Sampling Distribution Question - Statistics?

Create the sampling distribution for the sample medians (with


fractional probabilities). Compute the mean of all the


sample medians (show your work in the space beside the table.


M = _____ years. Is the sample median a biased or


unbiased estimator of the population mean? Explain.








Allen Birch Clark 4 2 8 = 4


Allen Birch Davis 4 2 12 = 4


Allen Birch Evans 4 2 6 = 4


Allen Birch Fuller 4 2 4 = 4


Allen Birch Graves 4 2 20 = 4


Allen Clark Davis 4 8 12 = 8


Allen Clark Evans 4 8 6 = 6


Allen Clark Fuller 4 8 4 = 4


Allen Clark Graves 4 8 20 = 8


Allen Davis Evans 4 12 6 = 6


Allen Davis Fuller 4 12 4 = 4


Allen Davis Graves 4 12 20 = 12


Allen Evans Fuller 4 6 4 = 4


Allen Evans Graves 4 6 20 = 6


Allen Fuller Graves 4 4 20 = 4


Birch Clark Davis 2 8 12 = 8


Birch Clark Evans 2 8 6 = 6


Birch Clark Fuller 2 8 4 = 4


Birch Clark Graves 2 8 20 = 8


Birch Davis Evans 2 12 6 = 6


Birch Davis Fuller 2 12 4 = 4


Birch Davis Graves 2 12 20 = 12


Birch Evans Fuller 2 6 4 = 4


Birch Evans Graves 2 6 20 = 6


Birch Fuller Graves 2 4 20 = 4


Clark Davis Evans 8 12 6 = 8


Clark Davis Fuller 8 12 4 = 8


Clark Davis Graves 8 12 20 = 12


Clark Evans Fuller 8 6 4 = 6


Clark Evans Graves 8 6 20 = 8


Clark Fuller Graves 8 4 20 = 8


Davis Evans Fuller 12 6 4 = 6


Davis Evans Graves 12 6 20 = 12


Davis Fuller Graves 12 4 20 = 12


Evans Fuller Graves 6 4 20 = 6|||I think it's statistically probable that you've never had a girlfriend.





The answer is 7 years, unbiased.|||m:..............4........6........8.....…


Freq:........12.......9........8......…


P (M=m)13/34.. 9/34 .. 8/34 ...4/34


Mean = 4X13/34+6X9/34+8X8/34+12X4/34 = 6.41 years





The data looks like years associated with samples of 3 children (?)


The sample median is not an unbiased estimator of the mean