SOLUTION: Which of the following statements is NOT true? A. If all of the data values in a data set are identical, then the standard deviation is 0. B. The standard deviation is the squ

Algebra ->  Probability-and-statistics -> SOLUTION: Which of the following statements is NOT true? A. If all of the data values in a data set are identical, then the standard deviation is 0. B. The standard deviation is the squ      Log On


   



Question 872616: Which of the following statements is NOT true?
A. If all of the data values in a data set are identical, then the standard deviation is 0.
B. The standard deviation is the square root of the variance.
C. The variance is a measure of the dispersion or spread of a distribution about its mean.
.
Thank you very much!

Answer by indra89811(24) About Me  (Show Source):
You can put this solution on YOUR website!
D. The variance can be a negative number
Variance can never be a negative number. Because it is the sum of squares of numbers divided by 1 less than the number of numbers. Squares are never negative, so you could never have the sum of squares being negative, and then when you divided by 1 less than the number of numbers you could never get a negative number.