# TU Wien:Statistik und Wahrscheinlichkeitstheorie UE (Bura)/Übungen 2019W/5.2: Unterschied zwischen den Versionen

Zur Navigation springen Zur Suche springen

(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

## Lösungsvorschlag von Draggy

setwd(dir ="/YourMama/TU-WIEN/ws-2019/statistik-und-wahrschienlichkeitstheorie/")


Boxplot erstellen:

boxplot(runningtimes,ylab = "Runtime")


(b)

(a) The first quartile of the times in A was about?
$20$
(b) the interquartile range of the times in B is about trice the interquartile range of A
ich würde sagen eher doppelt so groß statt drei mal so groß
(c) Is n = 100?
Der Boxplot gibt keine Auskunft über die Größe der Datenmenge.
(d) More than half of the running times in B were faster than 3/4 of the running times in A
Stimmt, der Median von B liegt tiefer als das 1. Quantil von A.
(e) At least 50% in A were faster than the 25% slowest in B
Stimmt, da das 3. Quantil von B höher liegt als der Median von A.
(f) At least 60% in A were faster than the 25% slowest in B.
Kann durch den Boxplot nicht gezeigt werden.