Here you will be examining a population of size "5"and examining which of mean, median,

range, standard deviation, and variance are unbiased.

a)Consider the population of the size of the households of my immediate family members:

1,2,4,5,6};compute the mean, median,range,

standard deviation, and variance.

b)Now consider the possible random samples from this population with n=2

(you should identify 25 such samples). For each of these samples, compute the mean, median,

range,standard deviation,and variance (hint: with n=2, the median is the same as the mean).

c)At this point, you should have produced five data sets (four distinct) with 25 data values each; find the mean (only the mean) of each of these sets.

d)Compare the mean of the sample statistic data from c) with the population parameters

computed in a)-which of these are unbiased estimators?