Quartile & Five-Number Summary Calculator
Get the quartiles, interquartile range (IQR), five-number summary and outliers of a data set.
Five-number summary
6, 15, 40, 43, 49
- Q1 (first quartile)
- 15
- Median (Q2)
- 40
- Q3 (third quartile)
- 43
- Interquartile range (IQR)
- 28
- Outlier fences
- -27 and 85
- Outliers
- None
Quartile methods differ on small data sets; pick the one your class or software uses.
Show the work
Sort the data
n = 11
6, 7, 15, 36, 39, 40, 41, 42, 43, 47, 49
Q1 and Q3: medians of the two halves
median(6, 7, 15, 36, 39); median(41, 42, 43, 47, 49) = 15, 43
Five-number summary
smallest, Q1, median, Q3, largest
6, 15, 40, 43, 49
How it works
IQR = Q3 − Q1; outlier fences = Q1 − 1.5 × IQR and Q3 + 1.5 × IQR (Tukey)
Questions
- How does the quartile & five-number summary calculator work?
- IQR = Q3 − Q1; outlier fences = Q1 − 1.5 × IQR and Q3 + 1.5 × IQR (Tukey).
- What do I need to enter?
- Data, Quartile method. Optional fields can be left blank.
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