Live math canvas
Range Calculator: 15. max 24 − min 9 = 15
Formula applied
CalculationTime keeps the method visible so the number can be checked instead of blindly trusted.
Range = maximum value − minimum value. For the default set: maximum 24 − minimum 9 = 15.Your live breakdown
These values come from the controls above and update when the calculator changes.
Resulting answer
max 24 − min 9 = 15
Assumptions used
Range shows spread only. Compare with average, median and standard deviation when the shape of the data matters.
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.
Printable record
Save the inputs, result, formula, assumptions, page URL and date together so the calculation can be reviewed later.
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.
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.
Standard or basis: descriptive statistics using the ordinary range formula, maximum minus minimum. Every visible input is included with equal status.
Methodology & Accuracy
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.
Range = maximum value − minimum value. For the default set: maximum 24 − minimum 9 = 15.
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: 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.
Find the largest value in the data set, find the smallest value, then subtract the smallest from the largest.
The minimum is 9 and the maximum is 24, so the range is 24 minus 9, which equals 15.
Yes. If zero is entered, this calculator treats it as a real value and includes it when finding the minimum and maximum.
No. The average describes a central value. The range describes the spread from the smallest value to the largest value.
Yes. Because range uses only the minimum and maximum, one unusually high or low value can change the result strongly.
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.
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.
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.
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.