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.

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...