MATH 110 Exam | Questions and Verified Answers | 100% Correct | Verified

MATH 110 Exam | Questions and Verified
Answers | 100% Correct | Verified
• Plurality with Elimination -✓✓lowest candidate eliminated, another election takes place
and lowest eliminated. Process continues until a winner is declared.

***Too long to read lol, watch this video instead. ***
try pausing the video first and trying the problem out first
https://www.youtube.com/watch?v=UNqgo3H5YaQ

• Instant Run-Off -✓✓A voting method used for single-winner elections where voters
rank candidates. If no candidate gets a majority of first-choice votes, the candidate with
the fewest votes is eliminated. Votes for the eliminated candidate are redistributed to
the next choice on each ballot. This process repeats until one candidate has a majority.

***Too long to read lol, watch this video instead. ***
try pausing the video first and trying the problem out first
https://www.youtube.com/watch?v=6axH6pcuyhQ

• Borda Count -✓✓A ranking-based voting method where voters rank candidates in
order of preference. Points are assigned based on position in each ranking (e.g., in a 4-
candidate race, 1st place gets 3 points, 2nd gets 2, etc.). The candidate with the highest
total score wins.

***Too long to read lol, watch this video instead. ***
try pausing the video first and trying the problem out first
https://www.youtube.com/watch?v=hVG9jmA4FBU

• pairwise comparison -✓✓A voting method where each candidate is compared head-to-
head with every other candidate. The winner of each matchup earns a point, and the
candidate with the most points overall is the winner. This method is based on the idea of
majority rule in individual comparisons.

***Too long to read lol, watch this video instead. ***
try pausing the video first and trying the problem out first
https://www.youtube.com/watch?v=4XcAl28RBrA

• standard divisor -✓✓total population/total number of seats

• standard quota -✓✓states population/standard divisor

• geometric mean -✓✓square root of the sum of the lower quota times the upper quota

, • Hamiltons method -✓✓based on lower quota

***I can't possibly type out an example here, so watch this***
try pausing the video first and trying the problem out first
https://www.youtube.com/watch?v=YWfEqWLz9pc

• hill-huntington method -✓✓use geometric mean; if the standard quota is GREATER
OR EQUAL, you round up, but ifc the standard is LESS you round down

***watch the video for example***
try pausing the video first and trying the problem out first
https://www.youtube.com/watch?v=l74j-auLjZE

• Adams's method -✓✓***watch the video for example***
try pausing the video first and trying the problem out first
https://www.youtube.com/watch?v=soqGnP0ULxo

• Webster's method -✓✓***watch the video for example***
https://www.youtube.com/watch?v=ZNybGTvz_hQ

• Jefferson method -✓✓round quota down; decrease the divisor as needed

***watch the video for example***
try pausing the video first and trying the problem out first
https://www.youtube.com/watch?v=weGGVmy9yLc

• alabama paradox -✓✓a new seat is added but one population (A) loses a seat to
another population (B) despite no change in total population in those places

***watch the video for example***
try pausing the video first and trying the problem out first
https://www.youtube.com/watch?v=-5gMG408H74

• new states paradox -✓✓by adding a new state (A), a different state (B) will lose a seat
to a third state (C) despite the fact that no populations changed

***watch the video for example***
try pausing the video first and trying the problem out first
https://www.youtube.com/watch?v=VSLsfvftr7A

• population paradox -✓✓one state (A) loses a seat to another (B) even though A is
growing faster than B

***watch the video for example***
try pausing the video first and trying the problem out first