11.6.3: Formula Review
11.3 Standard Divisors, Standard Quotas, and the Apportionment Problem
Let \(A\) be a particular item and \(B\) another such that there is a constant ratio of \(A\) to \(B\).
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ratio of \(B^{\prime} \mathrm{s}\) to \(A^{\prime} \mathrm{s}=\dfrac{1}{\text { ratio of } A^{\prime} \mathrm{s} \text { to } B^{\prime} \mathrm{s}}\) and ratio of \(A^{\prime} \mathrm{s}\) to \(B^{\prime} \mathrm{s}=\dfrac{1}{\text { ratio of } B^{\prime} \mathrm{s} \text { to } A^{\prime} \mathrm{s}}\)
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units of \(A=(\) units of \(B) \times(\) ratio of \(A\) 's to \(B ' s)=\dfrac{\text { units of } B}{\text { ratio of } B^{\prime} \text { sto } A^{\prime} \mathrm{s}}\)
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units of \(B=(\) units of \(A) \times(\) ratio of \(B ' s\) to \(A ' s)=\dfrac{\text { units of } A}{\text { ratio of } A \text { 's to } B^{\prime} \mathrm{s}}\)
Standard Divisor \(=\dfrac{\text { Total Population }}{\text { House Size }}\)
State's Standard Quota \(=\dfrac{\text { State Population }}{\text { Standard Divisor }}\) seats
11.5 Fairness in Apportionment Methods
\(\begin{array}{l}\text { population growth rate }=\dfrac{\text { current population size }- \text { previous population size }}{\text { previous population size }} \\ \text { New House Size }=\dfrac{\text { New Population }}{\text { Original Standard Divisor }} \text { rounded to the nearest whole number. }\end{array}\)