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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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Fill in the following blanks.
(a) A standardized variable always has mean _____ and standard deviation _______ .
(b) The z-score corresponding to an observed value of a variable tells you ______ .
(c) A positive z-score indicates that the observation is ______ the mean, whereas a negative z-score indicates that the observation is _______ the mean.
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.
The data set has observations and has mean and standard deviation . Approximately how many observations lie between and ?
A quantitative data set has mean and standard deviation . At least what percentage of the observations lie between and
True of False: The mean, median and mode can all be used with quantitative data. Explain your answer.
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