Minimum and Maximum Calculator

Find the minimum, maximum and range of a data set.

Minimum 3
Maximum 27
Range 24

Formula: smallest and largest values; range = max − min

Step-by-step with your numbers:
1. Values used:
2. Value 1 = 14
3. Value 2 = 3
4. Value 3 = 27
5. Value 4 = 9
6. Value 5 = 18
7. Value 6 = 0
8.
9. Minimum = 3
10. Maximum = 27
11. Range = 24
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Find the smallest and largest values and the spread between them.

How the Math Works

The Minimum and Maximum Calculator identifies the smallest and largest values in a data set through systematic comparison. Starting with the first number as both initial minimum and maximum, each subsequent value is compared against these benchmarks: if a new number is smaller than the current minimum, it becomes the new minimum; if larger than the current maximum, it becomes the new maximum. The range is then calculated by subtracting the minimum value from the maximum value (range = max - min), providing a measure of the data's spread or variability.

Practical Applications

To use this calculator, enter your data set as a comma-separated list of numbers. The tool processes each value sequentially, tracking the smallest and largest entries. For example, with data [12, 7, 25, 3, 19], the calculator identifies 3 as minimum, 25 as maximum, and calculates a range of 22. This is particularly useful for statistical analysis, quality control assessments, and comparing performance metrics across different groups or time periods.

Day-to-Day Use

This calculator helps you quickly understand the scope of numerical information in everyday situations. You can use it to check if your monthly expenses fall within reasonable limits, determine if test scores show adequate improvement, or verify if product measurements meet specifications. It's also valuable for sports statistics (finding best/worst performances), analyzing temperature variations, or simply organizing data to see the full picture at a glance without manually sorting through numbers.

Worked example

14, 3, 27, 9, 18 → min 3, max 27, range 24.

FAQ

Is range a good spread measure?

It's simple but sensitive to outliers; IQR or SD are more robust.