Chapter 2: Q. 6 (page 88)
In a bar chart, unlike in a histogram, the bars do not abut. Give a possible reason for that.
The bars in a bar chart may not abut, distinguishing between a bar chart and a histogram can be challenging.
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Some users of statistics prefer pie charts to bar charts because people are accustomed to having the horizontal axis of a graph show order. For example, someone "Republican" is less than "Other" because "Republican" is shown to the left of "Other" on the horizontal axis. Pie charts do not lead to such inferences. Give other advantages and disadvantages of each method.
Identify an important reason for grouping data.
Women in the Workforce. In an issue of Science (Vol. 308, No. 5721 , p. 483), D. Normile reported on a study from the Japan Statistics Bureau of theindustrialized countries in the Organization for Economic Co-operation and Development (OECD) titled "Japan Mulls Workforce Goals for Women." Following are the percentages of women in scientific workforces for a sample of countries. Construct a stem-and-leaf diagram for these percentages.
This exercise deals with truncated graphs.
a. What is a truncated graph?
b. Give a legitimate motive for truncating the axis of a graph.
c. If you have a legitimate motive for truncating the axis of a graph, how can you correctly obtain that objective without creating the possibility of misinterpretation?
For instance, consider the grouped days-to-maturity data given in Table (b) on page .
From that table, we see that the cumulative frequency of investments with a maturity period of less than day is and, therefore, the cumulative relative frequency is.
Table shows all cumulative information for the days-to-maturity data.
Cumulative information for days-to-maturity data.
a. Round each observation to the nearest year and then construct a stem-and-leaf diagram of the rounded data.
b. Truncate each observation by dropping the decimal part, and then construct a stem-and-leaf diagram of the truncated data.
c. Compare the stem-and-leaf diagrams that you obtained in parts (a) and (b).
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