The preference schedule below represents an election among George (G), Holly (H), James (J), and Inez (I).

# of Voters

 

Place

13 12 10
1st G I J
2nd H H G
3rd J J H
4th I G I

There are various ways of performing the calculations needed to determine the winner of a Borda Count election. Perhaps the most straightforward way is to set up a 'calculation template' and then insert the appropriate numbers from the preference schedule. For instance, the 'calculation template' for the election above would be:

George: 4( ) + 3( ) + 2( ) + 1( ) =
Holly: 4( ) + 3( ) + 2( ) + 1( ) =
James: 4( ) + 3( ) + 2( ) + 1( ) =
Inez: 4( ) + 3( ) + 2( ) + 1( ) =

To see why this works, notice that:
the column with '4( ___ )' is where each candidate's 1st place votes are entered (for a 4 candidate election, each 1st place vote is worth 4 pts);
the column with '3( ___ )' is where each candidate's 2nd place votes are entered (for a 4 candidate election, each 1st place vote is worth 3 pts);
the column with '2( ___ )' is where each candidate's 3rd place votes are entered (for a 4 candidate election, each 3rd place vote is worth 2 pts);
the column with '1( ___ )' is where each candidate's 4th place votes are entered (for a 4 candidate election, each 4th place vote is worth 1 pt).
Aadding all the resulting products gives us the Borda Count total for each candidate.

Usng this 'template' technique, the first step is to write out the 'calculation template' based on the number of candidates in the election. Next, fill in the blanks and, finally, do the arithmetic.

Let's complete the work for this Borda Count election.

FILL IN THE BLANKS IN THE CALCULATION TEMPLATE.

DO THE ARITHMETIC. answer

Who wins the election using the Borda Count Method? answer

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