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Free box-plot summary calculator for descriptive statistics. Compute minimum, quartiles, median, maximum, IQR, and outlier fences from comma-separated data.
Last updated: April 20, 2026
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Min
12.000
Q1
14.500
Median
21.000
Q3
27.000
Max
45.000
Interquartile range (IQR)
12.500
Sample size
9
Lower fence
-4.250
Upper fence
45.750
Potential outliers
0
Interpretation
Five-number summary computed for 9 values. IQR is 12.500 with 0 potential outlier(s) by 1.5 x IQR fences.
Method note:
Quartiles are computed with median-of-halves (Tukey-style) where the global median is excluded from halves for odd sample sizes.
Outputs
Min, Q1, Median, Q3, Max
Formula
IQR = Q3 - Q1
Fences
Q1 -/+ 1.5 x IQR
Dataset: 12, 14, 15, 18, 21, 22, 24, 30, 45
Median
21.000
IQR
12.500
The calculator sorts values, computes quartiles from median-based halves, then derives interquartile range and standard outlier fences. This gives a compact and reliable view of data center, spread, and unusual values.
IQR = Q3 - Q1Lower fence = Q1 - 1.5 x IQRUpper fence = Q3 + 1.5 x IQRValues beyond fences are flagged as potential outliers for exploratory analysis.
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Suggested hashtags: #Statistics #BoxPlot #Quartiles #DataAnalysis #Calculator