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Chapter 3: Q 3.11 . (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
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The data set has mean and standard deviation . Approximately what percentage of the observations lie between and ?
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]
Apply Chebyshev's rule with and interpret your answer.
What condition on a data set is required to apply the Empirical rule?
Iron is essential to most life forms and to normal human physiology. It is an integral part of many proteins and enzymes that maintain good health. Recommendations for iron are provided in Dietary Reference Intakes, developed by the Institute of Medicine of the National Academy of Sciences, The recommended dietary allowance (RDA) of iron for adult females under the age of is milligrams (mg) per day. The iron intakes during a -hour period for a random sample of adult females under the age of have a mean of and standard deviation of .
a. Construct a graph .
b. Apply Chebyshev's rule with to make pertinent statements about the observations in the sample.
c. Repeat part (b) with .
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