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Blood pressure values are often reported to the nearest 5

Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye ISBN: 9780321629111 32

Solution for problem 38E Chapter 1

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 38E

Blood pressure values are often reported to the nearest 5 mmHg (100, 105, 110, etc.). Suppose the actual blood pressure values for nine randomly selected individuals are a. What is the median of the reported blood pressure values? b. Suppose the blood pressure of the second individual is 127.6 rather than 127.4 (a small change in a single value). How does this affect the median of the reported values? What does this say about the sensitivity of the median to rounding or grouping in the data?

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Problem 38E Answer: Step1: We have Blood pressure values are often reported to the nearest 5 mmHg (100, 105, 110, etc.). Suppose the actual blood pressure values for nine randomly selected individuals are x 118.6 127.4 138.4 130 113.7 122 108.3 131.5 133.2 We need to find, a. What is the median of the reported blood pressure values b. Suppose the blood pressure of the second individual is 127.6 rather than 127.4 (a small change in a single value). How does this affect the median of the reported values What does this say about the sensitivity of the median to rounding or grouping in the data Step2: a). Let us understand what is Median. Consider, Median:Median is the mid-value in a given data and it is given by 113.7 b). 127.6 is reported as 127.4, so the median is now 127.4, a very substantial change. When there is rounding or grouping, the median can be highly sensitive to small change.

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Chapter 1, Problem 38E is Solved
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Textbook: Probability and Statistics for Engineers and the Scientists
Edition: 9
Author: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye
ISBN: 9780321629111

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Blood pressure values are often reported to the nearest 5