Chapter 2: Q. 2.127 (page 80)
Distribution of a variable.
A variable's distribution is a description of the relative frequency with which each conceivable outcome will occur in a set of trials.
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Detroit Tigers. From the Baseball Almanac website, we found the heights, in inches, of the players on the 2012 World Series runner-up Detroit Tigers baseball team.
Use the graph to answer the following questions. Note that cholesterol levels are always expressed as whole numbers.
a. Construct a stem-and-leaf diagram of these data with five lines per stem.
b. Why is it better to use five lines per stem here instead of one or two lines per stem?
PCBs and Pelicans. Polychlorinated biphenyls (PCBs), industrial pollutants, are known to be carcinogens and a great danger to natural ecosystems. As a result of several studies, PCB production was banned in the United States in 1979 and by the Stockholm Convention on Persistent Organic Pollutants in 2001. One study, published in 1972 by R. W. Risebrough, is titled "Effects of Environmental Pollutants Upon Animals Other Than Man" (Proceedings of the 6ed Berkeley Symposium on Mathematics and Statistics, VI, University of California Press, pp. 443-463). In that study, 60 Anacapa pelican eggs were collected and measured for their shell thickness, in millimeters (mm), and concentration of PCBs, in parts per million (ppm). Following is a relative-frequency histogram of the PCB concentration data.
Explain the difference between a frequency histogram and a relative-frequency histogram.
Explain the meaning of
a) Qualitative Variable
b) Discrete, Quantitative Variable
c) Continuous, Quantitative Variable
Giant Tarantulas: The carapace lengths, to the nearest hundredth of a millimeter, of a sample of giant tarantulas.
In each case, decide which type of grouping (single-value, limit or cutpoint is probably the best.
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