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