Chapter 3: Q 3.1 . (page 100)
Explain in detail the purpose of a measure of center.
A measure of center is used to determine where a data set's center or most usual value is located. The mean is the most widely used metric of center.
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A quantitative data set has size . At least how many observations lie within two standard deviation of the either side
A quantitative data set has mean and standard deviation . At least what percentage of the observations lie between and
Simple data sets have been given for you to try locating the descriptive metrics mentioned in this section. For each data set separately.
(a) Calculate the quartiles,
(b) calculate the interquartile range
(c)compile a five-number summary.
Cuckoo Care. Many species of cuckoos are brood parasites. The females lay their eggs in the nests of smaller bird species, who then raise the young cuckoos at the expense of their own young. Data on the lengths, in millimeters (), of cuckoo eggs found in the nests of three bird species - the Tree Pipit. Hedge Sparrow, and Pied Wagtail - were collected by the late O.M. Latter in and used by L.H.C. Tippett in his text The Methods of States (New York Wiley, . p. ). Use the following boxplots to compare the lengths of cuckoo eggs found in nests of the three bird species, paying special attention to center and variation.
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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