If the variance of a data set is correctly computed with the formula using n - 1 in the denominator, which of the following is true?
A)the data set is a sample
B)the data set is a population
C)the data set could be either a sample or a population
D)the data set is from a census

Question

Quizplus · Accepted Answer

The formula for variance with a denominator of n-1 is used for computing the variance of a sample, while the formula with a denominator of n is used for computing the variance of a population. Since the given formula has a denominator of n, the data set is more likely to be a population. However, it is important to note that the formula can still be used for a sample, but it would result in a biased estimate of the population variance. Therefore, the only certain answer is A, which states that the data set is a sample.

If the Variance of a Data Set Is Correctly Computed