Range Calculator
Find the statistical range of five numbers instantly - the difference between the largest and smallest values. A quick measure of data spread useful in quality control, test scores, and data analysis.
How to use this tool
- Enter number 1, number 2, number 3, number 4 and number 5 in the fields above.
- Results update instantly as you type โ or click Calculate.
- Read your range and the full breakdown beneath it.
Formula
Range = max(n1, n2, n3, n4, n5) - min(n1, n2, n3, n4, n5)
How it works
Identify the largest and smallest values among the five inputs, then subtract the minimum from the maximum.
Worked example
Test scores
- Scores: 3, 7, 2, 9, 5
- Max = 9, Min = 2
- Range = 9 - 2 = 7
Common mistakes to avoid
- Confusing statistical range (max - min) with the range of a function in mathematics โ this calculator computes the data spread, not a function's output set.
- Using range as the primary measure of spread without considering outliers โ a single extreme value inflates the range dramatically without reflecting typical data variability.
- Sorting the data manually and making an arithmetic error when the data set contains negative numbers or decimals โ let the calculator identify max and min automatically.
Key terms
Frequently asked questions
- What is the range useful for in practice?
- Range is used in quality control (is this batch within spec?), grading (what is the spread of test scores?), and weather reporting (daily temperature range). It is quick to compute but sensitive to outliers.
- How does range differ from standard deviation?
- Range only uses the two most extreme values, ignoring everything in between. Standard deviation uses every data point and gives a more stable measure of spread. For small, clean data sets range is sufficient; for larger sets, standard deviation or IQR is preferred.
- Can the range be zero?
- Yes, if all values are identical the range is 0, indicating no spread in the data.