49' class is shown in Figure 1. RUN mpetitors in the '40 to CYCLE SKI Run, cycle and ski times for the '40 to 49' class D 10 20 30 40 50 60 Time (minutes) Figure 1 Run, cycle and ski times of competitors aged 40 to 49 in a winter triathlon follaring (i) Using the boxplot, is the shape of the boxplot for the cycling event left-skew, right-skew or neither. Give your reasons. (ii) The right-hand whisker of the boxplot for the run times ends at a time of 27.38 minutes. How is this value calculated? (Note that no numerical calculations are required for this part) (iii) Using the boxplots, compare the ranges, inter-quartile ranges and medians of the distributions for the running, cycling and skiing events. (iv) For the skiing event the median time for the '40 to 49' class competitors is 25.57 minutes. Is the mean time for these competitors in the skiing event likely to be higher or lower than or equal to this median? Why is this?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter69: Simple Practical Machine Applications
Section: Chapter Questions
Problem 18A: Find inside caliper dimension x. All dimensions are in inches.
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Only (iii) and (Iv) requested
49' class is shown in Figure 1.
RUN
mpetitors in the '40 to
CYCLE
SKI
Run, cycle and ski times for the '40 to 49' class
PES
10
20
30
40
50
60
Time (minutes)
Figure 1 Run, cycle and ski times of competitors aged 40 to 49 in a winter
triathlon
ing this senpi
(i)
Using the boxplot, is the shape of the boxplot for the cycling event
left-skew, right-skew or neither. Give your reasons.
(ii)
The right-hand whisker of the boxplot for the run times ends at a
time of 27.38 minutes. How is this value calculated? (Note that no
numerical calculations are required for this part)
(iii) Using the boxplots, compare the ranges, inter-quartile ranges and
medians of the distributions for the running, cycling and skiing
events.
(iv) For the skiing event the median time for the '40 to 49' class
competitors is 25.57 minutes. Is the mean time for these
competitors in the skiing event likely to be higher or lower than or
equal to this median? Why is this?
Transcribed Image Text:49' class is shown in Figure 1. RUN mpetitors in the '40 to CYCLE SKI Run, cycle and ski times for the '40 to 49' class PES 10 20 30 40 50 60 Time (minutes) Figure 1 Run, cycle and ski times of competitors aged 40 to 49 in a winter triathlon ing this senpi (i) Using the boxplot, is the shape of the boxplot for the cycling event left-skew, right-skew or neither. Give your reasons. (ii) The right-hand whisker of the boxplot for the run times ends at a time of 27.38 minutes. How is this value calculated? (Note that no numerical calculations are required for this part) (iii) Using the boxplots, compare the ranges, inter-quartile ranges and medians of the distributions for the running, cycling and skiing events. (iv) For the skiing event the median time for the '40 to 49' class competitors is 25.57 minutes. Is the mean time for these competitors in the skiing event likely to be higher or lower than or equal to this median? Why is this?
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