the two numbers 3 and 5 and the count goes up by one.
  • Not noticing that text entries are silently ignored. A typo like "1O" (letter O) is dropped, so the count is lower than expected; compare the count with the number of values you pasted.
  • Taking the range as typical spread. One outlier, such as a data entry error, can double it.
  • Confusing range with the interquartile range or standard deviation, which describe the bulk of the data.
  • Mixing units within the list (some values in cm, some in mm), which makes the range meaningless.

About this calculator

The range is the simplest measure of spread in a data set: subtract the minimum value from the maximum value, and the result tells you the full width the data spans. It's easy to compute and easy to interpret, but unlike the standard deviation or interquartile range, it depends entirely on the two most extreme values, making it highly sensitive to outliers and not very informative about how the bulk of the data is actually distributed between those extremes.

This calculator takes your list of numbers and returns the range along with the minimum, maximum, and count of values. Students learning introductory statistics, quality control staff doing a quick spread check on a batch of measurements, and analysts scanning a data set for early signs of outliers use it as a fast first look at variability before reaching for more detailed statistical measures.

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Comments (1)

  • Editorial team

    Range grows with sample size: the more values you collect, the more likely you are to catch a new extreme. So only compare ranges between lists with a similar count, and check the count line before you do. When the range looks surprisingly large, look at the minimum and maximum first, because a single mistyped value is the usual suspect. What kind of measurements do you run through it?

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