Upper and Lower Fence Calculator (With Explanation)

In statistics, the upper and lower fences represent the cut-off values for upper and lower outliers in a dataset. They are calculated as:

  • Upper fence = Q3 + (1.5*IQR)
  • Lower fence = Q1 – (1.5*IQR)

where IQR stands for “interquartile range” and represents the difference between the 75th percentile and 25th percentile in a dataset.

This calculator finds the upper and lower fences for a given dataset.

Simply enter a list of comma-separated values for the dataset in the box below, then click the “Calculate” button:


Q1 (First Quartile) = 14.00

Q3 (Third Quartile) = 36.00

IQR (Interquartile Range) = 22.00

Lower Fence = 14.00 – (1.5*22.00) = -19.00

Lower Fence = 36.00 + (1.5*22.00) = 69.00

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