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Is it possible for the standard deviation of a list of

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 7E Chapter 1.2

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 7E

Problem 7E

Is it possible for the standard deviation of a list of numbers to equal 0? If so, give an example. If not, explain why not.

Step-by-Step Solution:
Step 1 of 3

Solution 7E

Step1 of 3:

In a given problem they told that to take list of same numbers.

We need to check whether the standard deviation to be Zero for the list of same numbers. If yes, we have to give Example.


Step2 of 3:

“Yes”, for the given list of positive numbers standard deviation Zero.

Example:

Let us consider X be random variable and it has 3 samples(that is 3 positive numbers).

X = 2, 2, 2.

1).Mean of the X is given by:

     

     Where,

     = Mean

      x = random variable

     N = sample size

         = 3.

     Now,

     

                 =

       =

     = 2

     Therefore, = 2.


Step3 of 3:

2).Standard deviation of X is given by:

     

                        =  

             =

=

                                                 =

                                                 =

                                                 = 0

Hence, = 0.

Conclusion:

Therefore, For the given list of positive numbers standard deviation is Zero.


Step 2 of 3

Chapter 1.2, Problem 7E is Solved
Step 3 of 3

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

Since the solution to 7E from 1.2 chapter was answered, more than 308 students have viewed the full step-by-step answer. This full solution covers the following key subjects: deviation, equal, Example, explain, give. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The answer to “Is it possible for the standard deviation of a list of numbers to equal 0? If so, give an example. If not, explain why not.” is broken down into a number of easy to follow steps, and 25 words. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. The full step-by-step solution to problem: 7E from chapter: 1.2 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4.

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