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Chapter 3: Q 3.12 . (page 101)
We have provided simple data set for you to practices the basics of finding measures of center. For each data set determine the:
a) Mean
b)Median
c) Mode.
The given data set is:
a) Mean
b) Median
C) Mode does not exist, because no value occurs more than once.
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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 70 modern Italian male skulls and that of 84 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., 1959]
Net worth: The board of Governors of the Federal Reserve system publishes information on family net worth in the survey of consumers fiances. Inthe mean net worth of the families in the united state wasrole="math" localid="1650792936700" thousand and the median net worth wasrole="math" localid="1650792957167" thousand. Which measure of center do you think is more appropriate? Justify your answer.
True of False: The mean, median and mode can all be used with quantitative data. Explain your answer.
Fill in the blanks: Roughly, when arranged in increasing order, the middle of a data set are found between _______ and _______ .
Consider the data set: .
a) Obtain the mean and median of the data.
b) Replace the in the data set by and again compare the mean and median. Decide which measure of the center works better here and explain your answer.
c) For the data set in part b) the mean is neither central nor typical for the data. The lack of what property of the mean accounts for this result.
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