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Chapter 2: Q. 2.47 (page 68)
We used slightly different methods for determining the "middle" of a class with limit grouping and cut point grouping. Identify the methods and the corresponding terminologies.
Limit grouping and cut point grouping are the different methods for determining the middle class
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Explain the difference between
a. frequency and relative frequency.
b. percentage and relative frequency.
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.
Use the specified grouping method to
Part (a): Determine a frequency distribution.
Part (b): Obtain a relative frequency distribution.
Part (c): Construct a frequency histogram based on your result from part (a).
Part (d): Construct a relative frequency histogram based on your result from part (b).
Patients who undergo chronic hemodialysis often experience severe anxiety. Videotapes of progressive relaxation exercises were shown to one group of patients and neutral videotapes to another group. Then both groups took the State-Trait Anxiety Inventory, a psychiatric questionnaire used to measure anxiety, on which higher scores correspond to higher anxiety. In the paper "The Effectiveness of Progressive Relaxation in Chronic Hemodialysis Patients", R. Alarcon et al. presented the results of the study. The following data give score results for the group that viewed relaxation-exercises videotapes. Use limit grouping with a first class of 12-17 and a class width of 6.
Detroit Tigers. From the Baseball Almanac website, we found the heights, in inches, of the players on the 2012 World Series runner-up Detroit Tigers baseball team.
Use the graph to answer the following questions. Note that cholesterol levels are always expressed as whole numbers.
a. Construct a stem-and-leaf diagram of these data with five lines per stem.
b. Why is it better to use five lines per stem here instead of one or two lines per stem?
State three of the most important guidelines in choosing the classes for grouping a quantitative data set.
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