Lower and Upper Fence Calculator

Use this simple online lower and upper fence calculator to calculate the upper and lower limit of your data set. Also, this upper and lower fence calculator helps you in doing the quartile calculations such as first & second quartiles and interquartile range calculations with ease.

Use this simple online lower and upper fence calculator to calculate the upper and lower limit of your data set. Also, this upper and lower fence calculator helps you in doing the quartile calculations such as first & second quartiles and interquartile range calculations with ease.

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Formula:

Lower Fence = First Quartile - 1.5 x Interquartile Range Upper Fence = Third Quartile + 1.5 x Interquartile Range

The upper fence and the lower fence are the deciding factors of outliers. The Lower fence is the 'lower limit' and the Upper fence is the 'upper limit' of data, and any data which does not fit in the upper and lower limits (fence) is considered as the outliers. The definitions for the lower and upper fences only represent the maximum value where the whiskers could go, if the data set actually contained those values. Otherwise, the whiskers don’t extend to the fences unless there are actual data points at those places. Make use of this simple online lower and upper fence calculator to do upper and lower fence calculations with ease.

Example:

Calculate the upper and lower fence for the statistical data of {-4, 7.5, 8.7, 3.4, 9.4, 0.8, 1.5, 2.6, 0.9, 0.6}

Solution:

Lower Fence = 0.8 - 1.5 x 6.7
=-9.25
Upper Fence = 7.5 + 1.5 x 6.7
=17.55

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