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Applied Statistical Methods by Irving W. Burr and J. William Schmidt (Auth.)

By Irving W. Burr and J. William Schmidt (Auth.)

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Sample text

3. " Of these the last is by far the most important. 36 3. Summarization of Data by Objective Measures The range we have already met in Chapter 2. It is defined for a sample of numbers by range = R = maximum y — minimum y. 6) Thus for the amounts metered we have R = 9 7 . 8 - 9 6 . 4 (in cc). This measure of variability gives us the extreme amount of variation among the n sample numbers. Hence it is easily interpreted. But it can be greatly affected by just one number far above or below the rest of the numbers.

For the most part probabilities concerned with countable spaces (finite and infinite) are more easily studied and understood than those for uncountably infinite spaces. Somewhat different mathematical approaches are used, the latter involving infinitesimal calculus. One rather troublesome problem is to define probability and the laws so as to be accurate for both types of sample spaces. Of interest in this book is that we have two distinct types of theoretical distributions in statistics for the two cases, as given in the next two chapters.

Chapter 4. 1. I N T R O D U C T I O N Nearly everyone has at least some intuitive idea of the probability of an event or outcome. Opportunities to use probability concepts in everyday life occur often. This is especially true when we are faced with a decision between two or more courses of action. Whether to continue driving an aging auto or trade it in depends in part on the likelihood of the auto needing a major repair job, or causing an accident through failure. The individual's decision on what vocation to choose, which job offer to take, or whether and whom to marry, can involve probability reasoning.