How this instrument works
The minimum and maximum are the two simplest statistics there are — the smallest and largest values actually present in your data. Unlike the mean, median or quartiles, there's no averaging or interpolating involved: the minimum is one of your real data points, exactly as entered, and so is the maximum. That makes them useful as a first sanity check on any data set — an unexpected minimum or maximum is often the fastest way to spot a typo, a sensor glitch, or a unit mismatch before it contaminates every other statistic you compute.
Together, min and max also set the boundaries everything else lives inside. Every other value in your data set, and every summary statistic derived from it — mean, median, quartiles — falls between these two numbers by definition. Subtracting them gives the range, the crudest measure of spread there is: fast to compute, but sensitive to a single outlier in a way the interquartile range isn't, since one unusually extreme value can stretch the range dramatically without moving the middle of the data at all.
In a box plot, the minimum and maximum (or the 1.5xIQR fence values, in the Tukey variant) become the whiskers — the lines extending out from the box that show the full extent of the data beyond the quartiles. Reporting min and max alongside a central tendency measure like the mean or median gives a reader both 'where is this centred' and 'how far does it actually reach' in two numbers each.
- Paste or type your numbers into the Data set field — commas, spaces or new lines all work.
- Read Minimum — the smallest value present anywhere in your entered data.
- Read Maximum — the largest value present anywhere in your entered data.
- Want the single number that describes the gap between them, rather than the two endpoints? A dedicated range calculator subtracts Minimum from Maximum for you.
Worked example — the eight quiz scores
Take {2, 4, 4, 4, 5, 5, 7, 9}. Scan the list for the smallest entry: 2, which appears only once. Scan again for the largest: 9, also appearing only once. No sorting formula or interpolation is needed for either — both are simply read off directly.
So this instrument reports Minimum = 2.0000 and Maximum = 9.0000. Every other score in the set — 4, 4, 4, 5, 5, 7 — sits somewhere between those two boundaries, and the range, if you needed it, would be the difference: 9 - 2 = 7.
Questions
What's the difference between minimum/maximum and the range?
Minimum and maximum are two separate values — the smallest and largest numbers in your data. The range is a single number, the difference between them (max minus min), describing the total spread in one figure rather than reporting both endpoints. This page returns the two endpoints; a dedicated range calculator returns their difference.
Can the minimum and maximum be the same value?
Yes, if every entry in your data set is identical — for example, {5, 5, 5} — the minimum and maximum are both 5. That's not an error; it correctly reflects that the data has zero spread.
Why did my minimum come out higher than I expected?
Check for a sign error or a misread decimal in your entered data — since the minimum and maximum are read directly from your list with no calculation, an unexpectedly high minimum (or low maximum) almost always traces back to what was actually typed in, not to how the instrument processed it.
Are minimum and maximum affected by outliers the way the mean is?
They're not just affected by outliers — they define them from one side. The maximum is, by construction, whatever the single most extreme high value in your data happens to be, and the minimum the most extreme low value, so an outlier doesn't distort these two statistics; it simply becomes one of them.
How does this feed into a box plot?
In the simplest box plot convention, the minimum and maximum become the ends of the whiskers extending from the box — showing the full range the data actually covers, beyond the box itself, which is bounded by Q1 and Q3. Some box-plot conventions instead cap the whiskers at 1.5 times the interquartile range and plot points beyond that as separate outlier markers, so check which convention a chart is using before comparing whisker lengths.