What can be said about a set of data with a standard deviation of 0? (This is a reading assessment question. Be certain of you
r answer because you only get one attempt on this question.) Choose the correct answer below. A. All the observations are the same value. B. All the observations are 0. C. For every positive value, there is a corresponding negative value (as in 4 and −4; 6 and −6).
One of the statistical measures used to determine the spread or variability of a dataset is the variance or standard deviation. The standard deviation determines how a set of value varies about the mean value.
Mathematically,
Variability or spread = mean + number of standard deviations
Hence, a standard deviation of 0 ; means they there is no variability in the dataset. Hence, a standard deviation of 0 means all observations are of the same value.
