Exposure to microbial products, especially endotoxin, may have an impact on vulnerability to allergic diseases. The article “Dust Sampling Methods for Endotoxin— An Essential, But Underestimated Issue” (Indoor Air, 2006: 20–27) considered various issues associated with determining endotoxin concentration. The following data on concentration (EU/mg) in settled dust for one sample of urban homes and another of farm homes was kindly supplied by the authors of the cited article. U: 6.0  5.0  11.0  33.0  4.0  5.0  80.0  18.0  35.0  17.0  23.0 F: 4.0  14.0  11.0  9.0  9.0  8.0  4.0  20.0  5.0  8.9  21.0  9.2  3.0  2.0  0.3 a. Determine the sample mean for each sample. How do they compare? b. Determine the sample median for each sample. How do they compare? Why is the median for the urban

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
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Exposure to microbial products, especially endotoxin,
may have an impact on vulnerability to allergic diseases. The article “Dust Sampling Methods for Endotoxin—
An Essential, But Underestimated Issue” (Indoor Air,
2006: 20–27) considered various issues associated with
determining endotoxin concentration. The following data
on concentration (EU/mg) in settled dust for one sample
of urban homes and another of farm homes was kindly
supplied by the authors of the cited article.


U: 6.0  5.0  11.0  33.0  4.0  5.0  80.0  18.0  35.0  17.0  23.0
F: 4.0  14.0  11.0  9.0  9.0  8.0  4.0  20.0  5.0  8.9  21.0  9.2  3.0  2.0  0.3


a. Determine the sample mean for each sample. How
do they compare?

b. Determine the sample median for each sample. How
do they compare? Why is the median for the urban
sample so different from the mean for that sample?

c. Calculate the trimmed mean for each sample by
deleting the smallest and largest observation. What
are the corresponding trimming percentages? How
do the values of these trimmed means compare to the
corresponding means and medians?

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