Which of the following statistics contain three unbiased estimators? A.variance, standard deviation, median B.variance, mean, proportion C.mean, median, range D.median, range, s…

Question

asked Sep 21, 2019 65.7k views

2 Answers

Sloth · Answer 1 · 2019-09-26T13:52:44+0000

Answer: Option 'B' is correct.

Explanation:

An estimator with zero bias is known as "Unbiased estimator".

Mean is the unbiased estimator as sample mean is always equal to population mean.

Variance is also an unbiased estimator as the expectation of the sample variance 's squared ' is equal to
$\sigma^2$ .

So, it ends up with an unbiased estimate of the population variance.

And proportion is completely unbiased estimator.

Hence, option 'B' is correct.