Math & statistics
Five Number Summary Calculator
Paste your data (commas, spaces or new lines all work) and get the five number summary, IQR, mean, standard deviation and a box plot — using the TI-84 quartile method.
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minimum
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Q1
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median
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Q3
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maximum
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IQR (Q3 − Q1)
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mean
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sample SD (s)
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range
Frequently asked questions
What is the five number summary?
The minimum, first quartile (Q1), median, third quartile (Q3) and maximum of a data set. Together they describe center and spread, and they are exactly the five values a box plot draws.
How do I find Q1 and Q3 by hand?
Sort the data and find the median. Q1 is the median of the lower half and Q3 the median of the upper half — excluding the overall median itself when the count is odd. That is the TI-84 (Moore) method this calculator uses.
Why does my answer differ from another calculator?
There are several quartile conventions. Excel’s QUARTILE.INC interpolates positions, while TI-84 and most US statistics courses use the median-of-halves method. Both are legitimate; use the one your course teaches.
What is the IQR and what is it for?
The interquartile range = Q3 − Q1, the spread of the middle 50% of the data. It resists outliers, and the 1.5×IQR rule uses it to flag them — see the outlier calculator.
Quartile method: medians of the lower/upper halves excluding the overall median when n is odd (Moore method — matches TI-84 and most US statistics courses). Excel’s QUARTILE.INC may differ.