Mercury is a persistent and dispersive environmental contaminantfound in many ecosystems around the world.When released as an industrial by-product, it often finds itsway into aquatic systems where it can have deleteriouseffects on various avian and aquatic species. The accompanyingdata on blood mercury concentration (mg/g) for adultfemales near contaminated rivers in Virginia was read froma graph in the article “Mercury Exposure Effects theReproductive Success of a Free-Living TerrestrialSongbird, the Carolina Wren” (The Auk, 2011: 759–769;this is a publication of the American Ornithologists’ Union)..20 .22 .25 .30 .34 .41 .55 .561.42 1.70 1.83 2.20 2.25 3.07 3.25a. Determine the values of the sample mean and samplemedian and explain why they are different.[Hint: ox1 5 18.55.]b. Determine the value of the 10% trimmed mean andcompare to the mean and median.c. By how much could the observation .20 be increasedwithout impacting the value of the sample median?
Mercury is a persistent and dispersive environmental contaminant
found in many ecosystems around the world.
When released as an industrial by-product, it often finds its
way into aquatic systems where it can have deleterious
effects on various avian and aquatic species. The accompanying
data on blood mercury concentration (mg/g) for adult
females near contaminated rivers in Virginia was read from
a graph in the article “Mercury Exposure Effects the
Reproductive Success of a Free-Living Terrestrial
Songbird, the Carolina Wren” (The Auk, 2011: 759–769;
this is a publication of the American Ornithologists’ Union).
.20 .22 .25 .30 .34 .41 .55 .56
1.42 1.70 1.83 2.20 2.25 3.07 3.25
a. Determine the values of the sample
median and explain why they are different.
[Hint: ox1 5 18.55.]
b. Determine the value of the 10% trimmed mean and
compare to the mean and median.
c. By how much could the observation .20 be increased
without impacting the value of the sample median?
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