Chapter 2: Q.15 (page 88)
Draw a smooth curve that represents a symmetric trimodal (three-peak) distribution.
Short Answer
From the given information,
Chapter 2: Q.15 (page 88)
Draw a smooth curve that represents a symmetric trimodal (three-peak) distribution.
From the given information,
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Stays in Europe and the Mediterranean. The Bureau of Economic Analysis gathers information on the length of stay in Europe and the Mediterranean by U.S. travelers. Data are published in the Survey of Current Bussiness. The following stem-and-leaf diagram portrays the length of stay, in days, of a sample of 36 U.S. residents who traveled to Europe and the Mediterranean last year.
Forearm Length. In 1903, K. Pearson and A. Lee published the paper "On the Laws of Inheritance in Man. I. Inheritance of Physical Characters" (Biometrika, Vol. 2, pp. 357-462). The article examined and presented data on forearm length, in inches, for a sample of 140 men, which we present on the Weiss Stats site.
a. use the technology of your choice to identify the modality and symmetry (or non-symmetry) of the distribution of the data set.
b. if unimodal, classify the distribution as symmetric right-skewed. or left-skewed.
Adjusted Gross Incomes. The Internal Revenue Service (IRS) publishes data on adjusted gross incomes in Statistics of Income, and Individual Income Tax Returns. The following relative frequency histogram shows one year's individual income tax returns for adjusted gross incomes of less than .
Use the histogram and the fact that adjusted gross incomes are expressed to the nearest whole dollar to answer each of the following questions.
a. Approximately what percentage of the individual income tax returns had an adjusted gross income betweenand , inclusive?
b. Approximately what percentage had an adjusted gross income of less than ?
c. The IRS reported that individual income tax returns had an adjusted gross income of less than . Approximately how many had an adjusted gross income between and , inclusive?
Body Temperature. A study by researchers at the University of Maryland addressed the question of whether the mean body temperature of humans is 98.6~F. The results of the study by P. Mackowiak et al. appeared in the article " A Critical Appraisal of 98.6F, the Upper Limit of the Normal Body Temperature, and Other Legacies of Carl Reinhold August Wunderlich" (Journal of the American Medical Association, Vol. 268, pp. 1578-1580). Among other data, the researchers obtained the body temperatures of 93 healthy humans, as provided on the Weists state site.
a. use the technology of your choice to identify the modality and symmetry (or non-symmetry) of the distribution of the data set.
b. if unimodal, classify the distribution as symmetric right-skewed. or left-skewed.
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