Question

Which of the following is not a property of variance? A. The units of variance are the squares of the units of the original data. B. The sample variance is a biased estimator of the population variance. C. The value of the variance is zero only when all of the data values are the same number. D. The value of the variance is always positive or 0.

Answer 1

The property of variance that is not correct is option C: The value of the variance is zero only when all of the data values are the same number.

Step-by-step explanation:

The property of variance that is not correct is option C: The value of the variance is zero only when all of the data values are the same number.

Variance is a measure of how spread out the data values are from the mean. It is calculated as the average of the squared deviations from the mean. So, even if all the data values are the same number, the variance will still be positive or zero, not necessarily zero.

The units of variance are the squares of the units of the original data, which is option A. The sample variance is a biased estimator of the population variance, which is option B. And the value of the variance is always positive or zero, which is option D.