Chapter 2.2, Problem 2.38E

(a)

To determine

To Explain: that if the standard deviation of a list is zero, then all the numbers on the list are the same explain it correct or not.

Answer to Problem 2.38E

Correct

Explanation of Solution

The standard deviation would be zero when the average deviation of the data values from the mean is zero. It will be only possible when the deviation of every data value from the mean is zero for that required all the data values should be equal to the mean which understood that all the data values take on the same value and the all numbers in the list are the same, so the given statement is correct.

(b)

To determine

To Explain: that if the means and standard deviation of two different lists of numbers are the same, then all the number in the two lists are the same, explain it correct or not.

Answer to Problem 2.38E

Not correct

Explanation of Solution

There is no relation between the two different list of number of means and standard deviation at all. So it is not required that the mean and standard deviation of two different lists of numbers are the same, then all numbers in the two lists same.