Minimum and Maximum Calculator

Find the smallest value, largest value, range, count, and sorted order of any number set instantly.

Enter numbers separated by commas, spaces, or semicolons.

Number Set

About minimum, maximum, and range

The minimum and maximum are the two boundary values of a numerical data set. The minimum is the smallest observation, while the maximum is the largest. Together they show the full span covered by the observations and provide an immediate sense of scale. This calculator reads a comma-, space-, or semicolon-separated list, identifies both endpoints, counts the observations, sorts them, and subtracts the minimum from the maximum to calculate the range. Finding these values is one of the first steps in exploratory data analysis. A teacher may compare the lowest and highest test scores, a business analyst may inspect daily sales extremes, and a scientist may check the limits recorded by a sensor. Minimum and maximum values are also useful for validating data. A value beyond a physically possible or expected boundary can reveal a typing error, a failed instrument, or an unusual observation that deserves investigation. The range is calculated with the simple formula range = maximum - minimum. For the set 4, 8, 15, 22, and -5, the minimum is -5, the maximum is 22, and the range is 27. Negative values require no special treatment: the distance from -5 to 22 is still 27. Decimal values work the same way. Repeated observations remain in the sorted list and in the count, although duplicates do not alter the endpoints unless they are the only values present. Range is easy to understand, but it uses only two observations and can be strongly affected by an outlier. A set containing 10, 11, 12, and 100 has a range of 90 even though most values sit close together. For a fuller description, compare the range with the interquartile range, variance, or standard deviation. Those measures account for more of the distribution and help distinguish a broadly spread data set from one whose range is driven by a single extreme. When every observation is identical, the minimum and maximum are equal and the range is zero. A one-value data set also has a zero range. The count displayed here includes every entered number, including duplicates. Sorting the data makes it easier to verify the result visually and can reveal gaps, clusters, repeated values, and potential outliers before you continue with more advanced statistical analysis.

Minimum and maximum examples

These data sets show how endpoints and range behave with positive, negative, decimal, and repeated values.

Input	Result	Explanation
15, 8, -5, 22, 4	Min -5; max 22; range 27	The list crosses zero, so subtracting -5 from 22 gives 27.
2.5, 7.25, 3, 7	Min 2.5; max 7.25; range 4.75	Decimal observations are compared without rounding.
6, 6, 6, 6	Min 6; max 6; range 0	Identical observations have no spread between their endpoints.
-12, -3, -8	Min -12; max -3; range 9	Among negative numbers, the value nearest zero is the maximum.

How to use the calculator

Enter each observation in the Number Set field, separating values with commas, spaces, or semicolons.
Check negative signs and decimal points so every observation represents the intended value.
Select Calculate to find the minimum, maximum, range, count, and sorted data.
Review the sorted list to spot duplicates, gaps, or unexpected extreme values.
Select Reset to clear the current data and analyze another set.

Minimum and maximum FAQ

How do I find the minimum and maximum?

Order the observations from smallest to largest. The first value is the minimum and the last value is the maximum.

How is the range calculated?

Subtract the minimum from the maximum. Because subtraction measures the distance between the endpoints, the range is never negative.

Do duplicate values affect the result?

Duplicates increase the observation count and remain in the sorted output. They do not change the minimum or maximum unless the repeated value is itself an endpoint.

Can the calculator handle negative and decimal values?

Yes, negative numbers and decimals are supported. Enter them normally with a minus sign or decimal point and separate each observation clearly.

Is range a reliable measure of spread?

Range is useful for a quick summary, but it depends only on two extreme observations. Standard deviation or interquartile range is often more informative when outliers are present.