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Quadratic Mean The quadratic mean (or root mean square, or

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Problem 38BB Chapter 3.2

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 38BB

Quadratic Mean The quadratic mean (or root mean square, or R.M.S.) is usually used in physical applications. In power distribution systems, for example, voltages and currents are usually referred to in terms of their R.M.S. values. The quadratic mean of a set of values is obtained by squaring each value, adding those squares, dividing the sum by the number of values n, and then taking the square root of that result, as indicated below:

Find the R.M.S. of these voltages measured from household current: 0, 100, 162, 162, 100, 0, –100, –162, –162, –100, 0. How does the result compare to the mean?

Step-by-Step Solution:
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Solution 38BB

The quadratic mean or root mean square or R.M.S of the given observations is 114.8026.The mean voltage measured from household...
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Chapter 3.2, Problem 38BB is Solved
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Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

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Quadratic Mean The quadratic mean (or root mean square, or

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