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For a list of positive numbers, is it possible for the

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

Solution for problem 6E 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 6E

For a list of positive numbers, is it possible for the standard deviation to be greater than the mean? If so, give an example. If not, explain why not.

Step-by-Step Solution:
Step 1 of 3

Solution 6E

Step1 of 3:

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

We need to check whether the standard deviation to be greater than mean for the list of positive numbers. If yes, we have to give Example.

Step2 of 3:

“Yes”, for the given list of positive numbers standard deviation is greater than the mean.

Example:

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

X = 1, 2, 12.

1).Mean of the X is given by:

     

     Where,

     = Mean

      x = random variable

     N = sample size

         = 3.

     Now,

     

                 =

       =

     = 5

     Therefore, = 5.

Step3 of...

Step 2 of 3

Chapter 1.2, Problem 6E is Solved
Step 3 of 3

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

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