The standard deviation of a sample of 100 elements taken from a very large population is determined to be 60. The variance of the population
A) cannot be larger than 60.
B) cannot be larger than 3600.
C) must be at least 100.
D) can be any value greater or equal to zero.

Question

Quizplus · Accepted Answer

The variance of a population is independent of the standard deviation of a sample taken from it. The population variance can be any non-negative value, as it depends on the spread of all data points in the population, not just those in the sample.

The Standard Deviation of a Sample of 100 Elements Taken