Solve the Problem Consider These Players to Be a Population of Interest

Solve the problem.
-The weights of five players on a football team are shown below. $\begin{array}{r|rrrrr}\text { Player } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } \\\hline \text { Weight (lb) } & 315 & 205 & 275 & 270 & 230\end{array}$
Consider these players to be a population of interest. The table below shows all of the possible samples of size two. For each sample, the players in the sample, their weights, and the sample mean are listed. Use the table to find the mean of the variable $\bar { x }$ .
$\begin{array}{r|c|c}\text { Sample } & \text { Weights } & \bar{x} \\\hline \text { A, B } & 315,205 & 260 \\\text { A, C } & 315,275 & 295 \\\text { A, D } & 315,270 & 292.5 \\\text { A, E } & 315,230 & 272.5 \\\text { B, C } & 205,275 & 240 \\\text { B, D } & 205,270 & 237.5 \\\text { B, E } & 205,230 & 217.5 \\\text { C, D } & 275,270 & 272.5 \\\text { C, E } & 275,230 & 252.5 \\\text { D, E } & 270,230 & 250\end{array}$

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