143k views
5 votes
. Which of the following statistics are unbiased estimators of population parameters?

A) Mean
B) Median
C) Standard deviation
D) Variance

User CharlieP
by
8.2k points

1 Answer

4 votes

Final answer:

The mean and the variance are unbiased estimators of population parameters.

Step-by-step explanation:

The statistics that are unbiased estimators of population parameters are the mean and the variance.

The mean is an unbiased estimator of the population mean, as long as a random sample is used and the population distribution is not highly skewed. The mean is calculated by summing all the data values and dividing by the number of data points.

The variance is an unbiased estimator of the population variance. It measures the spread of the data from the mean and is calculated by taking the average of the squared differences between each data point and the mean. It is important to note that the sample variance formula uses a denominator of n-1, where n is the sample size, to correct for bias.

User Ayzen
by
8.1k points