Answer to Question #313176 in Statistics and Probability for Shaine

Question

A population consist of the value ( 1,4,3,2). Consider sample of sizes 2 that can be drawn from this population.

Answer 1

Population size $N=4$

Sample size $n=2$

Possible samples

$=C_4^2=\binom42=6$ samples

$~~~\def\arraystretch{1.5}\begin{array}{c:c:c} no.& sample &mean\\\hline1&1,4&2.5\\\hdashline2&1,3&2.0\\\hdashline3&1,2&1.5\\\hdashline4&4,3&3.5\\\hdashline5&4,2&3.0\\\hdashline6&3,2&2.5\\\hline\end{array}$