Third Quartile Calculator: Q3, IQR, and Five-Number Summary

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Different textbooks and software use different conventions. Exclusive is the most common in introductory statistics.
Third Quartile (Q3)Wide spread
23

75th percentile: the value below which 75% of the data falls

First Quartile (Q1)10
Median (Q2)16.5
Interquartile Range (IQR)13
Minimum4
Maximum30
Range26
Count (n)10
Q1 (25th percentile)10
Q2 Median (50th percentile)16.5
Q3 (75th percentile)23

Q3 = 23.0000 - the upper quartile of your 10-point dataset.

  • The middle 50% of your data (the interquartile range) spans from 10.0000 to 23.0000, a width of 13.0000.
  • The median sits at 16.5000, and the full range is 4.0000 to 30.0000.
  • Q1 and Q3 are roughly equidistant from the median, suggesting a fairly symmetric distribution.

Next stepUsing the Exclusive (Tukey) method. Switch the method selector if your textbook or software gives a different result - the three methods can disagree by a small amount, especially for small datasets.

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