Formula
Range = maximum value − minimum value. For the default set: maximum 24 − minimum 9 = 15.
Math
Range Calculator
Find the range of up to six numbers, with the minimum, maximum and difference shown for classroom, score and measurement checks.
Calculator
Working calculator
Live resultReadyCalculator queued
Formula used
Range = maximum value − minimum value. For the default set: maximum 24 − minimum 9 = 15.
This is the method behind the answer, so the result can be checked rather than simply trusted.What-if check
Endpoint sensitivity
Range is controlled by the smallest and largest values. Removing one endpoint shows how much the spread depends on a single extreme entry.
| Scenario | Range | Endpoint note |
|---|---|---|
| All six values | 15 | 9 to 24 |
| Lowest removed | 12 | Checks low outlier pull |
| Highest removed | 12 | Checks high outlier pull |
Visual proof
Number-line spread
The gold endpoint markers create the range: maximum minus minimum. The printed report keeps both endpoint values visible so the spread can be audited later.
Visual grid
This number is one point on a larger pattern
Range is not just a final answer. It is a step on a line: before and after, input and output, assumption and result.
Micro-timehours, minutes, shiftsHuman scaledays, weeks, projectsMacro-timemonths, years, calendars
InputFormulaResult
ReadyCalculationTime keeps the path visible: the input, the method and the final number belong together.
CalculationTime
Range Calculation Report
ReadyCalculator queued
Inputs
- Value 1
- 12
- Value 2
- 18
- Value 3
- 9
- Value 4
- 24
- Value 5
- 15
- Value 6
- 21
Method
Range = maximum value − minimum value. For the default set: maximum 24 − minimum 9 = 15.
- For 12, 18, 9, 24, 15 and 21, the smallest value is 9 and the largest value is 24. Range = 24 − 9 = 15.
Assumptions
- All six visible input boxes are included in the range calculation.
- A zero input is treated as a real data value, not as a blank or missing value.
- The range measures only the full spread from smallest to largest; it does not describe the middle or typical value.
- This is transparent descriptive statistics, not a probability model or formal uncertainty analysis.
Notes
Use this space on the printed report for client, supplier, classroom, job-location, measurement, quote or approval notes.
Worked example
For 12, 18, 9, 24, 15 and 21, the smallest value is 9 and the largest value is 24. Range = 24 − 9 = 15.
Professional note
Master’s Tip: always read the range beside the actual minimum and maximum. A single extreme value can make the spread look large even when most values are tightly grouped.
Regional and unit assumptions
Standard or basis: descriptive statistics using the ordinary range formula, maximum minus minimum. Every visible input is included with equal status.
Assumptions and limitations
- All six visible input boxes are included in the range calculation.
- A zero input is treated as a real data value, not as a blank or missing value.
- The range measures only the full spread from smallest to largest; it does not describe the middle or typical value.
- This is transparent descriptive statistics, not a probability model or formal uncertainty analysis.
Methodology & Accuracy
How this calculator is checked
CalculationTime pages are built around visible arithmetic: the formula, assumptions, worked example and practical limitations are shown so the result can be checked rather than simply trusted.
Formula used
Range = maximum value − minimum value. For the default set: maximum 24 − minimum 9 = 15.
Standard or basis
Standard or basis: descriptive statistics using the ordinary range formula, maximum minus minimum. Every visible input is included with equal status.
Where a calculator follows a named legal, trade or industry standard, that standard is cited visibly. Otherwise the page uses transparent general arithmetic and states its limits.Master's Tip
Master’s Tip: always read the range beside the actual minimum and maximum. A single extreme value can make the spread look large even when most values are tightly grouped.
Related calculators
Questions
How do you calculate range?
Find the largest value in the data set, find the smallest value, then subtract the smallest from the largest.
What is the range of 12, 18, 9, 24, 15 and 21?
The minimum is 9 and the maximum is 24, so the range is 24 minus 9, which equals 15.
Does zero count when finding range?
Yes. If zero is entered, this calculator treats it as a real value and includes it when finding the minimum and maximum.
Is range the same as average?
No. The average describes a central value. The range describes the spread from the smallest value to the largest value.
Can one outlier affect the range?
Yes. Because range uses only the minimum and maximum, one unusually high or low value can change the result strongly.
Calculation note
The range is one of the first spread measures students meet because it is easy to audit: identify the endpoints, then subtract. Its strength is clarity; its weakness is that it depends entirely on the two most extreme values.
Range is an endpoint check
Unlike the mean or standard deviation, the range ignores every middle value. That makes it fast and easy to explain, especially in classroom worksheets, test-score checks, temperature logs and measurement records.
Why the minimum and maximum should stay visible
A report that says only “range 15” hides the endpoints that created it. Showing minimum 9 and maximum 24 keeps the arithmetic traceable and helps readers decide whether the spread came from a normal set or an outlier.
When range is not enough
Two data sets can have the same range but very different distributions. Use the range as a quick spread check, then compare it with mean, median or standard deviation when the middle pattern matters.
Sources and further readingNIST/SEMATECH e-Handbook of Statistical Methods: Measures of scale