Questions: Before a conference, participants on a panel voted on the topic for the keynote address. The choices were (T)echnology, (P)overty, (E)conomy, (G)lobal Warming, and (F)oreign Policy. The votes are summarized in the preference table. What topic is selected using the plurality method? Preference Number of Ballots --- --- 11 5 14 8 T 1st G E E T P 2nd T G G E G 3rd E T F P T 4th P F T G E 5th F P P F F The topic should be

Before a conference, participants on a panel voted on the topic for the keynote address. The choices were (T)echnology, (P)overty, (E)conomy, (G)lobal Warming, and (F)oreign Policy. The votes are summarized in the preference table. What topic is selected using the plurality method? Preference Number of Ballots --- --- 11 5 14 8 T 1st G E E T P 2nd T G G E G 3rd E T F P T 4th P F T G E 5th F P P F F The topic should be
Transcript text: Before a conference, participants on a panel voted on the topic for the keynote address. The choices were (T)echnology, (P)overty, (E)conomy, (G)lobal Warming, and (F)oreign Policy. The votes are summarized in the preference table. What topic is selected using the plurality method? \begin{tabular}{|c|c|c|c|c|c|} \hline \multirow{2}{*}{ Preference } & \multicolumn{5}{|c|}{ Number of Ballots } \\ \cline { 2 - 6 } & 11 & $\mathbf{5}$ & 14 & 8 & T \\ \hline 1st & $G$ & $E$ & $E$ & $T$ & $P$ \\ \hline 2nd & $T$ & $G$ & $G$ & $E$ & $G$ \\ \hline 3rd & $E$ & $T$ & $F$ & $P$ & $T$ \\ \hline 4th & $P$ & $F$ & $T$ & $G$ & $E$ \\ \hline 5th & $F$ & $P$ & $P$ & $F$ & $F$ \\ \hline \end{tabular} The topic should be $\square$
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Solution

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Solution Steps

Step 1: Identify the number of first-place votes for each topic
  • Count the number of first-place votes for each topic based on the preference table:
    • \( G \): 11 votes (from the first column)
    • \( E \): 5 + 14 = 19 votes (from the second and third columns)
    • \( T \): 8 votes (from the fourth column)
    • \( P \): 1 vote (from the fifth column)
    • \( F \): 0 votes (no first-place votes)
Step 2: Determine the topic with the most first-place votes
  • Compare the number of first-place votes:
    • \( G \): 11 votes
    • \( E \): 19 votes
    • \( T \): 8 votes
    • \( P \): 1 vote
    • \( F \): 0 votes
  • The topic with the most first-place votes is \( E \) (Economy) with 19 votes.
Step 3: Conclude the selected topic using the plurality method
  • According to the plurality method, the topic with the most first-place votes is selected. Therefore, the selected topic is \( E \) (Economy).

Final Answer

\(\boxed{E}\)

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