Respuesta :

Given:

The objective is to explain whether it is possible for a standard deviation to be equal to zero.

Explanation:

A standard deviation can be zero when all the data are equal.

In general the value of standard deviation will decrease while approaching close to the mean value. Similarly, the standard deviation will increase if data points are away from the mean value.

Hence, standard deviation can be zero if all the obtained/provided data contains equal value.