Chapter 2: Q.2.42 (page 67)
Identify an important reason for grouping data.
Short Answer
In the event of big data sets, data grouping is important.
Chapter 2: Q.2.42 (page 67)
Identify an important reason for grouping data.
In the event of big data sets, data grouping is important.
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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.
The Fulbright Program. The U.S. government's flagship international educational exchange program, the Fulbright program, is sponsored by the Bureau of Educational and Cultural Affairs. Fulbrights are awarded based on "academic and leadership potential. providing the opportunity to exchange ideas and contribute to finding solutions to shared international concerns." For 2012-2013, the top 10 doctoral/research institutions receiving Fulbright awards are as shown in the following table. The success rate gives the number of grants per application, expressed as a percentage. Identify the type of data provided by the information in each column of the table.

Sickle Cell Disease. A study published by E. Anionwu et al. in the British Medical Journal (Vol, 282, pp .283-286) measured the steady-state hemoglobin levels of patients with three different types of sickle cell disease. Following is a stem-and-leaf diagram of the data.

The Great White Shark. In an article titled "Great White, Deep Trouble" (National Geographic, Vol. 197(4). pp. 2-29). Peter Benchley - the author of JAWS - discussed various aspects of the Great White Shark (Carcharodon Carcharias). Data on the number of pups borne in a lifetime by each of 80 Great White Shark females are given on the WeissStats 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.
Age of Passenger Cars. According to R. L. Polk & Co., the average age of passenger cars in the United States was years in . A sample of passenger cars taken this year provided the ages, in years, displayed in the following table. Construct a dotplot for the ages.
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