Question

What can be said about a set of data with a standard deviation of​ 0? ​(This is a reading assessment question. Be certain of your 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).

Answer 1

Answer:

A.) All the observations are the same value

Step-by-step explanation:

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.