A random sample from an unknown population had a sample standard deviation of zero. Which one of the following is a reasonable conclusion?
A) The sample range must be zero.
B) An error was made in computing the sample standard deviation. It must always be greater than zero.
C) The population standard deviation must be zero.
D) The population standard deviation must be zero when the mean is zero.
E) None of these.

Question

Quizplus · Accepted Answer

If the sample standard deviation is zero, it means all the sample values are identical, leading to a sample range (difference between the highest and lowest values) of zero.

A Random Sample from an Unknown Population Had a Sample