Boxplot

Boxplot algorithm marks the lower quartile (\(Q1\)), the median (\(Q2\)), the upper quartile (\(Q3\)) of the given data set. The lower and upper inner fences are defined by \(L = Q1 - 1.5(Q3-Q1)\) and \(U = Q3 + 1.5(Q3-Q1)\). Any data value beyond the fences are treated as a value outside the region of interest.

Input Parameters

Parameter Type Constraint Description Remarks
\(Y\) \(Y \in \mathbb R^N\) \(N \in \mathbb{N}\) Input data sequence of length \(N\) None

Output Parameters

Parameter Type Constraint Description Remarks
\(\hat{Y}\) \(\hat{Y} \in \mathbb R^N\) None Values in the \(Y\) list which are outside the region of interest are marked None

Single Steps using the Algorithm

References

    1. McGill, J.W. Tukey, and W.A. Larsen, Variations of Boxplots, The American Statistician., vol. 32(1), pp. 12-16, 1978.