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Chapter 2: Q. 2.53 (page 68)
Suppose that you have constructed a stem-and-leaf diagram and discover that it is only moderately useful because there are too few stems. How can you remedy the problem?
According to the presented statistics, the solution to the problem of too few stems is to employ two or more lines per stem.
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Weights of 18- to 24-Year-Old Males. Refer to the weight data in Table on page 54 . Note that there are 37 observations, the smallest and largest of which are and, respectively. Apply the preceding procedure to choose classes for cut point grouping. Use approximately eight classes. Note: If in Step 2 you decide on 20 for the class width and in Step 3 you choose 120 for the lower cut point of the first class, then you will get the same classes as used in Example 2.14; otherwise, you will get different classes (which is fine).
This problem is about data.
a. What are data?
b. How is data type determined?
As mentioned, for relative-frequency polygons, we label the horizontal axis with class marks in limit grouping and class midpoints in cut point grouping. How do you think the horizontal axis is labeled in single-value grouping.
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.
Days to Maturity for Short-Term Investments. Refer to the days-to-maturity data in Table 2.6 on page 53 . Note that there are observations, the smallest and largest of which are and , respectively. Apply the preceding procedure to choose classes for limit grouping. Use approximately seven classes. Note: If in Step you decide on for the class width and in Step you choose for the lower limit of the first class, then you will get the same classes as used in Example 2.13; otherwise, you will get different classes (which is fine).
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