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Chapter 2: Q. 2.47 (page 68)
We used slightly different methods for determining the "middle" of a class with limit grouping and cut point grouping. Identify the methods and the corresponding terminologies.
Limit grouping and cut point grouping are the different methods for determining the middle class
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The Court's Burrow. The subterranean color (Spalacopus cyan) is a social rodent that lives in large colonies in underground burrows that can reach lengths of up to 600 meters. Zoologists S. Begall and M. Gallardo studied the characteristics of the burrow systems of the subterranean color in central Chile and published their findings in the Journal of Zoology, Landen (Vol. 251, pp. 53-60). A sample of 51 burrows, whose depths were measured in centimeters, yielded the following frequency histogram.
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.
Construct a stem-and-leaf diagram for the data, using two lines per stem.
M&Ms. In the article "Sweetening Statistics-What M&M's Can Teach Us" (Minitab Inc., August 2008), M. Paret and E. Martz discussed several statistical analyses that they performed on bags of M&Ms. The authors took a random sample of small bags of peanut M&Ms and obtained the following weights, in grams (g). Construct a stem-and-leaf diagram for these weights.
A quantitative data set has been grouped by using limit grouping with equal-width classes. The lower and upper limits of the first class are and , respectively, and the class width is .
a. What is the class mark of the second class?
b. What are the lower and upper limits of the third class?
c. Which class would contain an observation of ?
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