Box Plot Calculator

Your details

Enter numbers separated by commas, spaces, or new lines. At least 4 values required.
Inclusive (Tukey hinges) includes the median in both halves when n is odd. Exclusive excludes it. Both are widely used; the results are usually close.
Median (Q2)Moderate spread
18

Middle value of the sorted dataset

Lower quartile (Q1)11
Upper quartile (Q3)29
Interquartile range (IQR)18
Minimum4
Maximum45
Lower fence-16
Upper fence56
Lower whisker4
Upper whisker45
OutliersNone
n (sample size)9
Range41
Min4
Q111
Median18
Q329
Max45

Median is 18.0000, IQR is 18.0000.

  • The middle 50% of values (IQR) spans 18.0000, from 11.0000 to 29.0000.
  • The median of 18.0000 is offset toward the right (upper tail is longer).
  • No outliers detected by the 1.5 x IQR rule. All values lie within the whisker fences.
  • The full range of the dataset is 41.0000, with 9 values from 4 to 45.

Next stepA box plot is a compact 5-number summary. For a full picture of shape and modality, also check a histogram or density plot of the same data.

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