How this calculator works
The minimum is no larger than any observation and the maximum is no smaller. The tool retains duplicate occurrences when counting extremes, and its table uses the original list positions rather than sorted positions. Negative values and decimals are compared numerically. A singleton or constant list has the same value as both extremes.
Formula
minimum = min(x1,...,xn); maximum = max(x1,...,xn). Extreme counts include every equal occurrence.
Worked example
For 2, -1, 2, -1, the minimum -1 occurs at positions 2 and 4, and the maximum 2 occurs at positions 1 and 3.
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Frequently asked questions
Can the minimum be positive?
Yes. Minimum means smallest within the supplied list, not a value below zero.
Why does a constant list have both extremes?
Every observation is simultaneously no larger and no smaller than the others.
Can I find a minimum in an empty list?
No. At least one finite observation is required to define either extreme.