A sample of 26 offshore oil workers took part in a simulated escape exercise, re

Question

A sample of 26 offshore oil workers took part in a simulated escape exercise, resulting in the accompanying data on time (sec) to complete the escape. Here is a stem-and-leaf display of escape time data stem leaf 32 55 33 49 34 35 6699 36 34469 37 03345 38 1 39 2347 40 23 41 42 8 (a) Determine the value of the fourth spread (b) Are there any outliers in the sample? Any extreme outliers? O There are no extreme outliers but several outliers There is one extreme outlier and one outlier. There are several extreme outliers. There are no outliers or extreme outliers. There is one extreme outlier and several outliers. (c) Construct a boxplot. Escape time (sec) Escape timc (sec) Escape imc (see) O Escape time sec) 320 340 360 380 4 200 320 340 36 38D 40 420 320 340 360 380 400 20 320 340 360 3 4UCJ 420

Explanation / Answer

a)n=number of values =26

here first quartile =(n+1)/2 th value =6.75 th value =359

third quartile =3(n+!)/4 th value =20.25 th value =392+0.25*(393-392)=392.25

therefore 4th spread =Q3-Q1 =392.25-359 =33.25 ( please try 33 if this comes wrong)(

b)

there are no outliers or extreme outliers

c)

2nd option is correct for box plot.

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