6.19 Malapportionment

Equality of voters:

\[\frac{v_1}{s_1} = \frac{v_2}{s_2} = \text{ ... } = \frac{v_i}{s_i}\]

\[\frac{s_i}{TS} = \frac{v_i}{TV} \forall i\]

where:

  • \(TV\) = a total number of inhabitants or eligible voters;
  • \(TS\) = a total number of seats to be apportioned;
  • \(v_i\) = a number of inhabitants or eligible voters in the \(i-\)th district;
  • \(s_i\) = a number of seats to be assigned to the \(i\)-th district.