The Ages of Six Members on a Board of Directors

question 63

Short Answer

The ages of six members on a board of directors of a nonprofit organization are shown
below. $\begin{array}{r|cccccc}\text { Member } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } \\\hline \text { Age } & 32 & 52 & 43 & 64 & 41 & 50\end{array}$
Consider these board members to be a population of interest. The table below shows all of the possible samples of size four. For each sample, the people in the sample, their ages, and the sample mean are listed. Use the table to find the mean of the variable $\bar { x }$ .
$\begin{array}{c|l|l}\text { Sample } & \text { Ages } & \bar{x} \\\hline \text { A, B, C, D } & 32,52,43,64 & 47.75 \\\text { A, B, C, E } & 32,52,43,41 & 42 \\\text { A, B, C, F } & 32,52,43,50 & 44.25 \\\text { A, B, D, E } & 32,52,64,41 & 47.25 \\\text { A, B, D, F } & 32,52,64,50 & 49.5 \\\text { A, B, E, F } & 32,52,41,50 & 43.75 \\\text { A, C, D, E } & 32,43,64,41 & 45 \\\text { A, C, D, F } & 32,43,64,50 & 47.25 \\\text { A, C, E, F } & 32,43,41,50 & 41.5 \\\text { A, D, E, F } & 32,64,41,50 & 46.75 \\\text { B, C, D, E } & 52,43,64,41 & 50 \\\text { B, C, D, F } & 52,43,64,50 & 52.25 \\\text { B, C, E, F } & 52,43,41,50 & 46.5 \\\text { B, D, E, F } & 52,64,41,50 & 51.75 \\\text { C, D, E, F } & 43,64,41,50 & 49.5\end{array}$

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Definitions:

Relational Operator

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==

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A method in Java for checking object equality, typically overridden to compare the state of objects rather than their memory addresses.

String Variables

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