IQR Calculator: Interquartile Range, Quartiles and Outlier Finder

Your details

Enter numbers separated by commas, spaces, or semicolons. At least 4 values are needed for meaningful quartiles.
Inclusive (standard) splits the sorted list into two halves to find Q1 and Q3. Exclusive interpolates at the 25th and 75th rank positions, matching the TI-83/84 and Excel QUARTILE.EXC function.
IQRNo outliers detected
7

Interquartile range: Q3 minus Q1

Q1 (25th percentile)3
Q2 / Median (50th percentile)6.5
Q3 (75th percentile)10
Minimum1
Maximum15
Lower fence (Q1 - 1.5 x IQR)-7.5
Upper fence (Q3 + 1.5 x IQR)20.5
Mild outliers0
Extreme outliers0
n (count)10
Q13
Q2 / Median6.5
Q310
IQR7

IQR = 7.0000

  • The middle 50% of your 10 values fall between 3.0000 (Q1) and 10.0000 (Q3), a spread of 7.0000.
  • No values fall outside the 1.5 x IQR fences, so no outliers are flagged by the Tukey rule.

Next stepPair the IQR with a box-and-whisker plot to visualize the spread and flag outliers at a glance.

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