# Difference between revisions of "TU Wien:Statistik und Wahrscheinlichkeitstheorie UE (Bura)/Übungen 2019W/5.2"

(2) Boxplot

Two novel randomized algorithms (A and B) are to be compared regarding their running time. Both algorithms were executed n times. The running times (in seconds) are stored in the file algorithms.Rdata

(a) Set the working directory and load the data using `load()`. Create a boxplot to compare the running times. Color the boxes and add proper notations (axes notations, title etc.). More info via `?boxplot`
(b) Comment on the following statements / questions only using the graphic
(a) The first quartile of the times in A was about?
(b) the interquartile range of the times in B is about trice the interquartile range of A
(c) Is n = 100?
(d) More than half of the running times in B were faster than 3/4 of the running times in A
(e) At least 50% in A were faster than the 25% slowest in B
(f) At least 60% in A were faster than the 25% slowest in B

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