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Interquartile Range and Five-Number Summary Calculator

IQR = Q3 − Q1; identify fences and outliers.

Given Q1, median, Q3, min, and max, calculates IQR = Q3 − Q1, inner fences (Q1 − 1.5×IQR, Q3 + 1.5×IQR) for outlier detection, and box plot dimensions.

Marcus Laurent By Marcus Laurent
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

IQR = Q3 − Q1; inner fence = Q1−1.5·IQR to Q3+1.5·IQR

In depth

Given Q1, median, Q3, min, and max, calculates IQR = Q3 − Q1, inner fences (Q1 − 1.5×IQR, Q3 + 1.5×IQR) for outlier detection, and box plot dimensions.