Determine which of the following show three biased estimators. (1 point) a. median, mean, range b. range, standard deviation, variance c. standard deviation, median, ranged. variance, proportion, mean

c. standard deviation, median, range

Step-by-step explanation:

The standard deviation without the Bessel's correct is defined as:

And if we find the expected value for s we got:

We have this:

as we can see the sample variance is a biased estimator since:

And we see that the standard deviation is biased, since:

because

The mean is not biased for this case option a is FALSE.

The proportion is not biased for this reason option d is FALSE

The range can be considered as biased since we don't have info to conclude that the range follows a distirbution in specific.

The sample median "is an unbiased estimator of the population median when the population is normal. However, for a general population it is not true that the sample median is an unbiased estimator of the population median".

And for this reason the best option is c.