Chapter 3: Q 3.6. (page 100)
Complete the following statement: The descriptive measure is resistant if .......
The descriptive measure is resistant if it is not sensitive to the influence of a few extreme observation.
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Explain in detail the purpose of a measure of center.
The data set has mean and standard deviation . Fill in the following blanks:
a. Approximately of the observations lie between_ and _
b. Approximately of the observations lie between _and _
c. Approximately of the observations lie between _ and _
We have provided simple data sets for you to practice finding the descriptive measures discussed in this section. For each data set.
Obtain the quartiles, determine the inter quartile range, find the five-number summary.
The Etruscans. Anthropologists are still trying to unravel the mystery of the origins of the Etruscan empire, a highly advanced Italic civilization formed around the eighth century B.C. in central Italy. Were they native to the Italian peninsula or, as many aspects of their civilization suggest, did they migrate from the East by land or sea? The maximum head breadth, in millimeters, of modern Italian male skulls and that of preserved Etruscan male skulls were analyzed to help researchers decide whether the Etruscans were native to Italy. The resulting data can be found on the WeissStats site. [SOURCE: N. Barnicot and D. Brothwell, "The Evaluation of Metrical Data in the Comparison of Ancient and Modern Bones." In Medical Biology and Etruscan Origins, G. Wolstenholme and C. O'Connor, cds., Littlc, Brown \& Co., ]
The Great White Shark. In an article titled "Great White. Deep Trouble" (National Geographic, Vol. , pp. ). Peter Benchley-the author of JAWS-discussed various aspects of the Great White Shark Carcharodon carcharias). Data on the number of pups borne in a lifetime by each of Great White Shark females are provided on the WeissStats site.
a. obtain and interpret the quartiles.
b. determine and interpret the interquartile range.
c. find and interpret the five-number summary
d. identify potential outliers, if any.
e. obtain and interpret boxplot.
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