13.10 Exercises
Selected answers are available in Sect. D.13.
Exercise 13.1 The histogram of the direct HDL cholesterol
from the NHANES study is shown
in Fig. 13.1.
Should the mean or median be used to measure location?
Exercise 13.2 The average monthly SOI values in August from 1995 to 2000 are shown in Table 13.10. Use your calculator (where possible) to calculate the:
- sample mean
- sample median.
- range.
- sample standard deviation.
| Year | Monthly average SOI |
|---|---|
| 1995 | 0.8 |
| 1996 | 4.6 |
| 1997 | -19.8 |
| 1998 | 9.8 |
| 1999 | 2.1 |
| 2000 | 5.3 |
Exercise 13.3 The activity below contains histogram and boxplots.
Match the histogram with the corresponding boxplot.
For which data sets would the mean and standard deviation be the appropriate numerical summary?
For which data sets would the median and IQR be the appropriate numerical summary?
Exercise 13.4
A study of the productivity of construction workers
(Gatti et al. 2013)
recorded,
among other things,
the rate at which concrete panels could be installed by workers.
Data for three different female workers in the study
are shown in
Table 13.11.
Construct the boxplot comparing the three workers.
What does it tell you?
| Worker 1 | Worker 2 | Worker 3 | |
|---|---|---|---|
| Mean | 1.24 | 1.73 | 1.36 |
| Minimum | 0.59 | 1.13 | 0.86 |
| 1st quartile | 0.88 | 1.51 | 1.16 |
| Median | 1.35 | 1.70 | 1.38 |
| 3rd quartile | 1.49 | 1.91 | 1.58 |
| Maximum | 1.88 | 3.00 | 2.17 |
| Range | 1.28 | 1.87 | 1.31 |
References
Gatti UC, Migliaccio GC, Bogus SM, Schneider S. An exploratory study of the relationship between construction workforce physical strain and task level productivity. Construction Management and Economics. 2013;1–7.