×
Get Full Access to Elementary Statistics - 12 Edition - Chapter 3.2 - Problem 38bb
Get Full Access to Elementary Statistics - 12 Edition - Chapter 3.2 - Problem 38bb

×

ISBN: 9780321836960 18

## Solution for problem 38BB Chapter 3.2

Elementary Statistics | 12th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Elementary Statistics | 12th Edition

4 5 1 272 Reviews
12
4
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:

Quadratic mean $$=\sum \times 2 n$$

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

Equation Transcription:

Text Transcription:

=\sum \times 2 n

Step-by-Step Solution:
Step 1 of 3

Solution 38BB

1. The quadratic mean or root mean square or R.M.S of the given observations is 114.8026.
2. The mean voltage measured from household current is 0

The quadratic mean or root mean square or R.M.S of the given observations is 114.8026, where as its mean is zero.

Step 2 of 3

Step 3 of 3

#### Related chapters

Unlock Textbook Solution