Modified Divisor Methods

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

Apportionment involves dividing discrete objects among various groups according to some plan. For example, congressional seats are apportioned among the various states based on their populations. In modified divisor methods, the apportionment plan is to find a modified divisor so that, when each state population is divided by and rounded to a whole number, the rounded values add up to the correct number of seats.

[more]

Adjust the value of the modified divisor to get the correct total number of seats. Compare the apportionments from the different methods, paying attention to the effect on large versus small population states.

[less]

Contributed by: Jim Brandt (August 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details

The standard quota represents the exact number of seats a state should be given (including the decimal part). In general, modified divisor methods can lead to situations where a state is apportioned a number of seats that differs from its standard quota by more than one. This is called a "quota rule violation".

For more information on apportionment methods, see the AMS feature column by Joseph Malkevitch.



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send