Provide valid explanation and calculation. Don't submit only explanation.

2. The Smallest, Non-Zero value of the Standard deviation: a. What is the smallest, non-zero value of the standard deviation that you can find for a distribution involving at least two distinct numbers (that is, boxes in at least two different columns should be shaded)? b. Describe at least two distributions that yield the minimum, non-zero standard deviation. c. Can you get the same standard deviation value from a distribution that involves at least three distinct numbers? If so, describe at least two others. If not, explain. 3. The Largest Value of the Standard Deviation a. What is the largest value of the standard deviation that you can find for a distribution involving at least two distinct numbers? b. Describe at least two distributions that yield the maximum standard deviation. 4. A Standard Deviation of Zero a. How is it possible to have four data values (i.e., filling in just 4 boxes) in a distribution, but have a standard deviation of zero?b. In your own words, describe what we know about a distribution if it has a standard deviation of zero