Turn a list of numbers into a five-number summary — minimum, quartiles, median and maximum — with outliers flagged.
Median
How to use this tool
Paste your numbers separated by commas or spaces.
Check the sorted list shown in the note.
Read minimum, Q1, median, Q3 and maximum.
Inspect any values flagged beyond the 1.5 × IQR fences.
Formula & worked example
For 1 to 11, the five-number summary is minimum 1, Q1 3.5, median 6, Q3 8.5, maximum 11, with IQR 5 and no outliers.
Limitations — read this before you rely on it
Quartile conventions differ between textbooks and software, so small-sample quartiles may differ slightly from another tool; flagged outliers are a screening rule, not proof of error.
Frequently asked questions
Minimum, first quartile (Q1), median, third quartile (Q3) and maximum. A box plot draws a box from Q1 to Q3 with a line at the median and whiskers to the extremes.
Linear interpolation on sorted data (type 7, as in Excel PERCENTILE.INC). Other methods, such as Tukey hinges, can give slightly different quartiles for small samples.
Any value below Q1 − 1.5 × IQR or above Q3 + 1.5 × IQR. Flagged points are not automatically wrong — they may be genuine extremes worth investigating.
It shows skew and outliers at a glance and works for non-normal data, where mean and standard deviation can mislead.
At least 4. Quartiles from very small samples are unstable, so treat them as rough guides.